Gr12 Math Lit: June medium P(2)
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Gr12 Math Lit: June medium P(2)

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Questions and Answers

What is the conversion factor for millimetres to centimetres?

  • 1 mm = 0.1 cm
  • 1 cm = 0.1 mm
  • 1 mm = 10 cm
  • 1 cm = 10 mm (correct)
  • How do you convert from a larger unit of measurement to a smaller one?

  • Add
  • Subtract
  • Multiply (correct)
  • Divide
  • What is 1 kilolitre equal to?

  • 1000 cubic centimetres
  • 1000 cubic metres
  • 1000 millilitres
  • 1000 litres (correct)
  • How many millilitres are in 1 cup?

    <p>250 ml</p> Signup and view all the answers

    What is 1 cubic metre equal to in liquid volume?

    <p>1 kilolitre</p> Signup and view all the answers

    What type of resource shows departure and arrival times for various transport modes?

    <p>Travel Timetable</p> Signup and view all the answers

    What is the purpose of a spread rate in construction?

    <p>To calculate the volume of paint needed</p> Signup and view all the answers

    What is the conversion factor for milligrams to grams?

    <p>1000 mg = 1 g</p> Signup and view all the answers

    What is the purpose of a fare table?

    <p>To display the cost of travel options</p> Signup and view all the answers

    What is the correct formula to calculate the area of a triangle?

    <p>1/2 × base × perpendicular height</p> Signup and view all the answers

    What is the conversion rate for 1 cup to milliliters?

    <p>250 ml</p> Signup and view all the answers

    How do you calculate the perimeter of a rectangle?

    <p>2 × length + 2 × width</p> Signup and view all the answers

    What is the purpose of a tide timetable?

    <p>To display high and low tide times for seaside locations</p> Signup and view all the answers

    What is the formula to calculate the volume of a 3-dimensional object?

    <p>length × width × height</p> Signup and view all the answers

    How do you calculate the circumference of a circle?

    <p>π × diameter</p> Signup and view all the answers

    What is the purpose of a building conversion?

    <p>To determine the quantities of materials needed for construction projects</p> Signup and view all the answers

    What is the unit of measurement for area?

    <p>cm²</p> Signup and view all the answers

    What is the purpose of estimating lengths and distances?

    <p>To determine the amount of paint needed for a wall or the amount of soil required for a garden bed</p> Signup and view all the answers

    What is the formula to calculate the volume of a cylinder?

    <p>π × radius² × height</p> Signup and view all the answers

    What is the first step in calculating the volume of an object?

    <p>Identify the shape</p> Signup and view all the answers

    What is the purpose of understanding scales in maps and plans?

    <p>To interpret distances and dimensions accurately</p> Signup and view all the answers

    What is the advantage of using a number scale?

    <p>Simple calculations, only one measurement needed</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes inaccurate if the map is resized</p> Signup and view all the answers

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

    <p>length × breadth × height</p> Signup and view all the answers

    What is the purpose of calculating the volume of a foundation?

    <p>To determine how much concrete is needed</p> Signup and view all the answers

    What is the advantage of using a bar scale?

    <p>It remains accurate when the map is resized</p> Signup and view all the answers

    What is the purpose of drawing a scaled map from real dimensions?

    <p>To represent a real-world object or area in a smaller size</p> Signup and view all the answers

    What is the last step in calculating the volume of an object?

    <p>Check sensibility</p> Signup and view all the answers

    What is the purpose of scales in maps and plans?

    <p>To interpret distances and dimensions accurately</p> Signup and view all the answers

    What is the advantage of using a number scale?

    <p>Simple calculations are required, and only one measurement is needed</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes inaccurate if the map is resized</p> Signup and view all the answers

    What is the advantage of using a bar scale?

    <p>It remains accurate when the map is resized because the bar scale resizes proportionally</p> Signup and view all the answers

    What is the purpose of converting real measurements to scaled measurements?

    <p>To draw a scaled map from real dimensions</p> Signup and view all the answers

    What is the first step in determining the scale of a map when given a distance?

    <p>Measure the distance on the map</p> Signup and view all the answers

    What is the second step in creating a bar scale from a number scale?

    <p>Draw a rectangle with segments labelled according to the real-life distance</p> Signup and view all the answers

    What is the purpose of the ratio in creating a bar scale from a number scale?

    <p>To use the ratio to create a visual representation</p> Signup and view all the answers

    How do you calculate the real distance using a number scale?

