Gr 11 Math Lit: November Hard P(2)

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What is the main purpose of a national road map?

To provide detailed information on traffic rules and regulations

To show major routes, roads, and distances between major cities and towns (correct)

To display the positions and names of streets and other locations within a city

To show the locations of towns, other roads, and points of interest on a specific route

What is the primary use of a strip chart?

To estimate traveling costs and times on a street map

To plan stopping points for accommodation, breaks, or refuelling on a national road trip

To determine more accurate traveling distances on specific sections of a route (correct)

To identify locations using symbols on a city map

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

Actual distance = Map measurement - Scale factor

Actual distance = Map measurement + Scale factor

Actual distance = Map measurement ÷ Scale factor

Actual distance = Map measurement × Scale factor (correct)

What is the purpose of a housing complex map?

To work with a map that shows a small area with limited detail Signup and view all the answers

What is the main skill required when using a street map?

Identifying locations using symbols Signup and view all the answers

What is the purpose of a distance table?

To determine distances between major cities and towns Signup and view all the answers

What type of calculation is required when a distance table or distance markers are not provided on a map?

Calculation Type 1: Map Measurement to Actual Distance Signup and view all the answers

What is the primary use of a scale on a map?

To convert map measurements to actual distances 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 Signup and view all the answers

What type of scale is expressed in the format 1:50,000?

Number scale Signup and view all the answers

What is the purpose of a floor plan?

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

If a map has a scale of 1:50,000, how many times smaller is the map compared to the actual size?

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

Bar scales remain accurate even when the map is resized 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 Signup and view all the answers

What type of scale shows the relationship between a measured length and an actual distance?

Bar scale Signup and view all the answers

Why can't you determine distances accurately on a map using a scale?

Because many factors can affect the accuracy of a distance calculation Signup and view all the answers

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

The number scale becomes inaccurate Signup and view all the answers

What is the purpose of a scale on a map?

To allow users to estimate traveling distances accurately Signup and view all the answers

What is the primary purpose of an elevation plan?

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

What is the purpose of a design drawing?

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

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

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

What is the purpose of a floor plan?

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

What is a key concept for working with plans?

Describing features of a building or structure Signup and view all the answers

What is a key concept for design drawings?

Describing the item or object shown on the design plan Signup and view all the answers

What is the purpose of building 3D models from 2D plans/nets?

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

What is the primary purpose of the models section?

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

What is a key skill for Grade 11 learners in the models section?

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

What is the process of moving from a 2D drawing to constructing a 3D object?

Building 3D models Signup and view all the answers

Which of the following formats is the original form resulting from the calculation of a probability value?

Fraction Format 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 probability values Signup and view all the answers

What is the key concept in understanding probability values?

The probability value is a prediction, not a guarantee Signup and view all the answers

Which of the following is an example of a simple event?

Weather forecasts Signup and view all the answers

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

To map out all possible outcomes of events Signup and view all the answers

Which of the following is a characteristic of a compound event?

Involves more than one occurrence or trial Signup and view all the answers

What is the result of multiplying a fraction by 100 in probability calculations?

Percentage format Signup and view all the answers

Which of the following is an example of a compound event?

Car insurance rates for different genders and age groups Signup and view all the answers

What is the purpose of observing historical trends in probability calculations?

To predict future events Signup and view all the answers

What is the formula to calculate the probability of a simple event?

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

What is a characteristic of a step-function relationship?

The graph has distinct steps indicating different fees for different time intervals. Signup and view all the answers

What type of relationship is represented by a graph that becomes steeper at an increasing rate?

Constant ratio relationship Signup and view all the answers

What is the purpose of drawing graphs in unfamiliar situations?

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

What is an example of a combination of relationships?

A cell phone contract with a fixed monthly subscription fee and additional charges for call minutes beyond a certain threshold Signup and view all the answers

What is the main difference between a step-function relationship and a constant ratio relationship?

The shape of the graph Signup and view all the answers

What is represented by the flat portion of a graph?

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

What is an example of a constant ratio relationship?

A household's food purchases that increase at a rate of 7.4% per year Signup and view all the answers

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

To make sense of real-world situations and reveal patterns and trends Signup and view all the answers

What is the purpose of drawing a graph for a situation with an unknown formula or pattern?

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

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

The graph has a flat portion representing a fixed fee and an increasing portion representing additional charges Signup and view all the answers

What is the primary purpose of identifying the point of intersection between two graphs?

To identify the point where the cost of electricity is the same Signup and view all the answers

What is the benefit of using the trial and improvement method to find the point of intersection?

It allows for estimation of the point of intersection Signup and view all the answers

What is the significance of understanding the intersection points and the regions around them?

It provides insights into where different systems or scenarios yield the same results Signup and view all the answers

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

2.206 Signup and view all the answers

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

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

What is the purpose of using conversion factors in measurements?

To ensure accurate conversions between units Signup and view all the answers

What is the benefit of drawing and interpreting graphs for unfamiliar situations?

It reveals patterns and trends that were not visible without the graph Signup and view all the answers

What is the term used to describe the point where two graphs intersect?

Point of intersection Signup and view all the answers

What is the purpose of using the method of trial and improvement to find the point of intersection?

