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?

  • 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?

<p>To work with a map that shows a small area with limited detail (B)</p> Signup and view all the answers

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

<p>Identifying locations using symbols (D)</p> Signup and view all the answers

What is the purpose of a distance table?

<p>To determine distances between major cities and towns (D)</p> 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?

<p>Calculation Type 1: Map Measurement to Actual Distance (B)</p> Signup and view all the answers

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

<p>To convert map measurements to actual distances (A)</p> Signup and view all the answers

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

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

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

<p>Number scale (C)</p> Signup and view all the answers

What is the purpose of a floor plan?

<p>To show a 2-dimensional perspective of a building from above, without the roof (B)</p> 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?

<p>50,000 times (A)</p> Signup and view all the answers

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

<p>Bar scales remain accurate even when the map is resized (B)</p> Signup and view all the answers

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

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

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

<p>Bar scale (B)</p> Signup and view all the answers

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

<p>Because many factors can affect the accuracy of a distance calculation (A)</p> Signup and view all the answers

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

<p>The number scale becomes inaccurate (B)</p> Signup and view all the answers

What is the purpose of a scale on a map?

<p>To allow users to estimate traveling distances accurately (C)</p> Signup and view all the answers

What is the primary purpose of an elevation plan?

<p>To show the design and dimensions of the outside of a building or structure. (D)</p> Signup and view all the answers

What is the purpose of a design drawing?

<p>To see what a completed item will look like and the dimensions of its parts. (C)</p> Signup and view all the answers

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

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

What is the purpose of a floor plan?

<p>To show the design and dimensions of the inside of a building or structure. (D)</p> Signup and view all the answers

What is a key concept for working with plans?

<p>Describing features of a building or structure (B)</p> Signup and view all the answers

What is a key concept for design drawings?

<p>Describing the item or object shown on the design plan (D)</p> Signup and view all the answers

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

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

What is the primary purpose of the models section?

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

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

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

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

<p>Building 3D models (B)</p> Signup and view all the answers

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

<p>Fraction Format (D)</p> Signup and view all the answers

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

<p>To compare two different variables and determine probability values (B)</p> Signup and view all the answers

What is the key concept in understanding probability values?

<p>The probability value is a prediction, not a guarantee (D)</p> Signup and view all the answers

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

<p>Weather forecasts (B)</p> Signup and view all the answers

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

<p>To map out all possible outcomes of events (A)</p> Signup and view all the answers

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

<p>Involves more than one occurrence or trial (D)</p> Signup and view all the answers

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

<p>Percentage format (B)</p> Signup and view all the answers

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

<p>Car insurance rates for different genders and age groups (B)</p> Signup and view all the answers

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

<p>To predict future events (A)</p> Signup and view all the answers

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

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

What is a characteristic of a step-function relationship?

<p>The graph has distinct steps indicating different fees for different time intervals. (C)</p> Signup and view all the answers

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

<p>Constant ratio relationship (A)</p> Signup and view all the answers

What is the purpose of drawing graphs in unfamiliar situations?

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

What is an example of a combination of relationships?

<p>A cell phone contract with a fixed monthly subscription fee and additional charges for call minutes beyond a certain threshold (C)</p> Signup and view all the answers

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

<p>The shape of the graph (D)</p> Signup and view all the answers

What is represented by the flat portion of a graph?

<p>A fixed fee that does not change with usage (C)</p> Signup and view all the answers

What is an example of a constant ratio relationship?

<p>A household's food purchases that increase at a rate of 7.4% per year (C)</p> Signup and view all the answers

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

<p>To make sense of real-world situations and reveal patterns and trends (D)</p> Signup and view all the answers

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

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

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

<p>The graph has a flat portion representing a fixed fee and an increasing portion representing additional charges (D)</p> Signup and view all the answers

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

<p>To identify the point where the cost of electricity is the same (C)</p> Signup and view all the answers

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

<p>It allows for estimation of the point of intersection (D)</p> Signup and view all the answers

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

<p>It provides insights into where different systems or scenarios yield the same results (D)</p> Signup and view all the answers

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

<p>2.206 (C)</p> Signup and view all the answers

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

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

What is the purpose of using conversion factors in measurements?

<p>To ensure accurate conversions between units (C)</p> Signup and view all the answers

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

<p>It reveals patterns and trends that were not visible without the graph (B)</p> Signup and view all the answers

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

<p>Point of intersection (A)</p> Signup and view all the answers

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

<p>To estimate the point of intersection (D)</p> 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?