    <p>Multiply the measurement by the 'real' part of the scale ratio</p> Signup and view all the answers

    What is the second step in using a bar scale?

    <p>Measure the distance on the map in centimetres</p> Signup and view all the answers

    What is the conversion factor for centimetres to metres?

    <p>100 cm = 1 m</p> Signup and view all the answers

    What is the purpose of a spread rate in construction?

    <p>To determine the quantity of paint needed</p> Signup and view all the answers

    What is the conversion factor for cubic metres to litres?

    <p>1 m³ = 1000 l</p> Signup and view all the answers

    What type of resource shows routes and stations for various transport modes?

    <p>Route Map</p> Signup and view all the answers

    What is the conversion factor for kilograms to tonnes?

    <p>1 kg = 0.001 t</p> Signup and view all the answers

    What is the purpose of a travel timetable?

    <p>To show departure and arrival times for various transport modes</p> Signup and view all the answers

    What is the conversion factor for millilitres to litres?

    <p>1 ml = 0.001 l</p> Signup and view all the answers

    What is the purpose of ratios in building constructions?

    <p>To determine the quantity of materials needed</p> Signup and view all the answers

    What is the purpose of understanding perimeter in real-life applications?

    <p>To calculate the amount of material needed for a project</p> Signup and view all the answers

    Which of the following is used to convert area to liquid volume?

    <p>Spread rate</p> Signup and view all the answers

    What is the formula to calculate the circumference of a circle?

    <p>π × diameter</p> Signup and view all the answers

    How do you estimate lengths and distances?

    <p>Using common objects or body measurements</p> Signup and view all the answers

    What is the unit of measurement for volume?

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

    What is the purpose of combining shapes in area calculations?

    <p>To break down complex shapes into simpler shapes and calculate each area separately</p> Signup and view all the answers

    What is the formula to calculate the area of a rectangle?

    <p>Length × width</p> Signup and view all the answers

    What is the purpose of a fare table?

    <p>To show the cost of travel options</p> Signup and view all the answers

    What is the formula to calculate the area of a square?

    <p>Side × side</p> Signup and view all the answers

    What is the purpose of a tide timetable?

    <p>To show high and low tide times for seaside locations</p> Signup and view all the answers

    What is the primary purpose of calculating the volume of a foundation?

    <p>To determine how much concrete is needed</p> Signup and view all the answers

    What is the advantage of using a bar scale in maps and plans?

    <p>It remains accurate even when the map is resized</p> Signup and view all the answers

    What is the correct formula to calculate the volume of a cylinder?

    <p>Volume = π × radius² × height</p> Signup and view all the answers

    Why is it essential to ensure all measurements are in the same units when calculating volume?

    <p>To avoid unit conversion errors</p> Signup and view all the answers

    What is the purpose of checking the sensibility of a calculated volume?

    <p>To verify the calculation is reasonable in the context of the problem</p> Signup and view all the answers

    What is the first step in drawing a scaled map from real dimensions?

    <p>Obtain real measurements of the area or object</p> Signup and view all the answers

    What is the purpose of considering the total volume when dealing with composite shapes?

    <p>To sum the volumes of individual parts</p> Signup and view all the answers

    What is the primary use of number scales in maps and plans?

    <p>To calculate real distances from scaled measurements</p> Signup and view all the answers

    What is the purpose of using scales in maps and plans?

    <p>To interpret distances and dimensions accurately</p> Signup and view all the answers

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

    <p>Volume = length × breadth × height</p> Signup and view all the answers

    What is the primary purpose of using scales in maps and plans?

    <p>To accurately interpret distances and dimensions</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes inaccurate if the map is resized</p> Signup and view all the answers

    How do you determine the scale of a map when given a distance?

    <p>Use the actual distance to set up a ratio and divide both sides by the map measurement</p> Signup and view all the answers

    What is the first step in creating a bar scale from a number scale?

    <p>Convert the number scale into an easily readable segment</p> Signup and view all the answers

    What is the purpose of drawing a scaled map from real dimensions?

    <p>To accurately represent the area or object being mapped</p> Signup and view all the answers

    What is the advantage of using a bar scale?

    <p>It remains accurate when the map is resized because the bar scale resizes proportionally</p> Signup and view all the answers

    What is the purpose of converting real measurements to scaled measurements?

    <p>To accurately represent the area or object being mapped</p> Signup and view all the answers

    How do you use a bar scale to measure a distance on a map?

    <p>Measure how long one segment of the bar is and multiply by the real-life distance</p> Signup and view all the answers

    What is the purpose of setting up a ratio when determining the scale of a map?