To estimate the point of intersection Signup and view all the answers

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

It indicates where the cost of electricity on the two systems is the same Signup and view all the answers

What is the primary step in assembling a 3D model?

Understanding instructions and identifying all parts Signup and view all the answers

Which of the following is NOT a key concept in assembling components?

Calculating the probability of an event Signup and view all the answers

What is the primary limitation of probability values in prediction?

They do not guarantee outcomes. Signup and view all the answers

What is the purpose of measuring materials accurately?

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

What is the formula to calculate the probability of a simple event?

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

What is the primary difference between simple and compound events?

The complexity of the probability calculation. Signup and view all the answers

What is the purpose of a tree diagram in probability calculations?

To visualize the possible outcomes of a compound event. Signup and view all the answers

What is the primary purpose of estimating quantities and costs of materials?

To plan and budget for the assembly process Signup and view all the answers

What is the result of not following the assembly steps in sequence?

The components may not fit together properly Signup and view all the answers

What is the characteristic of a constant ratio relationship?

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

What is the advantage of using a two-way table in probability calculations?

It enables the conversion of actual values to percentage probability values. Signup and view all the answers

What is the final step in assembling a 3D model?

Completing the assembly and double-checking all parts 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. Signup and view all the answers

What is the primary application of probability values in advertisements?

To predict the likelihood of an event based on historical data. Signup and view all the answers

What is the formula to convert weight from grams to milliliters?

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

What is the purpose of using mathematical tools and techniques in assembling components?

To measure and cut materials accurately Signup and view all the answers

What is the relationship between the probability value and the number of possible outcomes?

The probability value decreases as the number of possible outcomes increases. Signup and view all the answers

What is the result of not measuring materials accurately?

The components may not fit together properly Signup and view all the answers

What is the first step in calculating the amount of paint needed?

Identify the surface area to be painted Signup and view all the answers

What is the purpose of breaking down the conversion process into smaller steps?

To ensure accuracy in the conversion Signup and view all the answers

What is the primary difference between a flat portion and an increasing portion in a graph?

The flat portion represents a fixed fee, while the increasing portion represents a variable rate. Signup and view all the answers

What is the formula to convert hours to seconds?

Seconds = Hours × 3600 Signup and view all the answers

What is the first step in calculating the difference between two time values?

Convert both times into a single unit Signup and view all the answers

What is the purpose of identifying the week and dates of the events on a timetable?

To identify the exact date and time of the event Signup and view all the answers

What is the formula to convert minutes to seconds?

Seconds = Minutes × 60 Signup and view all the answers

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

To ensure accuracy in the conversion Signup and view all the answers

What is the formula to convert liters to milliliters?

Milliliters = Liters × 1000 Signup and view all the answers

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

To ensure accuracy in the conversion Signup and view all the answers

What is the primary purpose of understanding time conversions?

To plan and organize activities effectively Signup and view all the answers

What is the formula to convert minutes to hours?

Hours = Minutes / 60 Signup and view all the answers

What is the primary purpose of calculating time differences?

To find the time elapsed between events accurately Signup and view all the answers

What is the formula to convert hours to seconds?

Seconds = Hours * 3600 Signup and view all the answers

What is the primary purpose of using timetables?

To extract key information to plan and organize activities effectively Signup and view all the answers

What is the formula to convert seconds to hours?

Hours = Seconds / 3600 Signup and view all the answers

What is the primary purpose of understanding units of measurement?

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

What is the primary purpose of measuring techniques?

To use appropriate tools to measure length, area, and volume Signup and view all the answers

What is the primary purpose of estimation techniques?

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

What is the primary purpose of accuracy and precision?

To use significant figures correctly in measurement and calculation Signup and view all the answers

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

62 cm^2 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 cm^3 Signup and view all the answers

If a paint can covers 5 m^2 of surface area, how many litres of paint are needed to cover a wall with a surface area of 20 m^2?

80 litres Signup and view all the answers

What is the conversion factor to convert cubic centimetres to millilitres?

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

If a rectangular box has a length of 10 cm, width of 5 cm, and height of 2 cm, what is the volume of the box in cubic millimetres?

100000 mm^3 Signup and view all the answers

What is the surface area of a cylinder with a radius of 3 cm and a height of 6 cm?

90π cm^2 Signup and view all the answers

If a cylindrical container has a volume of 200 cm^3, what is the height of the container if the radius of the base is 2 cm?

5 cm Signup and view all the answers

What is the conversion factor to convert cubic metres to litres?

1 m^3 = 1000 litres Signup and view all the answers

If a rectangular box has a surface area of 120 cm^2, what is the length of the box if the width is 4 cm and the height is 2 cm?

6 cm Signup and view all the answers

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

72000 mm^3 Signup and view all the answers

What is the primary advantage of using a national road map over a strip chart?

It allows for the estimation of traveling costs and times over long distances. Signup and view all the answers

When using a street map, what is the most effective way to identify a specific location?

Using a grid reference system with the street index. Signup and view all the answers

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

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

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

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

What is the correct formula for converting a map measurement to an actual distance?

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

When using a strip chart, what is the primary benefit of using distance markers and indicators?

It provides more accurate traveling distances on specific sections of a route. Signup and view all the answers

What is the primary advantage of using a scale on a map over a distance table?

