Gr 11 Math Lit: November Medium P(2)

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What is the main purpose of using a national road map in South Africa?

To find the location of a specific street in a city

To estimate the cost of refuelling

To determine the position of a house within a housing complex

To plan a route between two major cities (correct)

What is the main advantage of using a strip chart when planning a road trip?

It shows the location of streets and other locations within a city

It provides a detailed view of the entire country

It gives accurate traveling distances on specific sections of a route (correct)

It provides a grid reference system with a street index

What skill is required when using a street map to navigate a city?

Estimating traveling costs and times

Deciding on the most appropriate route between destinations

Working with a map that shows a small area with limited detail

Identifying locations using symbols and following directions (correct)

What is the formula for calculating the actual distance from a map measurement?

Actual distance = Map measurement × Scale factor (A) Signup and view all the answers

What is the purpose of using the scale on a map?

To estimate traveling distances when a distance table or distance markers are not provided (A) Signup and view all the answers

What type of map is used to show the positions of houses within a small housing complex?

Housing complex map (B) Signup and view all the answers

What is the main skill required when using a housing complex map?

Working with a map that shows a small area with limited detail (C) Signup and view all the answers

What is the second type of scale calculation required in map work?

Converting actual distances to map measurements (B) Signup and view all the answers

What is the formula to convert the actual distance to the map measurement?

Map measurement = Actual distance ÷ Scale factor (A) Signup and view all the answers

What is the main difference between a number scale and a bar scale?

A number scale shows the relationship between the size of the area on the map and the actual size of that area, while a bar scale shows the relationship between measured length and actual distance (B) Signup and view all the answers

What is the purpose of a floor plan?

To show a 2-dimensional perspective of a building as seen from above, without the roof (A) Signup and view all the answers

What happens to a number scale when a map is resized?

The number scale becomes invalid, and a new number scale must be determined (D) Signup and view all the answers

What is the formula to convert the map measurement to the actual distance?

Actual distance = Map measurement × Scale factor (C) Signup and view all the answers

Why is it only possible to estimate distances on a map using a scale and not to determine distances accurately?

Because many factors can affect the accuracy of a distance calculation on a map (C) Signup and view all the answers

What is the relationship between the size of the area on the map and the actual size of that area in a number scale?

The map is smaller than the actual area (D) Signup and view all the answers

What is the advantage of using a bar scale over a number scale?

A bar scale remains valid even if the map is resized (D) Signup and view all the answers

What is the purpose of a scale on a map?

To estimate traveling distances (D) Signup and view all the answers

What is the difference between Calculation Type 1 and Calculation Type 2?

Calculation Type 1 is used to determine the map measurement, while Calculation Type 2 is used to determine the actual distance (C) Signup and view all the answers

What is the primary difference between simple and compound events?

The complexity of the probability calculation (D) Signup and view all the answers

What is the purpose of a tree diagram in compound events?

To list all possible outcomes and determine their probabilities (C) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (C) Signup and view all the answers

What is the purpose of using historical trends in probability predictions?

To observe past trends and predict future events (C) Signup and view all the answers

What is the primary advantage of using two-way tables in compound events?

They are useful for determining probability values and making predictions (B) Signup and view all the answers

What is the difference between a probability value and a guarantee?

A probability value is a prediction, while a guarantee is a certain outcome (C) Signup and view all the answers

What is the purpose of expressing probability values in different formats?

To make the probability values easier to understand (C) Signup and view all the answers

What is the primary goal of drawing 2D plans or nets?

To understand the faces and edges of the 3D model (A) Signup and view all the answers

What is an example of a simple event?

A weather forecast (D) Signup and view all the answers

What is the importance of understanding instructions in the assembly process?

To identify all parts and components needed for assembly (D) Signup and view all the answers

What is the primary purpose of understanding the distinction between simple and compound events?

To accurately determine and interpret probability values (D) Signup and view all the answers

What is the purpose of measuring materials accurately in the assembly process?

To ensure that materials fit together correctly (A) Signup and view all the answers

What is a characteristic of a probability value?

It is a prediction, not a guarantee (A) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (D) Signup and view all the answers

What is the definition of a simple event in probability?

An event that involves a single occurrence or trial (B) Signup and view all the answers

Why is it essential to follow the assembly steps in the correct sequence?

To ensure that components fit together properly (A) Signup and view all the answers

What is the purpose of regularly checking the assembled parts against the instructions or plans?

To ensure accuracy and make adjustments as needed (B) Signup and view all the answers

What is the importance of using mathematical tools and techniques in the assembly process?

To measure and cut materials accurately (A) Signup and view all the answers

What is the purpose of estimating the quantities of materials needed for the assembly?

To ensure that all necessary materials are available (D) Signup and view all the answers

What is the outcome of correctly following the steps to assemble components?

A correctly assembled product (A) Signup and view all the answers

What is the primary purpose of a floor plan?

To see the design and dimensions of the inside of a building or structure (B) Signup and view all the answers

What is the function of an elevation plan?

To see the design and dimensions of the outside of a building or structure (B) Signup and view all the answers

What is the purpose of a design drawing?

To show the design, layout, and components of an item to be constructed or manufactured (C) Signup and view all the answers

What is the key concept for working with plans that involves identifying various elements like rooms, windows, and doors on the plan?

Describe features of a building/structure (A) Signup and view all the answers

What is the formula used to calculate the plan measure from an actual dimension?

Plan Measure = Actual Dimension ÷ Scale Factor (D) Signup and view all the answers

What is the primary purpose of the section on drawing scaled plans?

To calculate the plan measure from an actual dimension (B) Signup and view all the answers

What is the key skill required to build 3D models from 2D plans/nets?

Understanding 2D plans/nets (C) Signup and view all the answers

What is the process involved in building 3D models from 2D plans/nets?

Cutting out the 2D net from the provided plans and then folding along the indicated lines to form the edges and faces of the 3D object (B) Signup and view all the answers

What is the purpose of creating a 2D net of a 3D model?

To facilitate the movement between 2D and 3D representations of objects (D) Signup and view all the answers

What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

Building 3D models from 2D plans/nets (B) Signup and view all the answers

What is the characteristic of a constant ratio relationship?

The value is increased by a factor, and then this new increased value is again increased by the factor or percentage (D) Signup and view all the answers

What is the purpose of drawing graphs of unfamiliar situations?

To make sense of the situation and reveal patterns and trends (C) Signup and view all the answers

What is the name of the relationship characterized by a graph that looks like a series of steps?

Step-Function Relationship (D) Signup and view all the answers

What is the name of the portion of the graph that represents a fixed fee that does not change with usage?

Flat Portion (A) Signup and view all the answers

What is the name of the relationship that occurs when a value is increased by a factor, and then this new increased value is again increased by the factor or percentage?

Constant Ratio Relationship (C) Signup and view all the answers

What is the benefit of recognizing and understanding the implications of constant ratio relationships, combination relationships, and step-function relationships?

We can recognize and analyze patterns and trends in real-world situations (B) Signup and view all the answers

What is the characteristic of a step-function relationship?