    <p>To set up a proportion between the map distance and the real-life distance</p> Signup and view all the answers

    What is the first step in drawing a scaled map from real dimensions?

    <p>Obtain real measurements of the area or object to be mapped</p> Signup and view all the answers

    What is the purpose of using a spread rate in construction?

    <p>To calculate the volume of paint or liquid needed</p> Signup and view all the answers

    What is the conversion factor for milligrams to grams?

    <p>1,000 mg = 1 g</p> Signup and view all the answers

    Which type of resource shows departure and arrival times for various transport modes?

    <p>Travel Timetable</p> Signup and view all the answers

    What is the conversion factor for cubic metres to litres?

    <p>1 m³ = 1,000 l</p> Signup and view all the answers

    What is the purpose of ratios in building constructions?

    <p>To determine the quantity of construction materials needed</p> Signup and view all the answers

    What is the conversion factor for centimetres to metres?

    <p>100 cm = 1 m</p> Signup and view all the answers

    What is the purpose of a travel timetable?

    <p>To plan journeys and estimate travel time</p> Signup and view all the answers

    What is the conversion factor for millilitres to litres?

    <p>1,000 ml = 1 l</p> Signup and view all the answers

    What is the purpose of understanding perimeter in real-life applications?

    <p>To calculate the amount of material needed for a project</p> Signup and view all the answers

    What is the formula to calculate the area of a circle?

    <p>Area = π × radius²</p> Signup and view all the answers

    What is the purpose of a spread rate in construction?

    <p>To determine the quantities of materials needed for construction projects</p> Signup and view all the answers

    What is the formula to calculate the perimeter of a triangle?

    <p>Perimeter = length of side 1 + length of side 2 + length of side 3</p> Signup and view all the answers

    What is the unit of measurement for volume?

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

    What is the purpose of a fare table?

    <p>To show the cost of travel options</p> Signup and view all the answers

    How do you calculate the area of a rectangle?

    <p>Area = length × width</p> Signup and view all the answers

    What is the purpose of a tide timetable?

    <p>To show high and low tide times for seaside locations</p> Signup and view all the answers

    What is the formula to calculate the area of a square?

    <p>Area = side × side</p> Signup and view all the answers

    What is the purpose of ratios in building constructions?

    <p>To determine the quantities of materials needed for construction projects</p> Signup and view all the answers

    What is the formula to calculate the volume of a cylinder?

    <p>Volume = π × radius² × height</p> Signup and view all the answers

    What is the primary purpose of understanding scales in maps and plans?

    <p>To interpret distances and dimensions accurately</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes inaccurate if the map is resized</p> Signup and view all the answers

    What is the first step in calculating the volume of an object?

    <p>Identify the shape</p> Signup and view all the answers

    What is the purpose of drawing a scaled map from real dimensions?

    <p>To create a map that is proportional to the real dimensions</p> Signup and view all the answers

    What is the advantage of using a bar scale?

    <p>It remains accurate when the map is resized</p> Signup and view all the answers

    How do you convert real measurements to scaled measurements?

    <p>By multiplying by the scale ratio</p> Signup and view all the answers

    What is the purpose of calculating the volume of a foundation?

    <p>To determine how much concrete is needed</p> Signup and view all the answers

    What is the last step in calculating the volume of an object?

    <p>Check sensibility</p> Signup and view all the answers

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

    <p>Volume = length × breadth × height</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 expressed as a ratio, while a bar scale is represented graphically</p> Signup and view all the answers

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

    <p>It remains accurate when the map is resized</p> Signup and view all the answers

    What is the first step in determining the scale of a map when given a distance?

    <p>Measure the distance on the map</p> Signup and view all the answers

    What is the purpose of understanding scales in maps and plans?

    <p>To interpret distances and dimensions accurately from a scaled representation to real-life measurements</p> Signup and view all the answers

    How do you calculate the real distance using a number scale?

    <p>Multiply the measurement by the 'real' part of the scale ratio</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes inaccurate if the map is resized</p> Signup and view all the answers

    What is the purpose of creating a bar scale from a number scale?

    <p>To create a visual representation of the scale</p> Signup and view all the answers

    What is the second step in creating a bar scale from a number scale?

    <p>Draw a rectangle with segments labelled according to the real-life distance</p> Signup and view all the answers

    What is the purpose of drawing a scaled map from real dimensions?

    <p>To accurately represent distances and dimensions</p> Signup and view all the answers

    What is the last step in determining the scale of a map when given a distance?

