Gr 11 Math Lit: November Easy P(2)

What skill is developed when using a national road map?

Working with a map that shows a small area with limited detail
Identifying locations using symbols
Following and providing directions using street names and directional indicators
Deciding on the most appropriate route between destinations (correct)

What type of map is used to determine the positions and names of streets within a city?

Strip Chart
National Road Map
Street Map (correct)
Housing Complex Map

What is the purpose of a distance table on a national road map?

To determine more accurate traveling distances on specific sections of a route
To plan stopping points for accommodation, breaks, or refuelling
To determine distances between major cities and towns (correct)
To estimate traveling costs and times

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

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

What skill is developed when using a strip chart?

Determining more accurate traveling distances on specific sections of a route (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 (A) Signup and view all the answers

What is the purpose of a scale on a map?

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

What is the first step in calculating the actual distance from a map measurement?

Measure a distance on a map (B) Signup and view all the answers

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

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

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

Number Scale (C) 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 (B) Signup and view all the answers

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

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

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

Bar Scale (D) Signup and view all the answers

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

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

Why can't distances be determined accurately on a map?

Because of various factors, including accurate measurement and location (A) Signup and view all the answers

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

Bar scales remain valid even when the map is resized (C) Signup and view all the answers

What is the purpose of understanding scales in mapping?

To estimate distances accurately (B) Signup and view all the answers

What does a number scale of 1:50,000 mean?

The actual area is 50,000 times larger than the map (D) 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 (A) Signup and view all the answers

What is shown on an elevation plan?

Dimensions and layout of the outside of the building (D) 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 (B) Signup and view all the answers

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

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

What is the primary purpose of section 3: Drawing Scaled Plans?

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

What is the key concept of working with plans?

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

What is the key concept of design drawings?

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

What is the purpose of 3D models in this context?

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

What is a 2D net?

A flat layout that, when folded, forms a 3D object (D) Signup and view all the answers

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

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

What is the main difference between simple and compound events?

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

What is an example of a compound event?

Insurance rate prediction (C) Signup and view all the answers

What is the uncertainty in prediction?

The likelihood of the event occurring, but not a guarantee (A) Signup and view all the answers

What is the format of a probability value that is obtained by multiplying the fraction by 100?

Percentage format (D) Signup and view all the answers

What is the purpose of a tree diagram?

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

What type of relationship occurs when a value is increased by a factor and then this new increased value is again increased by the factor?

Constant ratio relationship (B) 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 (C) Signup and view all the answers

What is represented by the flat portion of a graph in a combination of relationships?

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

What is the purpose of a two-way table?

To compare two different variables and determine their probabilities (A) 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 purpose of two-way tables in compound events?

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

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

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

What is the purpose of converting actual values to percentage probability values?

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

What is the definition of a simple event?

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

What is the purpose of using historical trends in probability?

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

What is the format of a probability value derived by dividing the fraction?

Decimal format (B) Signup and view all the answers

What is the purpose of probability values in advertisements?

To make predictions based on historical data (A) Signup and view all the answers

What is the main difference between simple and compound events?

The number of occurrences or trials (A) Signup and view all the answers

What is the first step in creating a 3D model?

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

What is the purpose of measuring materials accurately?

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

What is the importance of following the assembly steps in sequence?

To ensure 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 make adjustments as needed to correct mistakes (D) Signup and view all the answers

What is the definition of a probability value?

A prediction of the likelihood that an event may occur (D) Signup and view all the answers

What is the purpose of interpreting instructions or plans for assembly?

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

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

To ensure accurate measurements (B) Signup and view all the answers

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

To determine the cost of materials (B) Signup and view all the answers

What is a simple event in probability?

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

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

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

What type of relationship is represented by a flat portion on a graph?

Fixed fee that does not change with usage (D) 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 purpose of recognizing and understanding the implications of different relationships?

To analyze and interpret real-world situations (C) Signup and view all the answers

What type of relationship is characterized by a graph that is made up of a combination of different types of relationships?

Combination of relationships (B) Signup and view all the answers

What is the characteristic of an increasing portion on a graph?

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

What is the purpose of interpreting and analyzing the meaning of different portions of a graph?

To understand real-world situations (A) Signup and view all the answers

What type of relationship 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 (A) Signup and view all the answers

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

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

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

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

What is the main advantage of drawing graphs of unfamiliar situations?

To reveal patterns and trends that were not visible without the graph (A) Signup and view all the answers

How do you convert cubic units to liters?