Different fees are charged for different time intervals (B) Signup and view all the answers

What is the name of the portion of the graph that represents additional charges that increase linearly with usage?

Increasing Portion (D) Signup and view all the answers

What is the benefit of drawing graphs of real-world situations:

We can recognize and analyze patterns and trends, and make sense of the situation (D) Signup and view all the answers

What is the characteristic of a combination of relationships?

The graph is made up of different portions, each representing a different relationship (A) Signup and view all the answers

What is the key difference between simple and compound events?

Simple events involve a single occurrence, while compound events involve multiple occurrences. (C) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (B) Signup and view all the answers

What is the purpose of a tree diagram in compound events?

To visualize all possible outcomes of an event and determine their probabilities (B) Signup and view all the answers

What is the purpose of drawing graphs of unfamiliar situations?

To make sense of the situation and reveal patterns and trends (A) Signup and view all the answers

What is the characteristic of a constant ratio relationship?

A graph that becomes steeper at an increasing rate (C) Signup and view all the answers

What do you read from the horizontal axis at the point of intersection?

The quantity or unit (B) Signup and view all the answers

What is the trial and improvement method used for?

Determining the point of intersection (C) Signup and view all the answers

What is the main difference between a simple event and a compound event?

The complexity of the calculation (D) Signup and view all the answers

What can be understood by analyzing the intersection points and the regions around them?

Where different systems or scenarios yield the same results (B) Signup and view all the answers

What is the purpose of a two-way table in compound events?

To compare two different variables and determine their probabilities (B) Signup and view all the answers

What is the significance of a probability value?

It predicts the likelihood of an event (D) Signup and view all the answers

What is the conversion factor to convert weight from kilograms to pounds?

2.206 (B) Signup and view all the answers

What is an example of a compound event?

A car insurance rate prediction (B) Signup and view all the answers

What is the formula to convert temperature from Celsius to Fahrenheit?

°F = (1.8 × °C) + 32 (C) Signup and view all the answers

Why are conversions between solid and liquid quantities essential?

In various contexts such as baking and construction (D) Signup and view all the answers

What is a characteristic of a graph that represents a combination of relationships?

It has a flat portion and an increasing portion (B) Signup and view all the answers

What is the result of estimating the point of intersection from a graph?

A quantity or unit where both graphs have the same value (B) Signup and view all the answers

Why is it important to understand that probability values are predictions, not guarantees?

To recognize the uncertainty in prediction (B) Signup and view all the answers

What is the importance of understanding intersection points?

To analyze and interpret data (B) Signup and view all the answers

What is the result of using the trial and improvement method?

A pair of values that produce the same result in both equations (D) Signup and view all the answers

What is the surface area of a rectangular box with length 5 cm, width 3 cm, and height 2 cm?

62 cm² (A) Signup and view all the answers

What is the volume of a cylindrical container with a radius of 4 cm and a height of 10 cm?

160π cm³ (B) Signup and view all the answers

What is the conversion from cubic meters to liters?

1 m³ = 1000 L (B) Signup and view all the answers

What is the unit of measurement for surface area?

Square units (e.g., cm², m²) (D) Signup and view all the answers

What is the formula for the surface area of a rectangular box?

SA = 2lw + 2lh + 2wh (B) Signup and view all the answers

What is the conversion from cubic centimeters to milliliters?

1 cm³ = 1 mL (C) Signup and view all the answers

What is the volume of a rectangular box with length 6 cm, width 4 cm, and height 3 cm?

72 cm³ (B) Signup and view all the answers

What is the formula to convert grams to milliliters?

Volume (ml) = (Weight (g) / Conversion Factor) × Conversion Factor for Volume (C) Signup and view all the answers

What is the importance of considering the appropriate units when calculating surface area and volume?

To ensure accurate calculations (C) Signup and view all the answers

What is the conversion factor to convert from cubic meters to liters?

1,000 (A) Signup and view all the answers

What is the formula for the volume of a cylindrical container?

V = πr²h (A) Signup and view all the answers

What is the formula to calculate the amount of paint needed?

Paint Needed (liters) = Surface Area (m²) / Spread Rate (m²/liter) (D) Signup and view all the answers

How do you convert minutes to seconds?

Multiply the number of minutes by 60 (C) Signup and view all the answers

What happens when you convert from cubic meters to cubic centimeters?

The value increases by a factor of 1000 (A) Signup and view all the answers

What is the purpose of converting time values to a single unit?

To make the time values easier to compare (D) Signup and view all the answers

How do you calculate the difference between two time values?

Subtract the smaller time value from the larger one (D) Signup and view all the answers

What is the purpose of a timetable?

To identify the week, date, and time of events (B) Signup and view all the answers

What is the conversion factor to convert from cubic centimeters to milliliters?

1 (D) Signup and view all the answers

Why is it important to use the provided conversion factors?

To ensure accuracy in the conversions (A) Signup and view all the answers

What is the formula to convert hours to seconds?

Seconds = Hours × 3600 (B) Signup and view all the answers

What is the primary purpose of converting time units?

To perform calculations involving time (B) Signup and view all the answers

What is the formula to convert minutes to hours?

Hours = Minutes / 60 (A) Signup and view all the answers

What is the primary purpose of measuring time accurately?

To plan and organize activities effectively (A) Signup and view all the answers

What is the purpose of understanding units of measurement?

To recognize and use standard units of measurement (C) Signup and view all the answers

What is the purpose of using measurement techniques?

To measure length, area, and volume (C) Signup and view all the answers

What is the purpose of estimation techniques?

To make reasonable estimates of quantities when exact measurement is not possible (C) Signup and view all the answers

What is the primary purpose of using benchmark values in estimation?

To use known reference points to make estimations more accurate (B) Signup and view all the answers

What is the primary purpose of calculating perimeter, area, and volume?

To apply formulas to real-life problems (A) Signup and view all the answers

What is the primary purpose of using significant figures in measurement?

To reflect the precision of the data (C) Signup and view all the answers

What is the primary purpose of error analysis in measurement?

To account for potential errors in measurement (C) Signup and view all the answers

What is the primary purpose of a floor plan?

To show the design and dimensions of the inside of a building or structure (A) Signup and view all the answers

What is the function of an elevation plan?

To show the design and dimensions of the outside of a building or structure (D) Signup and view all the answers

What is the purpose of a design drawing?

To show the design, layout, and components of an item to be constructed or manufactured (A) Signup and view all the answers

What is the key concept for working with plans that involves understanding how to match features shown on a floor plan with those shown on elevation plans of the same building/structure?

Match Features Between Plans (D) Signup and view all the answers

What information is typically provided on a national road map?

Major routes, roads, and distances between major cities and towns in South Africa (B) Signup and view all the answers

What is the formula used to calculate the plan measure from an actual dimension?

Plan Measure = Actual Dimension ÷ Scale Factor (C) Signup and view all the answers

What is the primary purpose of using a strip chart?

To provide detailed information on specific routes (C) Signup and view all the answers

What is the primary purpose of the section on drawing scaled plans?