It can be used when a distance table or distance markers are not provided. Signup and view all the answers

What is the primary purpose of using a street map over a national road map?

It provides more detailed information about a specific city or town. Signup and view all the answers

What is the main purpose of a floor plan?

To show the interior layout and dimensions of a building Signup and view all the answers

What is the function of an elevation plan?

To show the exterior design of a building Signup and view all the answers

What is the purpose of a design drawing?

To show the design and dimensions of an item to be constructed or manufactured Signup and view all the answers

What is the key concept for working with plans?

All of the above Signup and view all the answers

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

Plan Measure = Actual Dimension / Scale Factor Signup and view all the answers

What is the primary purpose of the models section?

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

What is a key skill for Grade 11 learners in the models section?

All of the above Signup and view all the answers

What is the process of moving from a 2D drawing to constructing a 3D object?

Cutting out the 2D net and folding along the indicated lines Signup and view all the answers

What is a 2D net?

A flat layout that, when folded along specific lines, forms a 3D object Signup and view all the answers

What is the main purpose of building 3D models from 2D plans/nets?

To construct a 3D object from a 2D net Signup and view all the answers

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

To understand historical trends and make informed decisions Signup and view all the answers

Which of the following representations is used to list all possible outcomes of events and determine their probabilities?

Tree diagrams Signup and view all the answers

What is the result of multiplying a decimal format probability value by 100?

Percentage format Signup and view all the answers

What is the key concept in understanding probability values?

That they predict the likelihood of an event occurring Signup and view all the answers

Which of the following is an example of a compound event?

Rolling a die twice Signup and view all the answers

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

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

What is the primary purpose of drawing a 2D plan/net of a 3D model?

To visualize the model's faces and edges Signup and view all the answers

What is the formula to calculate the probability of a simple event?

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

Which of the following skills is essential when interpreting instructions for assembly?

Understanding the instructions and identifying all components and tools required Signup and view all the answers

What is the purpose of observing historical trends in probability calculations?

To understand the past patterns and make informed decisions Signup and view all the answers

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

To ensure accuracy and make adjustments as necessary Signup and view all the answers

Which of the following is a characteristic of a compound event?

Involves more than one occurrence or trial Signup and view all the answers

What is the formula used to calculate the probability of a simple event?

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

What is the primary use of tree diagrams in compound events?

To list all possible outcomes of events and determine their probabilities Signup and view all the answers

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

To measure and cut materials accurately 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 necessary materials are available before starting the assembly Signup and view all the answers

What is the primary purpose of following the assembly steps in the correct sequence?

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

What is the primary purpose of calculating the total time needed for the entire assembly?

To plan and schedule the assembly process effectively Signup and view all the answers

What is the primary purpose of using probability values in real-life situations?

To predict the likelihood of an event occurring Signup and view all the answers

What is the primary purpose of assembling the components in the correct sequence?

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

What is the primary reason why distances calculated on a map using a scale are only estimates and not exact?

Many factors affect the accuracy of the distance calculation Signup and view all the answers

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

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

What is the formula to convert a map measurement to an actual distance if the scale is 1:50,000?

Actual distance = Map measurement × 50,000 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, without the roof 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 according to a number scale of 1:50,000?

The map is 50,000 times smaller than the actual size Signup and view all the answers

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

To estimate the distance between two points when a distance table or distance markers are not provided Signup and view all the answers

What is the formula to convert an actual distance to a map measurement if the scale is 1:50,000?

Map measurement = Actual distance ÷ 50,000 Signup and view all the answers

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

A bar scale shows the relationship between measured length and actual distance Signup and view all the answers

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

The number scale becomes invalid Signup and view all the answers

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

To estimate the distance between two points when a distance table or distance markers are not provided Signup and view all the answers

What is a common way to express probability values in simple events?

In fraction, decimal, or percentage formats Signup and view all the answers

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

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

What is a characteristic of a compound event?

It involves more than one occurrence or trial Signup and view all the answers

What is the result of multiplying a probability value in fraction format by 100?

A percentage value Signup and view all the answers

What is the purpose of observing historical trends in probability calculations?

To predict the likelihood of future events Signup and view all the answers

What is a characteristic of a graph that represents a constant ratio relationship?

It becomes steeper at an increasing rate Signup and view all the answers

What is the purpose of drawing graphs in unfamiliar situations?

To identify the type of relationship Signup and view all the answers

What is an example of a combination of relationships?

A graph that represents a constant ratio relationship and a flat portion Signup and view all the answers

What is the main difference between a step-function relationship and a constant ratio relationship?

A step-function relationship has a flat portion, while a constant ratio relationship does not Signup and view all the answers

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

It helps in making predictions and informed decisions Signup and view all the answers

What is the purpose of converting hours to seconds in a time conversion?

To determine the time elapsed between events Signup and view all the answers

Which of the following formulas is used to convert minutes to seconds?

Seconds = Minutes × 60 Signup and view all the answers

What is the purpose of measuring time in seconds?

To determine the time elapsed between events Signup and view all the answers

Which of the following is a key concept in measuring time?

Understanding units of measurement Signup and view all the answers

What is the purpose of using a stopwatch?

To measure time in seconds Signup and view all the answers

Which of the following is a practical application of measuring time?

Extracting key information from timetables Signup and view all the answers

What is the purpose of calculating the difference in time between two events?

