Gr12 Math Lit: June hard P(2)
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Questions and Answers

What is the conversion factor for millimeters to centimeters?

  • 1000 mm = 1 cm
  • 1 mm = 0.1 cm
  • 100 mm = 1 cm
  • 10 mm = 1 cm (correct)

    • If a recipe calls for 2 cups of liquid, how many milliliters is this?

  • 250 ml
  • 500 ml (correct)
  • 750 ml
  • 1000 ml

    • What is the conversion factor for cubic meters to kiloliters?

  • 1 m³ = 0.001 kl
  • 1 m³ = 1 kl (correct)
  • 1 m³ = 0.01 kl
  • 1 m³ = 0.1 kl

    • A surface area of 20 square meters needs to be painted. If the spread rate is 7 square meters per liter, how much paint is needed?

    <p>2.86 liters</p> Signup and view all the answers

    What is the conversion factor for grams to kilograms?

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

    If a recipe calls for 3 teaspoons of an ingredient, how many milliliters is this?

    <p>15 ml</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 milliliters to liters?

    <p>1 ml = 0.001 l</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 rectangle?

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

    What is the unit of measurement for perimeter?

    <p>Length units (mm, cm, m, km)</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 using ratios in building conversions?

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

    What is the conversion for 1 cup?

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

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

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

    What is the unit of measurement for volume?

    <p>Cubic units (mm³, cm³, m³, etc.)</p> Signup and view all the answers

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

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

    What is the purpose of using a spread rate in area to liquid volume conversions?

    <p>To convert area to liquid volume</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 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 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 formula to calculate the volume of a cylinder?

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

    What is the purpose of checking sensibility when calculating volume?

    <p>To verify the calculated volume makes sense in the context of the problem</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 disadvantage of using a number scale on a map?

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

    What is the purpose of using scales on 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 second step in using a number scale on a map?

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

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

    <p>Consider the total volume</p> Signup and view all the answers

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

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

    A map has a scale of 1:100. If a distance on the map is 5 cm, what is the actual distance in reality?

    <p>500 cm</p> Signup and view all the answers

    What is the main disadvantage of a number scale?

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

    A bar scale has segments labelled in meters. If one segment is 2 cm long, what is the actual distance represented by each segment?

    <p>20 m</p> Signup and view all the answers

    What is the purpose of converting real measurements to scaled measurements when drawing a scaled map?

    <p>To ensure accuracy in the final map.</p> Signup and view all the answers

    A map has a scale of 1:500. If the actual distance between two points is 5 km, what is the distance between the two points on the map?

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

    What is the advantage of using a number scale when working with maps?

    <p>It is simpler to calculate distances.</p> Signup and view all the answers

    A distance on a map is 8 cm. If the scale of the map is 1:200, what is the actual distance in reality?

    <p>1600 m</p> Signup and view all the answers

    What is the purpose of determining the scale of a map when given a distance?

    <p>To ensure accuracy in distance calculations.</p> Signup and view all the answers

    A bar scale has segments labelled in kilometers. If one segment is 5 cm long, what is the actual distance represented by each segment?

    <p>5 km</p> Signup and view all the answers

    Which of the following is NOT a metric conversion factor for length?

    <p>100 centimetres (cm) = 1 kilometre (km)</p> Signup and view all the answers

    What is the purpose of using a spread rate in area to liquid volume conversions?

    <p>To determine the amount of liquid needed to cover a surface</p> Signup and view all the answers

    Which type of resource shows stations/stops and routes?

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

    What is the conversion factor for milligrams to grams?

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

    What is the purpose of using ratios in building conversions?

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

    What is the conversion factor for litres to kilolitres?

    <p>1,000 litres (l) = 1 kilolitre (kl)</p> Signup and view all the answers

    What is the purpose of using a travel timetable?

    <p>To plan a journey</p> Signup and view all the answers

    What is the conversion factor for cubic centimeters to milliliters?

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

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

    <p>To determine the cost of the material needed to fill it</p> Signup and view all the answers

    When using a bar scale on a map, what is the primary advantage over a number scale?

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

    What is the correct order of steps in calculating the volume of an object?

    <p>Identify the shape, use the appropriate formula, convert units if necessary, perform the calculation, and consider the total volume</p> Signup and view all the answers

    What is the primary disadvantage of using a number scale on a map?

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

    When drawing a scaled map from real dimensions, what is the purpose of obtaining real measurements?

    <p>To convert real measurements to scaled measurements</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

    When using a number scale on a map, what is the primary advantage over a bar scale?