To facilitate the movement between 2D and 3D representations of objects (A) Signup and view all the answers

What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

Build 3D models from 2D plans/nets (B) Signup and view all the answers

What is the formula used to calculate the actual distance from a map measurement?

Actual distance = Map measurement × Scale factor (B) Signup and view all the answers

What skill is required when using a street map to navigate a city?

Identifying locations using symbols (A) Signup and view all the answers

What is the process involved in building 3D models from 2D plans/nets?

Cut out the 2D net from the provided plans and fold along the indicated lines (A) Signup and view all the answers

What is the purpose of creating a 2D net of a 3D model?

To facilitate the movement between 2D and 3D representations of objects (C) Signup and view all the answers

What is the primary purpose of using the scale on a map?

To estimate actual distances when a distance table is not provided (D) Signup and view all the answers

What is the key concept that involves understanding how to describe the item/object shown on the design plan?

Describe the Item/Object (B) Signup and view all the answers

What type of map is used to show the positions of houses within a small housing complex?

Housing complex map (B) Signup and view all the answers

What is the second type of scale calculation required in map work?

Converting actual distances to map measurements (C) Signup and view all the answers

What is the key concept required when working with maps that involves using a grid reference system?

Using a grid reference system with the street index (C) Signup and view all the answers

What is the primary purpose of creating a 2D net of a 3D model?

To visualize the faces and edges of the 3D model (D) Signup and view all the answers

What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

Drawing 2D plans/nets (D) Signup and view all the answers

What is the purpose of estimating the quantities of materials needed for the assembly?

To ensure that all necessary materials are available (B) Signup and view all the answers

What is the primary purpose of using mathematical tools and techniques in the assembly process?

To measure materials accurately (D) Signup and view all the answers

What is the outcome of correctly following the steps to assemble components?

The assembly process is completed successfully (C) Signup and view all the answers

What is the importance of understanding instructions in the assembly process?

To identify all components and tools required (D) Signup and view all the answers

What is the primary purpose of regularly checking the assembled parts against the instructions or plans?

To make adjustments as necessary to correct any mistakes (A) Signup and view all the answers

Why is it essential to follow the assembly steps in the correct sequence?

To avoid errors and ensure that the components fit together properly (B) Signup and view all the answers

What is the definition of a simple event in probability?

An event that involves a single occurrence or trial (D) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (A) Signup and view all the answers

What is the main difference between number scale and bar scale on a map?

Number scale expresses a specific relationship between the size of the area on the map and the actual size of that area, while bar scale shows the relationship between measured length and actual distance (B) Signup and view all the answers

What is the purpose of using a scale on a map?

To estimate the distance between two points (D) Signup and view all the answers

What is the formula to convert the actual distance to the map measurement?

Map measurement = Actual distance / Scale factor (C) Signup and view all the answers

What happens to a number scale when a map is resized?

The number scale becomes invalid (C) Signup and view all the answers

What is the primary advantage of using a bar scale over a number scale?

A bar scale remains valid even when the map is resized (D) Signup and view all the answers

What is the purpose of a floor plan?

To show the 2-dimensional perspective of a building or structure as seen from above (D) Signup and view all the answers

What is the difference between Calculation Type 1 and Calculation Type 2?

Calculation Type 1 is used to calculate the actual distance, while Calculation Type 2 is used to calculate the map measurement (A) Signup and view all the answers

Why is it only possible to estimate distances on a map using a scale and not to determine distances accurately?

Because many factors, including accurate measurement, can affect the accuracy of a distance calculation on a map (D) Signup and view all the answers

What is the relationship between the size of the area on the map and the actual size of that area in a number scale?

The size of the area on the map is a specific ratio of the actual size of that area (B) Signup and view all the answers

What is the purpose of using the scale on a map to estimate distances?

To estimate the distance between two points, taking into account the many factors that can affect the accuracy of a distance calculation (A) Signup and view all the answers

What is the primary purpose of using tree diagrams in compound events?

To visualize and list all possible outcomes of events (C) Signup and view all the answers

What is the difference between a probability value and a guarantee?

A probability value is a prediction, while a guarantee is a certainty (D) Signup and view all the answers

What is the purpose of expressing probability values in different formats?

To provide easier interpretation and understanding (D) Signup and view all the answers

What is the primary goal of understanding the distinction between simple and compound events?

To accurately determine and interpret probability values (A) Signup and view all the answers

What is the characteristic of a probability value?

It is a prediction (A) Signup and view all the answers

What is the purpose of using two-way tables in compound events?

To determine probability values and make predictions (A) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (C) Signup and view all the answers

What is the purpose of historical trends in probability predictions?

To predict future events based on past data (D) Signup and view all the answers

What is the definition of a compound event?

An event that involves more than one occurrence or trial (A) Signup and view all the answers

What is the primary advantage of using percentage format in probability values?

It is easier to interpret (B) Signup and view all the answers

What is the primary purpose of checking the venue of an event?

To plan accordingly (A) Signup and view all the answers

What is the formula to convert minutes to hours?

Hours = Minutes / 60 (A) Signup and view all the answers

What is the purpose of measuring time in real-life contexts?

To plan and organize activities effectively (B) Signup and view all the answers

What is the primary purpose of understanding units of measurement?

To recognize standard units of measurement (B) Signup and view all the answers

What is the purpose of using thermometers in measuring techniques?

To measure temperature (D) Signup and view all the answers

What is the purpose of estimating quantities in real-life contexts?

To make reasonable estimates when exact measurement is not possible (C) Signup and view all the answers

What is the primary purpose of using significant figures in measurement?

To reflect the precision of the data (A) Signup and view all the answers

What is the purpose of accounting for potential errors in measurement?

To understand and account for potential errors (B) Signup and view all the answers

What is the primary purpose of identifying the quantity to be measured or estimated?

To determine the type of measurement or estimation required (D) Signup and view all the answers

What is the purpose of using benchmarks in estimation techniques?

To use known reference points or benchmarks (B) Signup and view all the answers

What is the point of intersection on a graph?

The point where two graphs have the same value (A) Signup and view all the answers

What is the purpose of drawing graphs of unfamiliar situations?

To make sense of the situation and reveal patterns and trends (D) Signup and view all the answers

What is the trial and improvement method used for?

To determine the values at which two relationships are equal (D) Signup and view all the answers

What is the importance of understanding intersection points?

To analyze and interpret data (D) Signup and view all the answers

What is the conversion factor to convert weight from kilograms to pounds?

2.206 (D) Signup and view all the answers

What is the formula to convert temperature from Celsius to Fahrenheit?

°F = (1.8 × °C) + 32 (A) Signup and view all the answers

What is the purpose of converting between solid and liquid quantities?

To perform conversions in various contexts such as baking and construction (B) Signup and view all the answers

What is the first step in estimating the point of intersection from a graph?

Identify the two graphs (A) Signup and view all the answers

What is the result of continuing to adjust the values and substituting them into the equations in the trial and improvement method?

Finding a pair of values that produce the same result in both equations (C) Signup and view all the answers

What do intersection points provide insights into?