To determine the time elapsed between events Signup and view all the answers

Which of the following is a key concept in understanding time conversions?

Understanding standard units of measurement Signup and view all the answers

What is the purpose of converting seconds to hours?

To understand time conversions Signup and view all the answers

Which of the following is a practical application of time conversions?

Interpreting stopwatch values and other time recordings Signup and view all the answers

What is the main purpose of drawing graphs for unfamiliar situations?

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

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

It has multiple points of intersection Signup and view all the answers

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

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

What is the importance of understanding intersection points?

It provides insights into where different systems or scenarios yield the same results 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 Signup and view all the answers

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

To make conversions in various contexts such as baking and construction Signup and view all the answers

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

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

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

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

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

It helps to determine the values at which two relationships are equal Signup and view all the answers

What is represented by the values read from the horizontal and vertical axes at the point of intersection?

The quantity or unit and the corresponding amount Signup and view all the answers

What is the characteristic of a graph that represents a constant ratio relationship?

The graph becomes steeper at an increasing rate Signup and view all the answers

What is the purpose of drawing graphs in unfamiliar situations?

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

What is an example of a combination of relationships?

The cost of making calls on a particular cell phone contract Signup and view all the answers

What is the main difference between a step-function relationship and a constant ratio relationship?

The type of relationship represented Signup and view all the answers

What is represented by the increasing portion of a graph?

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

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

To apply the skills and competencies to real-world situations Signup and view all the answers

What is the characteristic of a step-function relationship?

The graph looks like a series of steps Signup and view all the answers

What is the importance of drawing graphs for situations with unknown formulas or patterns?

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

What is an example of a constant ratio relationship?

The monthly cost of food purchases in a household increasing at a rate of 7.4% per year Signup and view all the answers

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

To make sense of unfamiliar situations and reveal patterns and trends Signup and view all the answers

What is the formula to calculate the surface area of a rectangular box?

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

What is the formula to calculate the volume of a cylindrical container?

V = πr^2h Signup and view all the answers

What is the conversion ratio between cubic meters and liters?

1 m^3 = 1000 L Signup and view all the answers

What is the unit of measurement for surface area?

Square units Signup and view all the answers

What is the process of converting from square units to liters called?

Conversion of units Signup and view all the answers

What is the formula to calculate the volume of a rectangular box?

V = lwh Signup and view all the answers

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

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

What is the unit of measurement for volume?

Cubic units Signup and view all the answers

What is the conversion ratio between cubic centimeters and milliliters?

1 cm^3 = 1 mL Signup and view all the answers

What is the formula to calculate the total liters of paint needed?

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

What is the step to convert time recording values to a single unit?

Multiply the number of minutes by 60 to get seconds Signup and view all the answers

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

To find the difference between two time values Signup and view all the answers

Why is it important to understand the conversion ratios between different units of measurement?

To ensure accuracy in calculations Signup and view all the answers

What is the formula to convert minutes to seconds?

Seconds = Minutes × 60 Signup and view all the answers

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

Multiply the hours by 3600 and add the minutes and seconds Signup and view all the answers

What is the purpose of identifying the week and dates of the events when using a timetable?

To locate the specific week in which the event is scheduled Signup and view all the answers

What is the formula to convert hours to seconds?

Seconds = Hours × 3600 Signup and view all the answers

What is the step to calculate the difference between two time values?

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

What is the purpose of using a conversion factor when performing conversions?

To ensure accuracy Signup and view all the answers

What is the primary purpose of understanding instructions in the assembly process?

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

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

To ensure accurate measurement and cutting of materials Signup and view all the answers

What is the primary purpose of estimating quantities and costs in the assembly process?

To calculate the total cost of materials Signup and view all the answers

What is the main benefit of following the sequence of assembly steps?

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

What is the primary skill required when using a national road map to plan a trip?

Deciding on the most appropriate route Signup and view all the answers

What is the primary purpose of checking and adjusting during the assembly process?

To correct any mistakes or misalignments Signup and view all the answers

A strip chart is used to determine the distance between two towns on a specific route. If the distance measured on the chart is 5 cm, and the scale is 1:500,000, what is the actual distance?

25 km Signup and view all the answers

When using a street map, what is the primary purpose of a grid reference system?

To find specific streets using the street index Signup and view all the answers

What is the formula to calculate the probability of a simple event?

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

What is the characteristic of a simple event in probability?

It involves a single occurrence or trial Signup and view all the answers

A housing complex map shows the positions of houses within a small area. What is the primary skill required when working with this type of map?

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

What is the primary purpose of using mathematical tools and techniques in design drawings?

To ensure accuracy and precision in design drawings Signup and view all the answers

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

To convert map measurements to actual distances Signup and view all the answers

A map has a scale of 1:100,000. If the distance between two towns on the map is 8 cm, what is the actual distance?

80 km Signup and view all the answers

What is the primary purpose of creating 3D models from 2D plans/nets?

To visualize and understand the structure of the design Signup and view all the answers

What is the primary purpose of using probability values in everyday life?

To make predictions about the likelihood of an event occurring Signup and view all the answers

What is the primary purpose of a distance table on a map?

To provide accurate distances between locations Signup and view all the answers

What is the primary difference between Calculation Type 1 and Calculation Type 2 when using a scale on a map?