Volume (l) = Volume (m³) × 1,000 (C) 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 on the two different systems is the same (D) 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) (A) 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

Why is it important to double-check your calculations when performing conversions?

To ensure accuracy and avoid mistakes (B) Signup and view all the answers

What is the formula to convert minutes to seconds?

Seconds = Minutes × 60 (A) Signup and view all the answers

What is the purpose of the trial and improvement method?

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

What do conversion factors allow you to do?

Switch between different units of measurement (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

How do you calculate the total seconds from a time value in hours, minutes, and seconds?

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

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

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

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

Identify the start and end times (C) Signup and view all the answers

What is the importance of understanding intersection points?

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

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

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

What is the purpose of using a timetable?

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

Why are conversions between solid and liquid quantities essential?

In cooking and construction (C) Signup and view all the answers

Why is it important to understand the context in which the conversion is being performed?

To use the correct units and conversion factors (D) Signup and view all the answers

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

To find the point where the two graphs intersect (A) Signup and view all the answers

What is the purpose of converting minutes to hours?

To plan activities according to a timetable (A) Signup and view all the answers

What is the formula to convert minutes to seconds?

Seconds = Minutes × 60 (A) Signup and view all the answers

What is the purpose of understanding units of measurement?

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

What is the purpose of measuring time?

To calculate the time elapsed between events (A) Signup and view all the answers

What is the purpose of using thermometers?

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

What is the purpose of understanding scaling in maps?

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

What is the purpose of using significant figures?

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 (B) Signup and view all the answers

What is the purpose of using rates and proportions?

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

What is the purpose of measuring mass and weight?

To use scales and balances to measure mass and weight (C) Signup and view all the answers

What refers to the total area of all the surfaces of a 3-dimensional object?

Surface area (A) Signup and view all the answers

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

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

What is the unit of measurement for surface area?

Square units (B) Signup and view all the answers

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

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

What is the unit of measurement for volume?

Cubic units (C) Signup and view all the answers

How many liters can 1 cubic meter hold?

1000 liters (C) Signup and view all the answers

What is the conversion ratio between cubic centimeter and milliliter?

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

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

To ensure accurate results (A) Signup and view all the answers

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

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

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

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

Gr 11 Math Lit: November Easy P(2)

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Questions and Answers

What skill is developed when using a national road map?

What type of map is used to determine the positions and names of streets within a city?

What is the purpose of a distance table on a national road map?

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

What skill is developed when using a strip chart?

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

What is the purpose of a scale on a map?

What is the first step in calculating the actual distance from a map measurement?

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

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

What is the purpose of a floor plan?

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

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

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

Why can't distances be determined accurately on a map?

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

What is the purpose of understanding scales in mapping?

What does a number scale of 1:50,000 mean?

What is the primary purpose of a floor plan?

What is shown on an elevation plan?

What is the purpose of a design drawing?

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

What is the primary purpose of section 3: Drawing Scaled Plans?

What is the key concept of working with plans?

What is the key concept of design drawings?

What is the purpose of 3D models in this context?

What is a 2D net?

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

What is the main difference between simple and compound events?

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

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

What is an example of a compound event?

What is the uncertainty in prediction?

What is the format of a probability value that is obtained by multiplying the fraction by 100?

What is the purpose of a tree diagram?

What type of relationship occurs when a value is increased by a factor and then this new increased value is again increased by the factor?

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

What is represented by the flat portion of a graph in a combination of relationships?

What is the purpose of a two-way table?

What is the definition of a compound event?

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

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

What is the purpose of converting actual values to percentage probability values?

What is the definition of a simple event?

What is the purpose of using historical trends in probability?

What is the format of a probability value derived by dividing the fraction?

What is the purpose of probability values in advertisements?

What is the main difference between simple and compound events?

What is the first step in creating a 3D model?

What is the purpose of measuring materials accurately?

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

What is the importance of following the assembly steps in sequence?

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

What is the definition of a probability value?

What is the purpose of interpreting instructions or plans for assembly?

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

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

What is a simple event in probability?

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

What is the purpose of drawing graphs in unfamiliar situations?

What type of relationship is represented by a flat portion on a graph?

What is the characteristic of a step-function relationship?

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

What type of relationship is characterized by a graph that is made up of a combination of different types of relationships?

What is the characteristic of an increasing portion on a graph?

What is the purpose of interpreting and analyzing the meaning of different portions of a graph?

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

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

What is the main advantage of drawing graphs of unfamiliar situations?

How do you convert cubic units to liters?

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

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

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

Why is it important to double-check your calculations when performing conversions?

What is the formula to convert minutes to seconds?