Where different systems or scenarios yield the same results (A) Signup and view all the answers

What is the correct formula to convert weight from grams to volume in milliliters?

Volume (ml) = (Weight (g) / Conversion Factor) x Conversion Factor for Volume (A) Signup and view all the answers

What is the step to calculate the total liters of paint needed, given the surface area and spread rate?

Divide the surface area by the spread rate (D) Signup and view all the answers

What is the correct formula to convert time from minutes to seconds?

Seconds = Minutes x 60 (C) Signup and view all the answers

What is the purpose of breaking down time values into hours, minutes, and seconds when calculating time differences?

To make the calculation more accurate (C) Signup and view all the answers

What is the key concept when using a timetable?

All of the above (D) Signup and view all the answers

What is the advantage of converting time recording values into a single unit?

It makes the calculation easier to perform (A) Signup and view all the answers

What is the purpose of using conversion factors in converting between units?

To ensure the correct conversion between units (D) Signup and view all the answers

What is the formula to convert volume from cubic units to liters?

Volume (l) = Volume (m³) x 1000 (A) Signup and view all the answers

What is the importance of double-checking calculations when performing conversions?

It ensures the calculation is accurate (C) Signup and view all the answers

What is the key concept when converting between units?

Using the correct conversion factor (B) Signup and view all the answers

What is the main difference between a simple event and a compound event?

Simple events have a single outcome, while compound events have multiple outcomes. (D) Signup and view all the answers

What is the purpose of using a tree diagram in compound events?

To visualize and list all possible outcomes of events. (D) Signup and view all the answers

What is the characteristic of a probability value?

It is a prediction, not a guarantee. (B) Signup and view all the answers

What is the purpose of expressing probability values in different formats?

To make the probability values easier to understand and compare. (B) Signup and view all the answers

What is the key concept of a constant ratio relationship?

A graph that becomes steeper at an increasing rate. (B) Signup and view all the answers

What is the primary purpose of using two-way tables in compound events?

To organize and analyze data to make predictions. (D) Signup and view all the answers

What is the difference between a probability value and a guarantee?

A probability value is a prediction, while a guarantee is a rule. (D) Signup and view all the answers

What is the purpose of historical trends in probability predictions?

To determine the probability of an event based on past data. (A) Signup and view all the answers

What is the primary advantage of using probability values in predictions?

They allow for informed decisions based on likelihood. (A) Signup and view all the answers

What is the importance of understanding uncertainty in prediction?

It is important, as probability values are predictions, not guarantees. (A) Signup and view all the answers

What is the characteristic of a constant ratio relationship?

The value increases at an increasing rate (D) Signup and view all the answers

What is represented by a flat portion in a graph?

A fixed fee that does not change with usage (A) Signup and view all the answers

What type of relationship is characterized by a graph that looks like a series of steps?

Step-function relationship (D) Signup and view all the answers

What skill is required to draw and interpret graphs for any situation?

Ability to draw and interpret graphs (C) Signup and view all the answers

What type of relationship occurs when different fees or values are charged for different time intervals?

Step-function relationship (A) Signup and view all the answers

What is the formula for calculating the surface area of a rectangular box?

SA = 2lw + 2lh + 2wh (C) Signup and view all the answers

What is the purpose of drawing graphs of unfamiliar situations?

To make sense of the situation and reveal patterns and trends (A) Signup and view all the answers

What is the unit of measurement for volume?

Cubic units (e.g., mm³, cm³, m³) (A) Signup and view all the answers

What is the conversion ratio between cubic meters and liters?

1 m³ = 1000 L (D) Signup and view all the answers

What is represented by an increasing portion in a graph?

Additional charges that increase linearly with usage (D) Signup and view all the answers

What is characterized by a graph that is not a straight line but becomes steeper at an increasing rate?

Constant ratio relationship (D) Signup and view all the answers

What is the formula for calculating the volume of a rectangular box?

V = l × w × h (D) Signup and view all the answers

What is the formula for calculating the surface area of a cylinder?

SA = 2πr² + 2πrh (A) Signup and view all the answers

What skill is required to recognize and understand the implications of different relationships?

Ability to recognize relationships (D) Signup and view all the answers

What is the purpose of recognizing and understanding the implications of different relationships?

To make informed decisions (A) Signup and view all the answers

Why is it necessary to convert between units when performing surface area and volume calculations?

To convert between different units of measurement (C) Signup and view all the answers

What is the purpose of the formula V = ah, where a is the area of the base and h is the height?

To calculate the volume of a rectangular-based container (B) Signup and view all the answers

What is the importance of understanding the difference between surface area and volume?

To apply mathematical concepts to real-world problems (A) Signup and view all the answers

What is the conversion ratio between cubic centimeters and milliliters?

1 cm³ = 1 mL (B) Signup and view all the answers

What is the purpose of recording measurements or estimations with the correct units and precision?

To ensure accuracy in calculations (C) Signup and view all the answers

What is the primary purpose of using a national road map in South Africa?

To identify locations of major roads and distances between cities and towns. (A) Signup and view all the answers

What is the advantage of using a strip chart when planning a road trip?

It is a more detailed map of a specific route. (B) Signup and view all the answers

What is the primary skill required when using a street map to navigate a city?

Identifying locations using symbols. (D) Signup and view all the answers

What is the formula to calculate the actual distance from a map measurement?

Actual distance = Map measurement × Scale factor (C) Signup and view all the answers

What is the primary purpose of using the scale on a map?

To estimate distances between locations. (B) Signup and view all the answers

What type of map is used to show the positions of houses within a small housing complex?

Housing complex map (B) Signup and view all the answers

What is the primary skill required when using a housing complex map?

Following and describing directions to a specific location. (A) Signup and view all the answers

What is the second type of scale calculation required in map work?

Actual distance to map measurement. (B) Signup and view all the answers

What is the purpose of a scale on a map?

To enable the user to estimate traveling distances accurately (B) Signup and view all the answers

What happens to a bar scale if the size of the map is changed?

It changes proportionately (A) Signup and view all the answers

What is the difference between a number scale and a bar scale?

A number scale shows a specific relationship between size, while a bar scale shows a specific relationship between measured length and actual distance (A) Signup and view all the answers

What type of calculation is required to determine the actual distance from a map measurement?

Multiplication by the scale factor (C) Signup and view all the answers

What is the purpose of a floor plan?

To show the layout of a building as seen from above (B) Signup and view all the answers

Why can't we determine exact distances on a map?

Because many factors can affect the accuracy of a distance calculation on a map (A) Signup and view all the answers

What is the formula to convert the map measurement to the actual distance?

Actual distance = Map measurement x Scale factor (A) Signup and view all the answers

What is the main difference between a number scale and a bar scale?

A number scale shows a specific relationship between size, while a bar scale shows a specific relationship between measured length and actual distance (C) Signup and view all the answers

What is the advantage of using a bar scale over a number scale?

A bar scale remains accurate even if the map is resized (A) Signup and view all the answers

What is the purpose of using a scale on a map?