The direction of the calculation Signup and view all the answers

What is the primary purpose of an elevation plan?

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

What is the key concept in working with plans that involves understanding terms like North, South, East, and West Elevation?

Understand compass directions Signup and view all the answers

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

A number scale is a ratio of the map distance to the actual distance, while a bar scale is a visual representation of the ratio. Signup and view all the answers

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

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

If a map has a scale of 1:50,000, what is the relationship between the map measurement and the actual distance?

The map measurement is 50,000 times smaller than the actual distance. Signup and view all the answers

What is the primary purpose of building 3D models from 2D plans/nets?

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

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

To estimate the distance between two points on the map when a distance table or distance markers are not provided. Signup and view all the answers

What is the primary reason for using tree diagrams in compound events?

To visualize and determine all possible outcomes of events Signup and view all the answers

What is the result of multiplying a probability fraction by 100?

The percentage format of the probability value Signup and view all the answers

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

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

What is the key concept for design drawings that involves identifying the dimensions of the different components shown on the design plan?

Identify the dimensions of the different components shown on the design plan Signup and view all the answers

What is the process of moving from a 3D model to creating 2D drawings/nets/plans of the model?

Drawing 2D plans/nets of 3D models Signup and view all the answers

What is a characteristic of a compound event?

It involves more than one occurrence or trial Signup and view all the answers

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

Because there are many factors that affect the accuracy of the distance calculation. Signup and view all the answers

What is the purpose of observing historical trends in probability calculations?

To determine the probability value of a future event Signup and view all the answers

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

The number scale becomes invalid and a new number scale must be determined. Signup and view all the answers

What is the key skill for Grade 11 learners in the models section?

All of the above Signup and view all the answers

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

To determine the probability value of an event and make predictions 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 size of the map is changed. Signup and view all the answers

What is the primary purpose of the models section?

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

What is the key concept in understanding probability values?

That they are predictions, not guarantees 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, without the roof. 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 or structure Signup and view all the answers

What type of calculation is required when a distance table or distance markers are not provided on a map?

An estimation using a scale. Signup and view all the answers

What is the key concept for design drawings that involves describing the different component parts required to make the item or object?

Describe the different component parts required to make the item or object Signup and view all the answers

Which of the following is an example of a compound event?

A car insurance rate prediction 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 Signup and view all the answers

What is the formula to calculate the probability of a simple event?

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

What is the purpose of using decimals in probability calculations?

To derive a probability value from a fraction Signup and view all the answers

Which of the following formats is the original form resulting from the calculation of a probability value?

Fraction format Signup and view all the answers

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

To understand the uncertainty involved in predicting the likelihood of events Signup and view all the answers

Which of the following is a characteristic of a compound event?

Involves multiple possible outcomes Signup and view all the answers

What is the result of converting a fraction to a percentage in probability calculations?

The probability value is multiplied by 100 Signup and view all the answers

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

To predict the likelihood of future events based on past trends Signup and view all the answers

What is the characteristic of a graph that represents a constant ratio relationship?

The graph becomes steeper at an increasing rate Signup and view all the answers

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

To visualize the possible outcomes of an event Signup and view all the answers

What is the key concept in understanding probability values?

Probability values predict the likelihood of an event, but do not guarantee the outcome Signup and view all the answers

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

To determine the probability values of multiple variables Signup and view all the answers

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

The graph has multiple sections with different trends Signup and view all the answers

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

It helps to make accurate predictions and informed decisions Signup and view all the answers

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

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

What is the correct step to calculate the total liters of paint needed?

Divide the surface area by the spread rate of the paint Signup and view all the answers

What is the purpose of breaking down the conversion process into smaller steps?

To ensure accuracy and avoid mistakes Signup and view all the answers

What is the correct formula to convert time recording values from hours to seconds?

Seconds = Hours × 3600 Signup and view all the answers

What is the purpose of identifying the week and dates of the events in a timetable?

To locate the specific week in which the event is scheduled Signup and view all the answers

What is the correct formula to calculate the total hours from time recording values?

Total Hours = Hours + (Minutes ÷ 60) + (Seconds ÷ 3600) Signup and view all the answers

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

To ensure accuracy and avoid mistakes Signup and view all the answers

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

To plan the activities of the event Signup and view all the answers

What is the correct formula to convert from milliliters to liters?

Liters = Milliliters ÷ 1000 Signup and view all the answers

Which formula is used to convert hours to seconds?

Seconds = Hours × 3600 Signup and view all the answers

What is the purpose of converting to a single unit when calculating time differences?

To ensure accuracy in the calculation Signup and view all the answers

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

To use the right units and conversion factors Signup and view all the answers

What is the correct formula to calculate the difference between two time values?

Time Difference = Larger Time Value - Smaller Time Value Signup and view all the answers

What is the primary purpose of using a stopwatch in practical applications?

To measure time accurately Signup and view all the answers

Which of the following is an example of a measurement technique?

Using a thermometer to measure temperature 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 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 Signup and view all the answers

Which of the following is an example of estimation technique?

Rounding numbers to a specified degree of accuracy Signup and view all the answers

What is the primary purpose of using benchmarks in estimation techniques?