<p>It indicates where the cost of electricity on the two systems is the same (C)</p> Signup and view all the answers

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

<p>Understanding instructions and identifying all parts (B)</p> Signup and view all the answers

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

<p>Calculating the probability of an event (D)</p> Signup and view all the answers

What is the primary limitation of probability values in prediction?

<p>They do not guarantee outcomes. (B)</p> Signup and view all the answers

What is the purpose of measuring materials accurately?

<p>To ensure that materials fit together correctly (D)</p> Signup and view all the answers

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

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

What is the primary difference between simple and compound events?

<p>The complexity of the probability calculation. (B)</p> Signup and view all the answers

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

<p>To visualize the possible outcomes of a compound event. (B)</p> Signup and view all the answers

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

<p>To plan and budget for the assembly process (D)</p> Signup and view all the answers

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

<p>The components may not fit together properly (A)</p> Signup and view all the answers

What is the characteristic of a constant ratio relationship?

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

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

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

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

<p>It enables the conversion of actual values to percentage probability values. (B)</p> Signup and view all the answers

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

<p>Completing the assembly and double-checking all parts (B)</p> Signup and view all the answers

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

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

What is the primary application of probability values in advertisements?

<p>To predict the likelihood of an event based on historical data. (B)</p> Signup and view all the answers

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

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

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

<p>To measure and cut materials accurately (A)</p> Signup and view all the answers

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

<p>The probability value decreases as the number of possible outcomes increases. (A)</p> Signup and view all the answers

What is the result of not measuring materials accurately?

<p>The components may not fit together properly (A)</p> Signup and view all the answers

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

<p>Identify the surface area to be painted (D)</p> Signup and view all the answers

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

<p>To ensure accuracy in the conversion (C)</p> Signup and view all the answers

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

<p>The flat portion represents a fixed fee, while the increasing portion represents a variable rate. (B)</p> Signup and view all the answers

What is the formula to convert hours to seconds?

<p>Seconds = Hours × 3600 (C)</p> Signup and view all the answers

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

<p>Convert both times into a single unit (B)</p> Signup and view all the answers

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

<p>To identify the exact date and time of the event (A)</p> Signup and view all the answers

What is the formula to convert minutes to seconds?

<p>Seconds = Minutes × 60 (A)</p> Signup and view all the answers

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

<p>To ensure accuracy in the conversion (B)</p> Signup and view all the answers

What is the formula to convert liters to milliliters?

<p>Milliliters = Liters × 1000 (D)</p> Signup and view all the answers

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

<p>To ensure accuracy in the conversion (D)</p> Signup and view all the answers

What is the primary purpose of understanding time conversions?

<p>To plan and organize activities effectively (C)</p> Signup and view all the answers

What is the formula to convert minutes to hours?

<p>Hours = Minutes / 60 (D)</p> Signup and view all the answers

What is the primary purpose of calculating time differences?

<p>To find the time elapsed between events accurately (D)</p> Signup and view all the answers

What is the formula to convert hours to seconds?

<p>Seconds = Hours * 3600 (C)</p> Signup and view all the answers

What is the primary purpose of using timetables?

<p>To extract key information to plan and organize activities effectively (A)</p> Signup and view all the answers

What is the formula to convert seconds to hours?

<p>Hours = Seconds / 3600 (D)</p> Signup and view all the answers

What is the primary purpose of understanding units of measurement?

<p>To recognize and use standard units of measurement (B)</p> Signup and view all the answers

What is the primary purpose of measuring techniques?

<p>To use appropriate tools to measure length, area, and volume (B)</p> Signup and view all the answers

What is the primary purpose of estimation techniques?

<p>To make reasonable estimates of quantities when exact measurement is not possible (B)</p> Signup and view all the answers

What is the primary purpose of accuracy and precision?

<p>To use significant figures correctly in measurement and calculation (B)</p> 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?

<p>62 cm^2 (A)</p> 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?

<p>160Ï€ cm^3 (A)</p> 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?

<p>80 litres (B)</p> Signup and view all the answers

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

<p>1 cm^3 = 1 ml (A)</p> 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?

<p>100000 mm^3 (A)</p> 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?

<p>90Ï€ cm^2 (A)</p> 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?

<p>5 cm (D)</p> Signup and view all the answers

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

<p>1 m^3 = 1000 litres (A)</p> 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?

<p>6 cm (A)</p> 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?

<p>72000 mm^3 (C)</p> Signup and view all the answers

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

<p>It allows for the estimation of traveling costs and times over long distances. (A)</p> Signup and view all the answers

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

<p>Using a grid reference system with the street index. (C)</p> Signup and view all the answers

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

<p>To estimate traveling distances when a distance table or distance markers are not provided. (D)</p> Signup and view all the answers

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

<p>Working with a map that shows a small area with limited detail. (B)</p> Signup and view all the answers

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

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

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

<p>It provides more accurate traveling distances on specific sections of a route. (A)</p> Signup and view all the answers

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

<p>It can be used when a distance table or distance markers are not provided. (A)</p> Signup and view all the answers

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

<p>It provides more detailed information about a specific city or town. (D)</p> Signup and view all the answers

What is the main purpose of a floor plan?