To enable the user to estimate traveling distances accurately (A) Signup and view all the answers

What is the primary purpose of drawing 2D plans or nets?

To visualize the faces and edges of a 3D model (C) Signup and view all the answers

What is the key concept involved in assembling components?

Understanding instructions (A) Signup and view all the answers

What is the purpose of using mathematical tools and techniques in the assembly process?

To measure materials accurately (A) Signup and view all the answers

What is the outcome of correctly following the steps to assemble components?

A 3D model (D) Signup and view all the answers

What is the primary purpose of estimating the quantities of materials needed for the assembly?

To ensure that all materials are available (B) Signup and view all the answers

What is the purpose of regularly checking the assembled parts against the instructions or plans?

To make adjustments as needed (C) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (A) Signup and view all the answers

What is a characteristic of a probability value?

It is a prediction (B) Signup and view all the answers

What is the purpose of using a probability value?

To make a prediction (B) Signup and view all the answers

Why is it essential to follow the assembly steps in the correct sequence?

To ensure that components fit together properly (C) Signup and view all the answers

What is the purpose of using tree diagrams in compound events?

To list all possible outcomes and determine their probabilities. (B) Signup and view all the answers

What is the difference between a simple event and a compound event?

A simple event involves a single occurrence, while a compound event involves multiple trials. (D) Signup and view all the answers

What is the purpose of expressing probability values in different formats?

To understand the likelihood of an event occurring. (A) Signup and view all the answers

What is the primary goal of understanding the distinction between simple and compound events?

To accurately determine and interpret probability values. (B) Signup and view all the answers

What is the purpose of using two-way tables in compound events?

To make predictions and determine probability values. (A) Signup and view all the answers

What is a characteristic of a probability value?

It is a prediction of an event occurring. (A) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways an event can happen / total number of possible outcomes. (D) Signup and view all the answers

What is the purpose of using historical trends in probability predictions?

To predict future events based on past trends. (D) Signup and view all the answers

What is the primary advantage of using two-way tables in compound events?

They provide a clear comparison of two variables. (B) Signup and view all the answers

What is the difference between a probability value and a guarantee?

A probability value is a prediction, while a guarantee is a measurement. (A) Signup and view all the answers

What is the main purpose of a design drawing?

To show the design, layout, and components of an item to be constructed or manufactured (A) Signup and view all the answers

What is the key concept for working with plans that involves understanding compass directions?

Understand Compass Directions (D) Signup and view all the answers

What is the formula used to calculate the plan measure from an actual dimension?

Plan Measure = Actual Dimension ÷ Scale Factor (A) Signup and view all the answers

What is the primary purpose of the section on drawing scaled plans?

To facilitate the movement between 2D and 3D representations of objects (A) Signup and view all the answers

What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

Building 3D models from 2D plans/nets (D) Signup and view all the answers

What is the process involved in building 3D models from 2D plans/nets?

Cut out the 2D net from the provided plans, and fold along the indicated lines to form the edges and faces of the 3D object (C) Signup and view all the answers

What is the purpose of creating a 2D net of a 3D model?

To facilitate the movement between 2D and 3D representations of objects (B) Signup and view all the answers

What is the primary purpose of using a floor plan?

To show the internal layout of a building (D) Signup and view all the answers

What is the function of an elevation plan?

To show the external dimensions of a building (C) Signup and view all the answers

What is the key concept for working with plans that involves identifying various elements like rooms, windows, and doors on the plan?

Describe Features of a Building/Structure (C) Signup and view all the answers

What is the unit of measurement for surface area?

Square units (D) Signup and view all the answers

What is the formula for calculating the surface area of a rectangular box?

SA = 2lw + 2lh + 2wh (D) Signup and view all the answers

What is the purpose of converting between units when performing surface area and volume calculations?

To convert between different units of measurement (B) Signup and view all the answers

What is the formula for calculating the volume of a rectangular box?

V = lwh (D) Signup and view all the answers

What is the relationship between 1 cubic meter and 1 liter?

1 cubic meter is equal to 1000 liters (A) Signup and view all the answers

What is the purpose of using the formula V = πr²h when calculating the volume of a cylindrical container?

To calculate the volume of a cylindrical container (C) Signup and view all the answers

What is the conversion ratio between 1 cubic meter and 1 cubic centimeter?

1 cubic meter is equal to 1,000,000 cubic centimeters (C) Signup and view all the answers

What is the importance of understanding the concept of converting between units when performing surface area and volume calculations?

It is necessary for accurate calculations in real-world contexts (D) Signup and view all the answers

What is the formula for calculating the surface area of a cylinder with a lid and base?

SA = 2πr² + 2πrh (A) Signup and view all the answers

What is the purpose of recording measurements or estimations in surface area and volume calculations?

To ensure accuracy and reflect the appropriate level of precision (D) Signup and view all the answers

What is the formula to convert volume in grams to milliliters?

Volume (ml) = (Weight (g) / Conversion Factor) × Conversion Factor for Volume (B) Signup and view all the answers

How do you calculate the total liters of paint needed?

Paint Needed (liters) = Surface Area (m²) / Spread Rate (m²/liter) (D) Signup and view all the answers

What is the first step to convert time values from hours, minutes, and seconds to a single unit?

Convert hours to seconds (D) Signup and view all the answers

What is the purpose of a timetable?

To identify the week and dates of the events (A) Signup and view all the answers

What is the formula to convert the volume in cubic units to liters?

Volume (l) = Volume (m³) × 1,000 (B) Signup and view all the answers

What is the key concept when converting between complex units?

Convert units step-by-step (A) Signup and view all the answers

What is the purpose of double-checking your calculations?

To ensure accuracy (A) Signup and view all the answers

What is the formula to convert the volume in cubic centimeters to milliliters?

Volume (ml) = Volume (cm³) × 1 (D) Signup and view all the answers

What is the importance of understanding the context of the conversion?

It helps to identify the correct conversion factor (A) Signup and view all the answers

What is the purpose of converting minutes to seconds?

To understand stopwatch values and other time recordings (A) Signup and view all the answers

What is the purpose of converting time values from hours, minutes, and seconds to a single unit?

To make it easier to perform calculations (C) Signup and view all the answers

What is the formula to convert hours to seconds?

Seconds = Hours × 3600 (C) Signup and view all the answers

What is the primary advantage of using tree diagrams in compound events?

They help to list all possible outcomes and determine their probabilities. (A) Signup and view all the answers

What is the purpose of calculating time differences?

To determine the time elapsed between events accurately (D) Signup and view all the answers

What is the characteristic of a probability value?

It is a prediction of an event occurring. (B) Signup and view all the answers

What is the skill required to measure length, area, and volume?

Measuring techniques (D) Signup and view all the answers

What is the purpose of using two-way tables in compound events?

To make predictions about outcomes in situations involving multiple trials or occurrences. (A) Signup and view all the answers

What is the purpose of using benchmarks in estimation?

To make reasonable estimates of quantities when exact measurement is not possible (C) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (B) Signup and view all the answers

What is the step involved in measuring and estimating?