    <p>Divide both sides by the map measurement to get a scale of 1 to the real-life measurement</p> Signup and view all the answers

    What is the conversion factor from millilitres to litres?

    <p>1,000 ml = 1 l</p> Signup and view all the answers

    How do you convert a calculated volume from cubic units to liquid litres?

    <p>Multiply by 1,000</p> Signup and view all the answers

    What is the purpose of a spread rate in construction?

    <p>To determine the volume of paint needed</p> Signup and view all the answers

    What type of resource shows departure and arrival times for various transport modes?

    <p>Travel Timetable</p> Signup and view all the answers

    If you need to convert 500 grams to kilograms, what do you do?

    <p>Divide by 1,000</p> Signup and view all the answers

    What is the conversion factor from centimetres to metres?

    <p>1 cm = 0.01 m</p> Signup and view all the answers

    What is the purpose of ratios in building constructions?

    <p>To calculate the quantity of materials required</p> Signup and view all the answers

    What is the conversion factor from milligrams to grams?

    <p>1,000 mg = 1 g</p> Signup and view all the answers

    What is the primary purpose of calculating the volume of a foundation?

    <p>To determine how much concrete is needed</p> Signup and view all the answers

    What is the formula to calculate the volume of a cylinder?

    <p>π × radius² × height</p> Signup and view all the answers

    Why is it important to convert units when calculating volume?

    <p>To ensure all measurements are in the same units</p> Signup and view all the answers

    What is the advantage of using a bar scale in maps?

    <p>It remains accurate when the map is resized</p> Signup and view all the answers

    What is the purpose of drawing a scaled map from real dimensions?

    <p>To represent real-world dimensions accurately</p> Signup and view all the answers

    What is the last step in calculating the volume of an object?

    <p>Verify the calculated volume makes sense in the context of the problem</p> Signup and view all the answers

    What is the purpose of using scales in maps and plans?

    <p>To interpret distances and dimensions accurately from a scaled representation to real-life measurements</p> Signup and view all the answers

    What is the purpose of a fare table?

    <p>To show the cost of travel options</p> Signup and view all the answers

    What is the formula to calculate the perimeter of a square?

    <p>Perimeter = 4 × side</p> Signup and view all the answers

    What is the first step in calculating the volume of an object?

    <p>Identify the shape of the object</p> Signup and view all the answers

    What is the purpose of understanding perimeter?

    <p>To determine the amount of material needed for a project</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes inaccurate if the map is resized</p> Signup and view all the answers

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

    <p>length × breadth × height</p> Signup and view all the answers

    What is the formula to calculate the area of a triangle?

    <p>Area = 1/2 × base × perpendicular height</p> Signup and view all the answers

    What is the purpose of a tide timetable?

    <p>To show high and low tide times for seaside locations</p> Signup and view all the answers

    How do you estimate lengths and distances?

    <p>Using common objects or body measurements</p> Signup and view all the answers

    What is the formula to calculate the area of a circle?

    <p>Area = π × radius²</p> Signup and view all the answers

    What is the purpose of combining shapes?

    <p>To calculate the area of a complex shape</p> Signup and view all the answers

    What is the purpose of a building conversion?

    <p>To determine the quantities of materials needed for construction projects</p> Signup and view all the answers

    What is the formula to calculate the volume of a 3-dimensional object?

    <p>Volume = length × width × height</p> Signup and view all the answers

    What is the primary purpose of a scale in a map or plan?

    <p>To represent distances accurately</p> Signup and view all the answers

    Which type of scale remains accurate when the map is resized?

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

    What is the first step in determining the scale of a map when given a distance?

    <p>Measure the distance on the map</p> Signup and view all the answers

    What is the advantage of using a number scale?

    <p>It allows for simple calculations</p> Signup and view all the answers

    What is the first step in creating a bar scale from a number scale?

    <p>Convert the number scale into an easily readable segment</p> Signup and view all the answers

    What is the purpose of converting real measurements to scaled measurements?

    <p>To draw a scaled map from real dimensions</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes inaccurate if the map is resized</p> Signup and view all the answers

    What is the purpose of drawing a scaled map from real dimensions?

    <p>To accurately represent distances and dimensions</p> Signup and view all the answers

    What is the second step in using a bar scale?

    <p>Calculate how many segments of the bar it represents</p> Signup and view all the answers

    What is the ratio used for when creating a bar scale from a number scale?

    <p>To create a visual representation of the scale</p> Signup and view all the answers

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