<p>To show the interior layout and dimensions of a building (B)</p> Signup and view all the answers

What is the function of an elevation plan?

<p>To show the exterior design of a building (D)</p> Signup and view all the answers

What is the purpose of a design drawing?

<p>To show the design and dimensions of an item to be constructed or manufactured (D)</p> Signup and view all the answers

What is the key concept for working with plans?

<p>All of the above (D)</p> Signup and view all the answers

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

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

What is the primary purpose of the models section?

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

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

<p>All of the above (D)</p> Signup and view all the answers

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

<p>Cutting out the 2D net and folding along the indicated lines (D)</p> Signup and view all the answers

What is a 2D net?

<p>A flat layout that, when folded along specific lines, forms a 3D object (B)</p> Signup and view all the answers

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

<p>To construct a 3D object from a 2D net (C)</p> Signup and view all the answers

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

<p>To understand historical trends and make informed decisions (D)</p> Signup and view all the answers

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

<p>Tree diagrams (C)</p> Signup and view all the answers

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

<p>Percentage format (A)</p> Signup and view all the answers

What is the key concept in understanding probability values?

<p>That they predict the likelihood of an event occurring (C)</p> Signup and view all the answers

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

<p>Rolling a die twice (A)</p> Signup and view all the answers

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

<p>To determine the probability values and make predictions (D)</p> Signup and view all the answers

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

<p>To visualize the model's faces and edges (D)</p> Signup and view all the answers

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

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

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

<p>Understanding the instructions and identifying all components and tools required (A)</p> Signup and view all the answers

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

<p>To understand the past patterns and make informed decisions (D)</p> Signup and view all the answers

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

<p>To ensure accuracy and make adjustments as necessary (D)</p> Signup and view all the answers

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

<p>Involves more than one occurrence or trial (D)</p> Signup and view all the answers

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

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

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

<p>To list all possible outcomes of events and determine their probabilities (A)</p> Signup and view all the answers

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

<p>To measure and cut materials accurately (B)</p> Signup and view all the answers

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

<p>To ensure that all necessary materials are available before starting the assembly (A)</p> Signup and view all the answers

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

<p>To ensure that the components fit together properly (D)</p> Signup and view all the answers

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

<p>To plan and schedule the assembly process effectively (C)</p> Signup and view all the answers

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

<p>To predict the likelihood of an event occurring (A)</p> Signup and view all the answers

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

<p>To ensure that the components fit together properly (A)</p> 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?

<p>Many factors affect the accuracy of the distance calculation (A)</p> Signup and view all the answers

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

<p>A bar scale remains valid even if the map is resized (C)</p> 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?

<p>Actual distance = Map measurement × 50,000 (B)</p> Signup and view all the answers

What is the purpose of a floor plan?

<p>To show a 2-dimensional perspective of a building or structure as seen from above, without the roof (A)</p> 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?

<p>The map is 50,000 times smaller than the actual size (B)</p> Signup and view all the answers

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

<p>To estimate the distance between two points when a distance table or distance markers are not provided (B)</p> 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?

<p>Map measurement = Actual distance ÷ 50,000 (C)</p> Signup and view all the answers

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

<p>A bar scale shows the relationship between measured length and actual distance (C)</p> Signup and view all the answers

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

<p>The number scale becomes invalid (A)</p> Signup and view all the answers

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

<p>To estimate the distance between two points when a distance table or distance markers are not provided (D)</p> Signup and view all the answers

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

<p>In fraction, decimal, or percentage formats (A)</p> Signup and view all the answers

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

<p>To list all possible outcomes and determine their probabilities (A)</p> Signup and view all the answers

What is a characteristic of a compound event?

<p>It involves more than one occurrence or trial (D)</p> Signup and view all the answers

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

<p>A percentage value (A)</p> Signup and view all the answers

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

<p>To predict the likelihood of future events (C)</p> Signup and view all the answers

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

<p>It becomes steeper at an increasing rate (C)</p> Signup and view all the answers

What is the purpose of drawing graphs in unfamiliar situations?

<p>To identify the type of relationship (C)</p> Signup and view all the answers

What is an example of a combination of relationships?