Identify the quantity to be measured or estimated, choose the appropriate tool or method, and perform the measurement or estimation (D) Signup and view all the answers

What is the purpose of expressing probability values in different formats?

To make it easier to compare and interpret probability values. (B) Signup and view all the answers

What is the purpose of using significant figures in measurement and calculation?

To reflect the precision of the data (C) Signup and view all the answers

What is an example of a compound event?

A car insurance rate prediction. (B) Signup and view all the answers

What is the purpose of error analysis in measurement?

To understand and account for potential errors in measurement, including human error and instrument error (B) Signup and view all the answers

What is the primary difference between simple and compound events?

Simple events involve a single occurrence or trial, while compound events involve more than one occurrence or trial. (A) Signup and view all the answers

What is the purpose of scaling in maps, diagrams, and models?

To represent real-life objects or distances (C) Signup and view all the answers

What is the characteristic of a constant ratio relationship?

The value increases at an increasing rate. (A) Signup and view all the answers

What is the purpose of using historical trends in probability predictions?

To make predictions about future events based on past trends. (B) Signup and view all the answers

What is the purpose of calculating the perimeter, area, and volume of various shapes and objects?

To apply formulas to calculate the perimeter, area, and volume of various shapes and objects (D) Signup and view all the answers

What is the outcome of not following the assembly steps in the correct sequence?

The assembled parts will be incorrect. (A) Signup and view all the answers

What is the characteristic of a graph that represents a step-function relationship?

A series of steps (C) Signup and view all the answers

What is the purpose of drawing graphs of unfamiliar situations?

To make sense of the situation and reveal patterns and trends (B) Signup and view all the answers

What is the characteristic of a constant ratio relationship?

A curved line that becomes steeper at an increasing rate (D) Signup and view all the answers

What is the purpose of a flat portion in a graph?

To represent a fixed fee that does not change with usage (A) Signup and view all the answers

What is the purpose of an increasing portion in a graph?

To represent additional charges that increase linearly with usage (C) Signup and view all the answers

What is the characteristic of a step-function relationship in terms of fees?

Different fees are charged for different time intervals, but within each interval, the same fee applies (D) Signup and view all the answers

What is the purpose of recognizing and understanding the implications of constant ratio relationships, combination relationships, and step-function relationships?

To help learners understand and analyze real-world situations (B) Signup and view all the answers

What is the characteristic of a combination of relationships in a graph?

A combination of different types of relationships within the same graph (A) Signup and view all the answers

What is the purpose of drawing and interpreting graphs?

To make sense of the situation and reveal patterns and trends (B) Signup and view all the answers

What is the skill required to analyze and interpret graphs?

Recognizing and understanding the implications of different types of relationships (C) Signup and view all the answers

What is the purpose of drawing graphs of unfamiliar situations?

To make sense of the situation and reveal patterns and trends (D) Signup and view all the answers

What is the name of the point where two graphs intersect?

Point of intersection (D) Signup and view all the answers

What is the process of trial and improvement used for?

To determine the values at which two relationships are equal (A) Signup and view all the answers

What is the importance of understanding intersection points?

To analyze and interpret data, make decisions, and understand how changes in one variable affect the outcome (C) Signup and view all the answers

What is the formula to convert weight from kilograms to pounds?

Weight (pounds) = Weight (kg) × 2.206 (B) Signup and view all the answers

What is the purpose of conversions between solid and liquid quantities?

Essential in various contexts such as baking and construction (C) Signup and view all the answers

What is the formula to convert temperature from Celsius to Fahrenheit?

°F = (1.8 × °C) + 32 (C) Signup and view all the answers

What is the name of the method used to determine the values at which two relationships are equal?

Trial and improvement method (C) Signup and view all the answers

What is the purpose of identifying the two graphs when estimating the point of intersection?

To ensure you understand what each graph represents (D) Signup and view all the answers

What is the result of correctly following the steps to estimate the point of intersection?

Finding the point where the two graphs intersect (B) Signup and view all the answers

What is the main purpose of using a national road map in South Africa?

To plan stopping points for accommodation, breaks, or refuelling (C) Signup and view all the answers

What is the formula to calculate the actual distance from a map measurement?

Actual distance = Map measurement × Scale factor (B) Signup and view all the answers

What is the primary skill required when using a street map to navigate a city?

Identifying locations using symbols (D) Signup and view all the answers

What is the main purpose of using a strip chart?

To determine more accurate traveling distances on specific sections of a route (C) Signup and view all the answers

What is the main advantage of using a scale on a map?

It allows for more accurate traveling distances (C) Signup and view all the answers

What is the formula to calculate the map measurement from an actual distance?

Map measurement = Actual distance / Scale factor (D) Signup and view all the answers

What is the main skill required when using a housing complex map?

Working with a map that shows a small area with limited detail (A) Signup and view all the answers

What is the primary purpose of using a scale on a map when a distance table or distance markers are not provided?

To estimate traveling distances (C) Signup and view all the answers

What is the purpose of a scale on a map?

To estimate traveling distances (D) Signup and view all the answers

What is the difference between a number scale and a bar scale?

A number scale shows a specific relationship in size, while a bar scale shows a measured length (C) Signup and view all the answers

What is the formula to convert an actual distance to a map measurement?

Map measurement = Actual distance ÷ Scale factor (B) Signup and view all the answers

What is the advantage of using a bar scale over a number scale?

A bar scale remains accurate even when the map is resized (C) Signup and view all the answers

What is the purpose of a floor plan?

To show a 2-dimensional perspective of a building or structure as seen from above (D) Signup and view all the answers

What is the formula to convert a map measurement to an actual distance?

Actual distance = Map measurement × Scale factor (B) Signup and view all the answers

What is the limitation of using a scale to estimate distances on a map?

It can only estimate distances, not determine them accurately (A) Signup and view all the answers

What is the purpose of Calculation Type 1?

To convert a map measurement to an actual distance (A) Signup and view all the answers

What happens to a number scale when a map is resized?

It becomes invalid (C) Signup and view all the answers

What is the primary purpose of understanding scales on a map?

To estimate traveling distances (C) Signup and view all the answers

What is the primary purpose of creating a 2D net of a 3D model?

To create a flat layout of the 3D model (D) Signup and view all the answers

What is the key skill required when using a map?

Navigating a city (B) Signup and view all the answers

What is the purpose of estimating the quantities of materials needed for the assembly?

To calculate the cost of materials (D) Signup and view all the answers

What is the importance of understanding instructions in the assembly process?

To identify all components and tools required (D) Signup and view all the answers

What is the key concept in probability that involves a single occurrence or trial?

Simple events (C) Signup and view all the answers

What is the purpose of regularly checking the assembled parts against the instructions or plans?

To ensure accuracy and make adjustments as needed (C) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (C) Signup and view all the answers

What is the primary purpose of using mathematical tools and techniques in the assembly process?

To measure materials accurately (D) Signup and view all the answers

What is the outcome of correctly following the steps to assemble components?