To make the estimation more accurate 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 in real-life contexts Signup and view all the answers

What is the main difference between a step-function relationship and a constant ratio relationship in terms of the calculation of the new value?

In a step-function relationship, the new value is calculated based on the previous value, whereas in a constant ratio relationship, the new value is calculated based on the initial value. Signup and view all the answers

What is the unit of measurement for the surface area of a rectangular box?

square units Signup and view all the answers

What is the primary purpose of drawing graphs for unfamiliar situations?

To make sense of the situation and reveal patterns and trends that were not visible without the graph. Signup and view all the answers

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

It has different portions representing different relationships. Signup and view all the answers

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

V = πr²h Signup and view all the answers

If 1m³ = 1000L, how many litres are in 2m³?

2000L Signup and view all the answers

What is an example of a constant ratio relationship?

The monthly cost of food purchases in a household increasing at a rate of 7.4% per year. Signup and view all the answers

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

It helps in making predictions and forecasts in real-world applications. Signup and view all the answers

What is the conversion ratio between cubic centimetres and millilitres?

1cm³ = 1ml Signup and view all the answers

What is represented by the flat portion of a graph?

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

If a surface area is calculated to be 100cm², what is the equivalent area in square millimetres?

10000mm² Signup and view all the answers

What is the primary purpose of identifying the different portions of a graph?

To analyze the meaning of different portions of a graph in the context of real-world situations. Signup and view all the answers

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

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

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

It has a series of steps. Signup and view all the answers

If a volume is calculated to be 1000cm³, what is the equivalent volume in litres?

1L Signup and view all the answers

What is the purpose of drawing graphs for situations with unknown formulas or patterns?

To make sense of the situation and reveal patterns and trends that were not visible without the graph. Signup and view all the answers

What is the importance of converting between units when working with surface area and volume?

To make calculations more practical and applicable to real-world situations Signup and view all the answers

What is the difference between the formula for calculating the surface area of a rectangular box and the formula for calculating the volume of a rectangular box?

The surface area formula has more terms Signup and view all the answers

What is an example of a combination of relationships?

The cost of making calls on a cell phone contract with a fixed subscription fee and additional charges for call minutes. Signup and view all the answers

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

To solve problems in real-world contexts Signup and view all the answers

What is the main difference between a non-joined segment and a joined segment in a graph?

A non-joined segment is discontinuous, whereas a joined segment is continuous. Signup and view all the answers

What is the primary purpose of drawing a graph for a situation with an unknown formula or pattern?

To make sense of the situation and reveal patterns and trends that were not visible without the graph. Signup and view all the answers

What is represented by the point of intersection between two graphs?

The point where the two graphs intersect, and the values are exactly equal. Signup and view all the answers

What is the purpose of using the trial and improvement method to determine the point of intersection?

To use their equations and the process of trial and improvement to find the values at which two relationships are equal. Signup and view all the answers

What is the importance of understanding the point of intersection and the regions around it?

It provides insights into where different systems or scenarios yield the same results. Signup and view all the answers

What is the purpose of converting between different units of measurement?

To ensure accurate conversions. Signup and view all the answers

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

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

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

To simplify complex calculations in various contexts such as baking and construction. Signup and view all the answers

What is the benefit of using the trial and improvement method to find the point of intersection?

It allows for estimation of the point of intersection by using equations and the process of trial and improvement. Signup and view all the answers

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

It is essential for analyzing and interpreting data, making decisions, and understanding the implications of different relationships. Signup and view all the answers

What is the primary purpose of using a street map?

To identify locations using symbols and follow directions. Signup and view all the answers

What is the primary advantage of using a strip chart?

It provides more accurate traveling distances on specific sections of a route. Signup and view all the answers

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

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

What is the primary skill required when using a national road map?

Deciding on the most appropriate route between destinations. Signup and view all the answers

What is the purpose of using distance tables on a map?

To determine distances between major cities and towns. Signup and view all the answers

What is the primary purpose of using a housing complex map?

To work with a map that shows a small area with limited detail. Signup and view all the answers

What type of calculation is required when a distance table or distance markers are not provided on a map?

Map measurement to actual distance. Signup and view all the answers

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

To estimate distances when a distance table or distance markers are not provided. Signup and view all the answers

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

To determine the probability of multiple outcomes Signup and view all the answers

Which of the following formats is not a result of the calculation of a probability value?

Ratio format Signup and view all the answers

What is the primary purpose of using historical trends in probability calculations?

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

What is the result of dividing a fraction by 100 in probability calculations?

Decimal format Signup and view all the answers

What is the characteristic of a compound event that involves more than one occurrence or trial?

The probability calculation takes into account multiple possible outcomes Signup and view all the answers

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

To determine the probability of multiple outcomes Signup and view all the answers

What is the key concept in understanding probability values?

Probability is a prediction of an event occurring Signup and view all the answers

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

To provide different ways of interpreting the probability value Signup and view all the answers

What is the primary purpose of drawing a 2D plan or net of a 3D model?

To understand the faces and edges of the model 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 Signup and view all the answers

What is the result of multiplying a fraction by 100 in probability calculations?

Percentage format Signup and view all the answers

What is the key concept in following instructions for assembly?

Understanding the sequence of steps Signup and view all the answers

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

To avoid errors in assembly Signup and view all the answers

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

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

What is the formula to calculate the probability of a simple event?