<p>A graph that represents a constant ratio relationship and a flat portion (B)</p> Signup and view all the answers

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

<p>A step-function relationship has a flat portion, while a constant ratio relationship does not (C)</p> Signup and view all the answers

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

<p>It helps in making predictions and informed decisions (A)</p> Signup and view all the answers

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

<p>To determine the time elapsed between events (B)</p> Signup and view all the answers

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

<p>Seconds = Minutes × 60 (B)</p> Signup and view all the answers

What is the purpose of measuring time in seconds?

<p>To determine the time elapsed between events (A)</p> Signup and view all the answers

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

<p>Understanding units of measurement (D)</p> Signup and view all the answers

What is the purpose of using a stopwatch?

<p>To measure time in seconds (A)</p> Signup and view all the answers

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

<p>Extracting key information from timetables (A)</p> Signup and view all the answers

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

<p>To determine the time elapsed between events (D)</p> Signup and view all the answers

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

<p>Understanding standard units of measurement (D)</p> Signup and view all the answers

What is the purpose of converting seconds to hours?

<p>To understand time conversions (C)</p> Signup and view all the answers

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

<p>Interpreting stopwatch values and other time recordings (D)</p> Signup and view all the answers

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

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

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

<p>It has multiple points of intersection (B)</p> Signup and view all the answers

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

<p>To determine the values at which two relationships are equal (B)</p> Signup and view all the answers

What is the importance of understanding intersection points?

<p>It provides insights into where different systems or scenarios yield the same results (A)</p> Signup and view all the answers

What is the trial and improvement method used for?

<p>To determine the values at which two relationships are equal (B)</p> Signup and view all the answers

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

<p>To make conversions in various contexts such as baking and construction (D)</p> Signup and view all the answers

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

<p>Weight (pounds) = Weight (kg) × 2.206 (B)</p> Signup and view all the answers

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

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

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

<p>It helps to determine the values at which two relationships are equal (A)</p> Signup and view all the answers

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

<p>The quantity or unit and the corresponding amount (D)</p> Signup and view all the answers

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

<p>The graph becomes steeper at an increasing rate (D)</p> Signup and view all the answers

What is the purpose of drawing graphs in unfamiliar situations?

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

What is an example of a combination of relationships?

<p>The cost of making calls on a particular cell phone contract (C)</p> Signup and view all the answers

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

<p>The type of relationship represented (A)</p> Signup and view all the answers

What is represented by the increasing portion of a graph?

<p>Additional charges that increase linearly with usage (C)</p> Signup and view all the answers

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

<p>To apply the skills and competencies to real-world situations (D)</p> Signup and view all the answers

What is the characteristic of a step-function relationship?

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

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

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

What is an example of a constant ratio relationship?

<p>The monthly cost of food purchases in a household increasing at a rate of 7.4% per year (C)</p> Signup and view all the answers

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

<p>To make sense of unfamiliar situations and reveal patterns and trends (B)</p> Signup and view all the answers

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

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

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

<p>V = πr^2h (C)</p> Signup and view all the answers

What is the conversion ratio between cubic meters and liters?

<p>1 m^3 = 1000 L (A)</p> Signup and view all the answers

What is the unit of measurement for surface area?

<p>Square units (B)</p> Signup and view all the answers

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

<p>Conversion of units (D)</p> Signup and view all the answers

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

<p>V = lwh (C)</p> Signup and view all the answers

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

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

What is the unit of measurement for volume?

<p>Cubic units (B)</p> Signup and view all the answers

What is the conversion ratio between cubic centimeters and milliliters?

<p>1 cm^3 = 1 mL (D)</p> Signup and view all the answers

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

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

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

<p>The value increases by a factor of 1000 (C)</p> Signup and view all the answers

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

<p>Multiply the number of minutes by 60 to get seconds (A)</p> Signup and view all the answers

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

<p>To find the difference between two time values (D)</p> Signup and view all the answers

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

<p>To ensure accuracy in calculations (A)</p> Signup and view all the answers

What is the formula to convert minutes to seconds?

<p>Seconds = Minutes × 60 (C)</p> Signup and view all the answers

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

<p>Multiply the hours by 3600 and add the minutes and seconds (A)</p> Signup and view all the answers

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

<p>To locate the specific week in which the event is scheduled (B)</p> Signup and view all the answers

What is the formula to convert hours to seconds?

<p>Seconds = Hours × 3600 (B)</p> Signup and view all the answers

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

<p>Subtract the smaller time value from the larger one (B)</p> Signup and view all the answers

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

<p>To ensure accuracy (B)</p> Signup and view all the answers

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

<p>To identify all parts and components needed for assembly (B)</p> Signup and view all the answers

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

<p>To ensure accurate measurement and cutting of materials (A)</p> Signup and view all the answers

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

<p>To calculate the total cost of materials (A)</p> Signup and view all the answers

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

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

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

<p>Deciding on the most appropriate route (B)</p> Signup and view all the answers

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

<p>To correct any mistakes or misalignments (C)</p> 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?