A complete and accurate assembly (B) Signup and view all the answers

What is the primary purpose of drawing 2D plans or nets?

To visualize the faces and edges of a 3D model (B) Signup and view all the answers

What is the primary purpose of a design drawing?

To see what a completed item will look like and the dimensions of its parts (D) Signup and view all the answers

What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

Building 3D models from 2D plans/nets (D) Signup and view all the answers

What is the function of an elevation plan?

Shows a 2-dimensional perspective of a building or structure as seen from the side (B) Signup and view all the answers

What is the primary purpose of creating a 2D net of a 3D model?

To facilitate the movement between 2D and 3D representations of objects (D) Signup and view all the answers

What is the formula used to calculate the plan measure from an actual dimension?

Plan Measure = Actual Dimension ÷ Scale Factor (C) Signup and view all the answers

What is the key concept that involves identifying various elements like rooms, windows, and doors on the plan?

Describe features of a building/structure (D) Signup and view all the answers

What is the primary purpose of the section on drawing scaled plans?

To facilitate the movement between 2D and 3D representations of objects (B) Signup and view all the answers

What is the process involved in building 3D models from 2D plans/nets?

Cut out the 2D net from the provided plans, fold along the indicated lines to form the edges and faces of the 3D object (D) Signup and view all the answers

What is the key skill required to build 3D models from 2D plans/nets?

Understanding 2D plans/nets (B) Signup and view all the answers

What is the primary purpose of understanding the distinction between simple and compound events?

Not mentioned in the content (C) Signup and view all the answers

What is the primary distinction between simple and compound events?

The complexity of the probability calculation (C) Signup and view all the answers

What is the purpose of using tree diagrams in compound events?

To list all possible outcomes and determine their probabilities (C) Signup and view all the answers

What is the characteristic of a probability value?

It is a prediction of the likelihood of the outcome (D) Signup and view all the answers

What is the purpose of expressing probability values in different formats?

To make the probability value easier to interpret (B) Signup and view all the answers

What is the primary goal of understanding simple and compound events?

To accurately determine and interpret probability values (D) Signup and view all the answers

What is the purpose of using two-way tables in compound events?

To compare two different variables and make predictions (C) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (C) Signup and view all the answers

What is the purpose of historical trends in probability predictions?

To predict the likelihood of a future event based on past trends (B) Signup and view all the answers

What is the primary difference between a probability value and a guarantee?

A probability value is a prediction, while a guarantee is a certainty (C) Signup and view all the answers

What is the primary advantage of using two-way tables in compound events?

They are useful for determining probability values and making predictions (A) Signup and view all the answers

What is the characteristic of a step-function relationship?

A graph that looks like a series of steps. (D) Signup and view all the answers

What is the purpose of drawing graphs of unfamiliar situations?

To make sense of the situation and reveal patterns and trends. (D) Signup and view all the answers

What is an example of a combination of relationships in a graph?

A cell phone contract with a fixed monthly subscription fee and additional charges for call minutes. (D) Signup and view all the answers

What is the characteristic of a constant ratio relationship?

A graph that becomes steeper at an increasing rate. (A) Signup and view all the answers

What does the increasing portion of a graph represent?

Additional charges that increase linearly with usage. (C) Signup and view all the answers

What is the purpose of recognizing and understanding the implications of different relationships in graphs?

To be able to interpret and analyze the meaning of different portions of a graph in the context of real-world situations. (A) Signup and view all the answers

What does the flat portion of a graph represent?

A fixed fee that does not change with usage. (C) Signup and view all the answers

What is the characteristic of a step-function relationship in a graph?

A graph that looks like a series of steps. (A) Signup and view all the answers

What is the importance of being able to draw and interpret graphs for any situation?

To be able to make sense of unfamiliar situations and reveal patterns and trends. (A) Signup and view all the answers

What is the result of a constant ratio relationship in a graph?

A graph that becomes steeper at an increasing rate. (C) Signup and view all the answers

What is the key difference between simple and compound events in probability?

Simple events involve a single occurrence, while compound events involve more than one occurrence. (C) Signup and view all the answers

What is the purpose of using tree diagrams in compound events?

To map out all possible outcomes of events and determine their probabilities (C) Signup and view all the answers

What is the characteristic of a constant ratio relationship?

The value is increasing at an increasing rate (B) Signup and view all the answers

What is the purpose of expressing probability values in different formats?

To make the values easier to compare and interpret (D) Signup and view all the answers

What is the key concept in understanding uncertainty in prediction?

Probability values predict the likelihood of events, but do not guarantee outcomes (A) Signup and view all the answers

What is the purpose of using two-way tables in compound events?

To determine probability values and make predictions (B) Signup and view all the answers

What is the formula for calculating the probability of a simple event?

P(event) = number of ways in which an event can happen / total number of possible outcomes (B) Signup and view all the answers

What is the purpose of using historical trends in probability predictions?

To determine the probability of an event based on past data (D) Signup and view all the answers

What is the key concept in understanding simple events?

Simple events involve a single occurrence (C) Signup and view all the answers

What is the characteristic of a probability value?

It is a prediction of the likelihood of an event (D) Signup and view all the answers

What is the total area of all the surfaces of a 3-dimensional object known as?

Surface area (A) Signup and view all the answers

What is the formula for the surface area of a rectangular box?

SA = 2lw + 2lh + 2wh (A) Signup and view all the answers

What is the unit of measurement for volume?

Cubic units (A) Signup and view all the answers

What is the conversion ratio between cubic meters and liters?

1 m^3 = 1000 l (B) Signup and view all the answers

What is the correct way to convert 1 m^3 to cubic centimeters?

1 m^3 = 1,000,000 cm^3 (C) Signup and view all the answers

Why is it necessary to convert between units when performing surface area and volume calculations?

Because the measurements are often in different units (B) Signup and view all the answers

What is the formula for the volume of a rectangular box?

V = lwh (D) Signup and view all the answers

What is the formula for the surface area of a cylinder with a lid and base?

SA = 2πr^2 + 2πrh (D) Signup and view all the answers

What is the conversion ratio between cubic centimeters and milliliters?

1 cm^3 = 1 ml (B) Signup and view all the answers

Why is it important to understand the conversion between units when working with surface area and volume?

Because it's necessary to get accurate results (D) Signup and view all the answers

What is the point of intersection in the context of comparing the cost of electricity on different systems?

The point where the cost of electricity is the same on both systems (A) Signup and view all the answers

What is the purpose of using the trial and improvement method?

To determine the values at which two relationships are equal (A) Signup and view all the answers

What is the importance of understanding intersection points?

To identify where different systems or scenarios yield the same results (D) Signup and view all the answers

What is the conversion factor used to convert weight from kilograms to pounds?

2.206 (C) Signup and view all the answers

What is the formula to convert temperature from Celsius to Fahrenheit?

°F = (1.8 × °C) + 32 (C) Signup and view all the answers

What is the importance of converting between solid and liquid quantities?

It is essential in cooking and baking (A) Signup and view all the answers

What is the purpose of drawing graphs of unfamiliar situations?