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

What is the purpose of estimating quantities and costs in the assembly process?

To calculate the total cost of materials required Signup and view all the answers

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

To calculate quantities, costs, and time estimates Signup and view all the answers

What is the purpose of following the assembly steps in the correct sequence?

To avoid errors in assembly and ensure that the components fit together properly Signup and view all the answers

What is the importance of understanding the probability value in simple events?

It predicts the likelihood of the event occurring Signup and view all the answers

What is the primary purpose of checking and adjusting the assembled parts during the assembly process?

To make adjustments as necessary to correct any mistakes or misalignments Signup and view all the answers

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

The graph shows different fees for different time intervals Signup and view all the answers

What is the purpose of drawing graphs for unfamiliar situations?

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

What is an example of a combination of relationships?

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

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

To develop skills and competencies in drawing and interpreting graphs Signup and view all the answers

What is represented by the flat portion of a graph?

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

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

The graph has different portions that represent different relationships Signup and view all the answers

What is the primary purpose of identifying the point of intersection between two graphs?

Not applicable to this topic Signup and view all the answers

What is the benefit of using the trial and improvement method to find the point of intersection?

Not applicable to this topic Signup and view all the answers

What is the purpose of drawing a graph for a situation with an unknown formula or pattern?

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

What is the main difference between a step-function relationship and a constant ratio relationship?

One is characterized by a graph that becomes steeper at an increasing rate, while the other is not Signup and view all the answers

What is the main advantage of using the trial and improvement method to find the point of intersection between two graphs?

It is a more accurate method than estimating the point of intersection from a graph. Signup and view all the answers

What does the point of intersection between two graphs represent in the context of comparing the cost of electricity on different systems?

The point where the cost of electricity on the two systems is the same. Signup and view all the answers

What is the primary purpose of drawing graphs for unfamiliar situations?

To make sense of the situation and reveal patterns and trends that were not visible without the graph. Signup and view all the answers

What is the importance of understanding intersection points and the regions around them?

It provides insights into where different systems or scenarios yield the same results. Signup and view all the answers

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

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

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

2.206 Signup and view all the answers

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

It is essential in various contexts such as baking and construction. Signup and view all the answers

What is the step in the trial and improvement method to determine the point of intersection between two graphs?

Substitute different values into the equations to see if they result in the same output. Signup and view all the answers

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

To find an approximate point of intersection when the exact point cannot be determined. Signup and view all the answers

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

It has multiple parts with different slopes. Signup and view all the answers

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

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

What is the correct unit to express the volume of a substance when converting from cubic meters (m³) to liters?

Liters (l) Signup and view all the answers

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

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

What is the correct step to convert a time value from minutes to seconds?

Multiply the minutes by 60 Signup and view all the answers

What is the correct step to calculate the total hours from a time value given in hours, minutes, and seconds?

Convert the minutes and seconds to hours and then add Signup and view all the answers

What is the main purpose of identifying the week and dates of the events in a timetable?

To locate the specific event in the timetable Signup and view all the answers

What is the correct formula to convert a time value from hours to seconds?

Seconds = Hours × 3600 Signup and view all the answers

What is the correct step to calculate the difference between two time values?

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

What is the purpose of breaking down a time value into hours, minutes, and seconds when calculating the difference between two time values?

To make the calculation more accurate Signup and view all the answers

What is the correct unit to express the spread rate of the paint?

Square meters per liter (m²/l) Signup and view all the answers

What is the main limitation of using probability values in predictions?

They do not guarantee outcomes Signup and view all the answers

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

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

What is the characteristic of a graph that represents a constant ratio relationship?

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

What is the purpose of observing historical trends in probability calculations?

To predict the likelihood of future events Signup and view all the answers

What is the result of converting a probability value from a fraction to a percentage?

Multiplying the fraction by 100 Signup and view all the answers

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

To determine the probability of a compound event Signup and view all the answers

What is the key concept in understanding probability values?

They are predictions, not guarantees Signup and view all the answers

What is an example of a compound event?

All of the above Signup and view all the answers

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

A combination of flat and increasing portions Signup and view all the answers

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

It helps to make predictions and understand the uncertainty of outcomes Signup and view all the answers

What is the primary purpose of an elevation plan?

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

What is the key concept for working with plans?

Describe features of a building or structure Signup and view all the answers

What is the purpose of building 3D models from 2D plans/nets?

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

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

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

What is the primary purpose of the models section?

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

What is the key skill for Grade 11 learners in the models section?

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

What is the process of moving from a 2D drawing to constructing a 3D object?

Understanding 2D plans/nets, building 3D models, and using models to investigate various problems Signup and view all the answers

What is the key concept for design drawings?

Describe the item or object shown on the design plan 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 Signup and view all the answers

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

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

If a map has a scale of 1:25,000, what is the actual distance represented by 5 cm on the map?

2.5 km Signup and view all the answers

What is the primary reason why distances on a map can only be estimated, not determined accurately?

Many factors, such as accurate measurement and location, affect the accuracy of distance calculations. Signup and view all the answers

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

The bar scale is resized proportionally. 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, without the roof. 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 Signup and view all the answers

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

A number scale shows the relationship between the size of the area on the map and the actual size. Signup and view all the answers

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

To convert map measurements to actual distances or vice versa. Signup and view all the answers

What is the primary purpose of a design drawing?