<p>25 km (A)</p> Signup and view all the answers

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

<p>To find specific streets using the street index (A)</p> Signup and view all the answers

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

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

What is the characteristic of a simple event in probability?

<p>It involves a single occurrence or trial (B)</p> 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?

<p>Working with a map that shows a small area with limited detail (B)</p> Signup and view all the answers

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

<p>To ensure accuracy and precision in design drawings (A)</p> Signup and view all the answers

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

<p>To convert map measurements to actual distances (D)</p> 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?

<p>80 km (A)</p> Signup and view all the answers

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

<p>To visualize and understand the structure of the design (C)</p> Signup and view all the answers

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

<p>To make predictions about the likelihood of an event occurring (C)</p> Signup and view all the answers

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

<p>To provide accurate distances between locations (A)</p> 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?

<p>The direction of the calculation (A)</p> Signup and view all the answers

What is the primary purpose of an elevation plan?

<p>To show the design and dimensions of the outside of a building or structure (B)</p> 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?

<p>Understand compass directions (A)</p> Signup and view all the answers

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

<p>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. (C)</p> Signup and view all the answers

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

<p>Plan Measure = Actual Dimension ÷ Scale Factor (D)</p> 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?

<p>The map measurement is 50,000 times smaller than the actual distance. (A)</p> Signup and view all the answers

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

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

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

<p>To estimate the distance between two points on the map when a distance table or distance markers are not provided. (B)</p> Signup and view all the answers

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

<p>To visualize and determine all possible outcomes of events (A)</p> Signup and view all the answers

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

<p>The percentage format of the probability value (A)</p> Signup and view all the answers

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

<p>Actual distance = Map measurement x Scale factor (C)</p> 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?

<p>Identify the dimensions of the different components shown on the design plan (C)</p> 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?

<p>Drawing 2D plans/nets of 3D models (C)</p> Signup and view all the answers

What is a characteristic of a compound event?

<p>It involves more than one occurrence or trial (C)</p> Signup and view all the answers

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

<p>Because there are many factors that affect the accuracy of the distance calculation. (A)</p> Signup and view all the answers

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

<p>To determine the probability value of a future event (C)</p> Signup and view all the answers

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

<p>The number scale becomes invalid and a new number scale must be determined. (A)</p> Signup and view all the answers

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

<p>All of the above (D)</p> Signup and view all the answers

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

<p>To determine the probability value of an event and make predictions (A)</p> Signup and view all the answers

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

<p>A bar scale remains valid even if the size of the map is changed. (D)</p> Signup and view all the answers

What is the primary purpose of the models section?

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

What is the key concept in understanding probability values?

<p>That they are predictions, not guarantees (A)</p> Signup and view all the answers

What is the purpose of a floor plan?

<p>To show a 2-dimensional perspective of a building or structure as seen from above, without the roof. (D)</p> 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?

<p>Describe features of a building or structure (D)</p> 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?

<p>An estimation using a scale. (D)</p> 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?

<p>Describe the different component parts required to make the item or object (A)</p> Signup and view all the answers

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

<p>A car insurance rate prediction (D)</p> Signup and view all the answers

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

<p>Map measurement = Actual distance / Scale factor (B)</p> Signup and view all the answers

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

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

What is the purpose of using decimals in probability calculations?

<p>To derive a probability value from a fraction (A)</p> Signup and view all the answers

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

<p>Fraction format (D)</p> Signup and view all the answers

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

<p>To understand the uncertainty involved in predicting the likelihood of events (C)</p> Signup and view all the answers

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

<p>Involves multiple possible outcomes (C)</p> Signup and view all the answers

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

<p>The probability value is multiplied by 100 (C)</p> Signup and view all the answers

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

<p>To predict the likelihood of future events based on past trends (C)</p> Signup and view all the answers

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

<p>The graph becomes steeper at an increasing rate (A)</p> Signup and view all the answers

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

<p>To visualize the possible outcomes of an event (A)</p> Signup and view all the answers

What is the key concept in understanding probability values?