To make sense of the situation and reveal patterns and trends (D) Signup and view all the answers

What is the characteristic of non-joined segments?

Moving from one interval to another results in a completely different fee (A) Signup and view all the answers

What is the purpose of understanding the point of intersection in the context of comparing different systems or scenarios?

To identify where different systems or scenarios yield the same results (A) Signup and view all the answers

What is the importance of identifying the two graphs when estimating the point of intersection?

It ensures that you understand what each graph represents (A) Signup and view all the answers

What is the purpose of the plan 'Check the Venue' in event planning?

To find out where the event is taking place (B) Signup and view all the answers

What is the formula to convert minutes to hours?

Hours = Minutes / 60 (B) Signup and view all the answers

What is the purpose of measuring time using clocks and stopwatches?

To measure time in seconds, minutes, and hours (A) Signup and view all the answers

What is the purpose of estimation techniques in measurement?

To make reasonable estimates of quantities when exact measurement is not possible (D) Signup and view all the answers

What is the primary purpose of using scaling in maps, diagrams, and models?

To represent real-life objects or distances (D) Signup and view all the answers

What is the purpose of using significant figures in measurement and calculation?

To reflect the precision of the data (C) Signup and view all the answers

What is the first step in measuring and estimating?

Identify the quantity to be measured or estimated (A) Signup and view all the answers

What is the purpose of using benchmarks in estimation techniques?

To use known reference points to make estimations more accurate (C) Signup and view all the answers

What is the purpose of using thermometers to measure temperature?

To measure temperature in degrees Celsius or Fahrenheit (D) Signup and view all the answers

What is the purpose of converting between different units of measurement within the same system?

To convert between different units of measurement (A) Signup and view all the answers

What is the conversion factor used to convert cubic meters to liters?

1000 (B) Signup and view all the answers

What is the formula to calculate the total liters of paint needed based on the surface area and the spread rate of the paint?

Paint Needed (liters) = Surface Area (m²) / Spread Rate (m²/liter) (C) Signup and view all the answers

What is the step to convert minutes to seconds?

Multiply the number of minutes by 60 (C) Signup and view all the answers

What is the formula to convert hours to seconds?

Seconds = Hours × 3600 (B) Signup and view all the answers

What is the step to calculate the total hours from hours, minutes, and seconds?

Convert hours and minutes to seconds, then add them together (B) Signup and view all the answers

What is the purpose of breaking down the time values into hours, minutes, and seconds when calculating time differences?

To make the calculation more accurate (D) Signup and view all the answers

What is the primary purpose of using a timetable?

To schedule events (C) Signup and view all the answers

What is the key concept when working with timetables?

Identifying the week and dates of the events (C) Signup and view all the answers

What is the purpose of converting grams to milliliters?

To determine the volume of a substance (A) Signup and view all the answers

What is the importance of using the correct conversion factor when performing conversions?

It ensures accuracy in the conversion (C) Signup and view all the answers

Gr 11 Math Lit: November Medium P(2)

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Questions and Answers

What is the main purpose of using a national road map in South Africa?

What is the main advantage of using a strip chart when planning a road trip?

What skill is required when using a street map to navigate a city?

What is the formula for calculating the actual distance from a map measurement?

What is the purpose of using the scale on a map?

What type of map is used to show the positions of houses within a small housing complex?

What is the main skill required when using a housing complex map?

What is the second type of scale calculation required in map work?

What is the formula to convert the actual distance to the map measurement?

What is the main difference between a number scale and a bar scale?

What is the purpose of a floor plan?

What happens to a number scale when a map is resized?

What is the formula to convert the map measurement to the actual distance?

Why is it only possible to estimate distances on a map using a scale and not to determine distances accurately?

What is the relationship between the size of the area on the map and the actual size of that area in a number scale?

What is the advantage of using a bar scale over a number scale?

What is the purpose of a scale on a map?

What is the difference between Calculation Type 1 and Calculation Type 2?

What is the primary difference between simple and compound events?

What is the purpose of a tree diagram in compound events?

What is the formula for calculating the probability of a simple event?

What is the purpose of using historical trends in probability predictions?

What is the primary advantage of using two-way tables in compound events?

What is the difference between a probability value and a guarantee?

What is the purpose of expressing probability values in different formats?

What is the primary goal of drawing 2D plans or nets?

What is an example of a simple event?

What is the importance of understanding instructions in the assembly process?

What is the primary purpose of understanding the distinction between simple and compound events?

What is the purpose of measuring materials accurately in the assembly process?

What is a characteristic of a probability value?

What is the formula for calculating the probability of a simple event?

What is the definition of a simple event in probability?

Why is it essential to follow the assembly steps in the correct sequence?

What is the purpose of regularly checking the assembled parts against the instructions or plans?

What is the importance of using mathematical tools and techniques in the assembly process?

What is the purpose of estimating the quantities of materials needed for the assembly?

What is the outcome of correctly following the steps to assemble components?

What is the primary purpose of a floor plan?

What is the function of an elevation plan?

What is the purpose of a design drawing?

What is the key concept for working with plans that involves identifying various elements like rooms, windows, and doors on the plan?

What is the formula used to calculate the plan measure from an actual dimension?

What is the primary purpose of the section on drawing scaled plans?

What is the key skill required to build 3D models from 2D plans/nets?

What is the process involved in building 3D models from 2D plans/nets?

What is the purpose of creating a 2D net of a 3D model?

What is the key concept that involves understanding how to take a flat, 2D drawing and fold it to create a 3D object?

What is the characteristic of a constant ratio relationship?

What is the purpose of drawing graphs of unfamiliar situations?

What is the name of the relationship characterized by a graph that looks like a series of steps?

What is the name of the portion of the graph that represents a fixed fee that does not change with usage?

What is the name of the relationship that occurs when a value is increased by a factor, and then this new increased value is again increased by the factor or percentage?

What is the benefit of recognizing and understanding the implications of constant ratio relationships, combination relationships, and step-function relationships?

What is the characteristic of a step-function relationship?

What is the name of the portion of the graph that represents additional charges that increase linearly with usage?

What is the benefit of drawing graphs of real-world situations:

What is the characteristic of a combination of relationships?

What is the key difference between simple and compound events?

What is the formula for calculating the probability of a simple event?

What is the purpose of a tree diagram in compound events?

What is the purpose of drawing graphs of unfamiliar situations?

What is the characteristic of a constant ratio relationship?

What do you read from the horizontal axis at the point of intersection?

What is the trial and improvement method used for?

What is the main difference between a simple event and a compound event?

What can be understood by analyzing the intersection points and the regions around them?

What is the purpose of a two-way table in compound events?

What is the significance of a probability value?

What is the conversion factor to convert weight from kilograms to pounds?

What is an example of a compound event?

What is the formula to convert temperature from Celsius to Fahrenheit?

Why are conversions between solid and liquid quantities essential?

What is a characteristic of a graph that represents a combination of relationships?

What is the result of estimating the point of intersection from a graph?

Why is it important to understand that probability values are predictions, not guarantees?