To design and plan the construction of a building or structure. Signup and view all the answers

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

The number scale becomes invalid. Signup and view all the answers

What is the primary purpose of converting minutes to seconds in time conversions?

To make calculations easier Signup and view all the answers

Which of the following is an example of a practical application of time conversions in real-life contexts?

Determining the time elapsed between two events Signup and view all the answers

What is the primary purpose of understanding units of measurement in the context of measurement and estimation?

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

Which of the following measurement techniques involves using known reference points or benchmarks to make estimations more accurate?

Using benchmarks to estimate quantities Signup and view all the answers

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

To understand the properties of geometric figures Signup and view all the answers

What is the primary importance of using significant figures correctly in measurement and calculation?

To reflect the accuracy of the data Signup and view all the answers

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

To choose the appropriate tool or method Signup and view all the answers

What is the primary purpose of error analysis in measurement and estimation?

To account for potential errors in measurement and calculation Signup and view all the answers

What is the primary purpose of using rates and proportions in measurement and estimation?

To solve problems involving speed, density, and other rate-based measures Signup and view all the answers

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

To represent real-life objects or distances accurately Signup and view all the answers

What is the purpose of calculating the surface area of a 3-dimensional object?

To determine the total area of all the surfaces of the object Signup and view all the answers

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

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

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

To ensure the correct units are used in the calculations Signup and view all the answers

What is the relationship between 1 cm^3 and 1 ml?

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

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

V = 15 cm^3 Signup and view all the answers

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

SA = 52 cm^2 Signup and view all the answers

What is the purpose of recording the measurement or estimation in the correct units and with the appropriate level of precision?

To ensure the correct units are used in the calculations Signup and view all the answers

What is the formula for the volume of a rectangular-based container?

V = area of base x height Signup and view all the answers

What is the purpose of analysing and applying the results of surface area and volume calculations?

To solve problems or make decisions in real-world contexts Signup and view all the answers

What is the conversion ratio between 1 m^3 and litres?

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

Gr 11 Math Lit: November Hard P(2)

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Questions and Answers

What is the main purpose of a national road map?

What is the primary use of a strip chart?

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

What is the purpose of a housing complex map?

What is the main skill required when using a street map?

What is the purpose of a distance table?

What type of calculation is required when a distance table or distance markers are not provided on a map?

What is the primary use of a scale on a map?

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

What type of scale is expressed in the format 1:50,000?

What is the purpose of a floor plan?

If a map has a scale of 1:50,000, how many times smaller is the map compared to the actual size?

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

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

What type of scale shows the relationship between a measured length and an actual distance?

Why can't you determine distances accurately on a map using a scale?

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

What is the purpose of a scale on a map?

What is the primary purpose of an elevation plan?

What is the purpose of a design drawing?

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

What is the purpose of a floor plan?

What is a key concept for working with plans?

What is a key concept for design drawings?

What is the purpose of building 3D models from 2D plans/nets?

What is the primary purpose of the models section?

What is a key skill for Grade 11 learners in the models section?

What is the process of moving from a 2D drawing to constructing a 3D object?

Which of the following formats is the original form resulting from the calculation of a probability value?

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

What is the key concept in understanding probability values?

Which of the following is an example of a simple event?

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

Which of the following is a characteristic of a compound event?

What is the result of multiplying a fraction by 100 in probability calculations?

Which of the following is an example of a compound event?

What is the purpose of observing historical trends in probability calculations?

What is the formula to calculate the probability of a simple event?

What is a characteristic of a step-function relationship?

What type of relationship is represented by a graph that becomes steeper at an increasing rate?

What is the purpose of drawing graphs in unfamiliar situations?

What is an example of a combination of relationships?

What is the main difference between a step-function relationship and a constant ratio relationship?

What is represented by the flat portion of a graph?

What is an example of a constant ratio relationship?

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

What is the purpose of drawing a graph for a situation with an unknown formula or pattern?

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

What is the primary purpose of identifying the point of intersection between two graphs?

What is the benefit of using the trial and improvement method to find the point of intersection?

What is the significance of understanding the intersection points and the regions around them?

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

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

What is the purpose of using conversion factors in measurements?

What is the benefit of drawing and interpreting graphs for unfamiliar situations?

What is the term used to describe the point where two graphs intersect?

What is the purpose of using the method of trial and improvement to find the point of intersection?

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

What is the primary step in assembling a 3D model?

Which of the following is NOT a key concept in assembling components?

What is the primary limitation of probability values in prediction?

What is the purpose of measuring materials accurately?

What is the formula to calculate the probability of a simple event?

What is the primary difference between simple and compound events?

What is the purpose of a tree diagram in probability calculations?

What is the primary purpose of estimating quantities and costs of materials?

What is the result of not following the assembly steps in sequence?

What is the characteristic of a constant ratio relationship?

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

What is the advantage of using a two-way table in probability calculations?

What is the final step in assembling a 3D model?

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

What is the primary application of probability values in advertisements?

What is the formula to convert weight from grams to milliliters?

What is the purpose of using mathematical tools and techniques in assembling components?

What is the relationship between the probability value and the number of possible outcomes?