<p>Probability values predict the likelihood of an event, but do not guarantee the outcome (B)</p> Signup and view all the answers

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

<p>To determine the probability values of multiple variables (C)</p> Signup and view all the answers

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

<p>The graph has multiple sections with different trends (A)</p> Signup and view all the answers

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

<p>It helps to make accurate predictions and informed decisions (C)</p> Signup and view all the answers

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

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

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

<p>Divide the surface area by the spread rate of the paint (A)</p> Signup and view all the answers

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

<p>To ensure accuracy and avoid mistakes (B)</p> Signup and view all the answers

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

<p>Seconds = Hours × 3600 (D)</p> Signup and view all the answers

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

<p>To locate the specific week in which the event is scheduled (B)</p> Signup and view all the answers

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

<p>Total Hours = Hours + (Minutes ÷ 60) + (Seconds ÷ 3600) (A)</p> Signup and view all the answers

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

<p>To ensure accuracy and avoid mistakes (C)</p> Signup and view all the answers

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

<p>To plan the activities of the event (A)</p> Signup and view all the answers

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

<p>Liters = Milliliters ÷ 1000 (D)</p> Signup and view all the answers

Which formula is used to convert hours to seconds?

<p>Seconds = Hours × 3600 (A)</p> Signup and view all the answers

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

<p>To ensure accuracy in the calculation (A)</p> Signup and view all the answers

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

<p>To use the right units and conversion factors (C)</p> Signup and view all the answers

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

<p>Time Difference = Larger Time Value - Smaller Time Value (D)</p> Signup and view all the answers

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

<p>To measure time accurately (A)</p> Signup and view all the answers

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

<p>Using a thermometer to measure temperature (D)</p> Signup and view all the answers

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

<p>To reflect the precision of the data (A)</p> Signup and view all the answers

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

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

Which of the following is an example of estimation technique?

<p>Rounding numbers to a specified degree of accuracy (D)</p> Signup and view all the answers

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

<p>To make the estimation more accurate (C)</p> Signup and view all the answers

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

<p>To apply formulas in real-life contexts (C)</p> 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?

<p>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. (B)</p> Signup and view all the answers

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

<p>square units (A)</p> Signup and view all the answers

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

<p>To make sense of the situation and reveal patterns and trends that were not visible without the graph. (B)</p> Signup and view all the answers

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

<p>It has different portions representing different relationships. (B)</p> Signup and view all the answers

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

<p>V = πr²h (D)</p> Signup and view all the answers

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

<p>2000L (A)</p> Signup and view all the answers

What is an example of a constant ratio relationship?

<p>The monthly cost of food purchases in a household increasing at a rate of 7.4% per year. (B)</p> Signup and view all the answers

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

<p>It helps in making predictions and forecasts in real-world applications. (D)</p> Signup and view all the answers

What is the conversion ratio between cubic centimetres and millilitres?

<p>1cm³ = 1ml (B)</p> Signup and view all the answers

What is represented by the flat portion of a graph?

<p>A fixed fee that does not change with usage. (D)</p> Signup and view all the answers

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

<p>10000mm² (B)</p> Signup and view all the answers

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

<p>To analyze the meaning of different portions of a graph in the context of real-world situations. (C)</p> Signup and view all the answers

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

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

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

<p>It has a series of steps. (D)</p> Signup and view all the answers

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

<p>1L (D)</p> Signup and view all the answers

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

<p>To make sense of the situation and reveal patterns and trends that were not visible without the graph. (B)</p> Signup and view all the answers

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

<p>To make calculations more practical and applicable to real-world situations (C)</p> 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?

<p>The surface area formula has more terms (A)</p> Signup and view all the answers

What is an example of a combination of relationships?

<p>The cost of making calls on a cell phone contract with a fixed subscription fee and additional charges for call minutes. (C)</p> Signup and view all the answers

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

<p>To solve problems in real-world contexts (C)</p> Signup and view all the answers

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

<p>A non-joined segment is discontinuous, whereas a joined segment is continuous. (A)</p> Signup and view all the answers

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

<p>To make sense of the situation and reveal patterns and trends that were not visible without the graph. (B)</p> Signup and view all the answers

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

<p>The point where the two graphs intersect, and the values are exactly equal. (B)</p> Signup and view all the answers

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

<p>To use their equations and the process of trial and improvement to find the values at which two relationships are equal. (A)</p> Signup and view all the answers

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

<p>It provides insights into where different systems or scenarios yield the same results. (B)</p> Signup and view all the answers

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

<p>To ensure accurate conversions. (C)</p> Signup and view all the answers

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

<p>Weight (pounds) = Weight (kg) × 2.206 (B)</p> Signup and view all the answers

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

<p>To simplify complex calculations in various contexts such as baking and construction. (C)</p> Signup and view all the answers

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

<p>It allows for estimation of the point of intersection by using equations and the process of trial and improvement. (D)</p> Signup and view all the answers

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

<p>It is essential for analyzing and interpreting data, making decisions, and understanding the implications of different relationships. (D)</p> Signup and view all the answers

What is the primary purpose of using a street map?

<p>To identify locations using symbols and follow directions. (D)</p> Signup and view all the answers

What is the primary advantage of using a strip chart?

<p>It provides more accurate traveling distances on specific sections of a route. (A)</p> Signup and view all the answers

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

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

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

<p>Deciding on the most appropriate route between destinations. (B)</p> Signup and view all the answers

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

<p>To determine distances between major cities and towns. (D)</p> Signup and view all the answers

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

<p>To work with a map that shows a small area with limited detail. (D)</p> 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?

<p>Map measurement to actual distance. (C)</p> Signup and view all the answers

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

<p>To estimate distances when a distance table or distance markers are not provided. (B)</p> Signup and view all the answers

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

<p>To determine the probability of multiple outcomes (B)</p> Signup and view all the answers

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

<p>Ratio format (D)</p> Signup and view all the answers

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

<p>To predict future events based on past data (A)</p> Signup and view all the answers

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

<p>Decimal format (D)</p> Signup and view all the answers

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

<p>The probability calculation takes into account multiple possible outcomes (B)</p> Signup and view all the answers

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

<p>To determine the probability of multiple outcomes (D)</p> Signup and view all the answers

What is the key concept in understanding probability values?

<p>Probability is a prediction of an event occurring (D)</p> Signup and view all the answers

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

<p>To provide different ways of interpreting the probability value (A)</p> Signup and view all the answers

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

<p>To understand the faces and edges of the model (A)</p> Signup and view all the answers

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

<p>To accurately determine and interpret probability values (D)</p> Signup and view all the answers

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

<p>Percentage format (A)</p> Signup and view all the answers

What is the key concept in following instructions for assembly?

<p>Understanding the sequence of steps (A)</p> Signup and view all the answers

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

<p>To avoid errors in assembly (D)</p> Signup and view all the answers

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

<p>To make adjustments as necessary to correct any mistakes (B)</p> Signup and view all the answers

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

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

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

<p>To calculate the total cost of materials required (D)</p> Signup and view all the answers

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

<p>To calculate quantities, costs, and time estimates (C)</p> Signup and view all the answers

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

<p>To avoid errors in assembly and ensure that the components fit together properly (C)</p> Signup and view all the answers

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

<p>It predicts the likelihood of the event occurring (B)</p> Signup and view all the answers

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

<p>To make adjustments as necessary to correct any mistakes or misalignments (C)</p> Signup and view all the answers

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

<p>The graph shows different fees for different time intervals (D)</p> Signup and view all the answers

What is the purpose of drawing graphs for unfamiliar situations?

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

What is an example of a combination of relationships?

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

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

<p>To develop skills and competencies in drawing and interpreting graphs (D)</p> Signup and view all the answers

What is represented by the flat portion of a graph?

<p>A fixed fee that does not change with usage (D)</p> Signup and view all the answers

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

<p>The graph has different portions that represent different relationships (A)</p> Signup and view all the answers

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

<p>Not applicable to this topic (D)</p> Signup and view all the answers

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

<p>Not applicable to this topic (B)</p> Signup and view all the answers

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

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

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

<p>One is characterized by a graph that becomes steeper at an increasing rate, while the other is not (B)</p> 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?

<p>It is a more accurate method than estimating the point of intersection from a graph. (A)</p> 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?

<p>The point where the cost of electricity on the two systems is the same. (C)</p> Signup and view all the answers

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

<p>To make sense of the situation and reveal patterns and trends that were not visible without the graph. (C)</p> Signup and view all the answers

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

<p>It provides insights into where different systems or scenarios yield the same results. (D)</p> Signup and view all the answers

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

<p>°F = (1.8 × °C) + 32 (B)</p> Signup and view all the answers

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

<p>2.206 (A)</p> Signup and view all the answers

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

<p>It is essential in various contexts such as baking and construction. (D)</p> 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?

<p>Substitute different values into the equations to see if they result in the same output. (A)</p> Signup and view all the answers

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

<p>To find an approximate point of intersection when the exact point cannot be determined. (C)</p> Signup and view all the answers

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

<p>It has multiple parts with different slopes. (D)</p> Signup and view all the answers

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

<p>Volume (ml) = (Weight (g) ÷ Conversion Factor) × Conversion Factor for Volume (A)</p> 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?

<p>Liters (l) (B)</p> 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?

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

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

<p>Multiply the minutes by 60 (C)</p> 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?

<p>Convert the minutes and seconds to hours and then add (C)</p> Signup and view all the answers

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

<p>To locate the specific event in the timetable (C)</p> Signup and view all the answers

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

<p>Seconds = Hours × 3600 (A)</p> Signup and view all the answers

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

<p>Subtract the smaller time value from the larger one (D)</p> 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?

<p>To make the calculation more accurate (C)</p> Signup and view all the answers

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

<p>Square meters per liter (m²/l) (D)</p> Signup and view all the answers

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

<p>They do not guarantee outcomes (D)</p> Signup and view all the answers

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

<p>To list all possible outcomes and determine their probabilities (A)</p> Signup and view all the answers

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

<p>A curved line that becomes steeper at an increasing rate (C)</p> Signup and view all the answers

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

<p>To predict the likelihood of future events (B)</p> Signup and view all the answers

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

<p>Multiplying the fraction by 100 (C)</p> Signup and view all the answers

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

<p>To determine the probability of a compound event (A)</p> Signup and view all the answers

What is the key concept in understanding probability values?

<p>They are predictions, not guarantees (B)</p> Signup and view all the answers

What is an example of a compound event?

<p>All of the above (D)</p> Signup and view all the answers

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

<p>A combination of flat and increasing portions (D)</p> Signup and view all the answers

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

<p>It helps to make predictions and understand the uncertainty of outcomes (B)</p> Signup and view all the answers

What is the primary purpose of an elevation plan?

<p>To see the design and dimensions of the outside of a building or structure (D)</p> Signup and view all the answers

What is the key concept for working with plans?

<p>Describe features of a building or structure (B)</p> Signup and view all the answers

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

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

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

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

What is the primary purpose of the models section?

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

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

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

What is the purpose of a design drawing?

<p>To show the design, layout, and components of an item to be constructed or manufactured (B)</p> Signup and view all the answers

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

<p>Understanding 2D plans/nets, building 3D models, and using models to investigate various problems (C)</p> Signup and view all the answers

What is the key concept for design drawings?

<p>Describe the item or object shown on the design plan (D)</p> Signup and view all the answers

What is the primary purpose of a floor plan?

<p>To see the design and dimensions of the inside of a building or structure (D)</p> Signup and view all the answers

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

<p>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. (A)</p> 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?

<p>2.5 km (A)</p> Signup and view all the answers

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

<p>Many factors, such as accurate measurement and location, affect the accuracy of distance calculations. (D)</p> Signup and view all the answers

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

<p>The bar scale is resized proportionally. (C)</p> Signup and view all the answers

What is the purpose of a floor plan?

<p>To show a 2-dimensional perspective of a building or structure as seen from above, without the roof. (B)</p> Signup and view all the answers

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

<p>Map measurement = Actual distance / Scale factor (A)</p> Signup and view all the answers

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

<p>A number scale shows the relationship between the size of the area on the map and the actual size. (D)</p> Signup and view all the answers

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

<p>To convert map measurements to actual distances or vice versa. (B)</p> Signup and view all the answers

What is the primary purpose of a design drawing?

<p>To design and plan the construction of a building or structure. (A)</p> Signup and view all the answers

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

<p>The number scale becomes invalid. (D)</p> Signup and view all the answers

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

<p>To make calculations easier (B)</p> Signup and view all the answers

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

<p>Determining the time elapsed between two events (D)</p> Signup and view all the answers

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

<p>To recognize and use standard units of measurement (A)</p> Signup and view all the answers

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

<p>Using benchmarks to estimate quantities (C)</p> Signup and view all the answers

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

<p>To understand the properties of geometric figures (D)</p> Signup and view all the answers

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

<p>To reflect the accuracy of the data (C)</p> Signup and view all the answers

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

<p>To choose the appropriate tool or method (C)</p> Signup and view all the answers

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

<p>To account for potential errors in measurement and calculation (C)</p> Signup and view all the answers

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

<p>To solve problems involving speed, density, and other rate-based measures (D)</p> Signup and view all the answers

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

<p>To represent real-life objects or distances accurately (D)</p> Signup and view all the answers

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

<p>To determine the total area of all the surfaces of the object (B)</p> Signup and view all the answers

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

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

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

<p>To ensure the correct units are used in the calculations (A)</p> Signup and view all the answers

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

<p>1 cm^3 = 1 ml (A)</p> 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?

<p>V = 15 cm^3 (D)</p> 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?

<p>SA = 52 cm^2 (D)</p> 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?

<p>To ensure the correct units are used in the calculations (D)</p> Signup and view all the answers

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

<p>V = area of base x height (C)</p> Signup and view all the answers

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

<p>To solve problems or make decisions in real-world contexts (C)</p> Signup and view all the answers

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

<p>1 m^3 = 1000 l (A)</p> Signup and view all the answers

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