    <p>It is simpler to calculate distances</p> Signup and view all the answers

    What is the purpose of checking sensibility when calculating the volume of an object?

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

    When working with maps and plans, what is the primary purpose of using scales?

    <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 primary purpose of a tide timetable?

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

    If a recipe calls for 3 teaspoons of an ingredient, how would you convert this to milliliters?

    <p>Multiply by 15</p> Signup and view all the answers

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

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

    What is the primary purpose of calculating the area of a shape?

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

    If a surface area of 15 square meters needs to be painted, and the spread rate is 5 square meters per liter, how much paint is needed?

    <p>3 liters</p> Signup and view all the answers

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

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

    What is the purpose of combining shapes in calculating area?

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

    What is the primary purpose of using conversions in building projects?

    <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 rectangle using formulae?

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

    What is the unit of measurement for the volume of a 3-dimensional object?

    <p>Cubic units (e.g., mm³, cm³, m³)</p> Signup and view all the answers

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

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

    If a map has a scale of 1:250, what does this mean?

    <p>1 unit on the map represents 250 units on the ground</p> Signup and view all the answers

    What is the disadvantage of using a number scale on a map?

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

    If a bar scale has segments labelled in meters, and one segment is 3 cm long, how do you calculate the actual distance represented by each segment?

    <p>Divide the length of one segment by 100</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

    If a distance on a map is 10 cm, and the scale of the map is 1:400, what is the actual distance in reality?

    <p>40 meters</p> Signup and view all the answers

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

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

    If a map has a scale of 1:200, and a real-life distance is 4 km, what is the distance on the map?

    <p>4 cm</p> Signup and view all the answers

    What is the primary purpose of determining the scale of a map when given a distance?

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

    If a bar scale has segments labelled in kilometers, and one segment is 5 cm long, what is the actual distance represented by each segment?

    <p>0.05 kilometers</p> Signup and view all the answers

    What is the conversion factor to convert 10 millimetres to a larger unit of measurement?

    <p>Multiply by 10</p> Signup and view all the answers

    A recipe calls for 500 millilitres of liquid. What is the equivalent volume in litres?

    <p>0.5 litres</p> Signup and view all the answers

    A surface area of 50 square meters needs to be painted. If the spread rate is 7 square meters per litre, how much paint is needed in kilolitres?

    <p>0.01 kilolitres</p> Signup and view all the answers

    What is the primary purpose of using ratios in building conversions?

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

    What is the conversion factor to convert 1 kilogram to a smaller unit of measurement?

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

    What is the primary purpose of using a travel timetable?

    <p>To plan a journey</p> Signup and view all the answers

    What is the conversion factor to convert 1 cubic meter to a larger unit of measurement?

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

    What is the purpose of using a spread rate in area to liquid volume conversions?

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

    What is the most critical step in calculating the volume of an object?

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

    A rectangular box has a length of 5m, a breadth of 3m, and a height of 2m. What is its volume?

    <p>30m^3</p> Signup and view all the answers

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

    <p>To allow for accurate interpretations of distances and dimensions</p> Signup and view all the answers

    A cylinder has a radius of 2m and a height of 5m. What is its volume?

    <p>20πm^3</p> Signup and view all the answers

    When drawing a scaled map from real dimensions, what is the first step?

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

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

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

    A map has a scale of 1:250. If a distance on the map is 4 cm, what is the actual distance in reality?

    <p>1.6 km</p> Signup and view all the answers

    When calculating the volume of an object, what is the purpose of checking sensibility?

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

    A foundation requires 120m^3 of concrete. If the cost of concrete is $300 per cubic meter, how much will it cost to fill the foundation?

    <p>$36,000</p> Signup and view all the answers

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

    <p>To determine the capacity of the container</p> Signup and view all the answers

    What is the main purpose of using scales on maps and plans?

    <p>To accurately interpret distances and dimensions from a scaled representation to real-life measurements</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 disadvantage of using a number scale on a map?

    <p>It becomes inaccurate if 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 advantage of using a bar scale over a number scale?

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

    What is the purpose of converting real measurements to scaled measurements when drawing a scaled map?

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

    What is the primary purpose of determining the scale of a map when given a distance?

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

    What is the second step in using a bar scale on a map?

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

    What is the primary advantage of using a number scale on a map?

    <p>It only requires one measurement</p> Signup and view all the answers

    What is the purpose of choosing an appropriate scale when drawing a scaled map?

    <p>To create a map that is proportional to the real-life measurements and suits the size of the map and the level of detail required</p> Signup and view all the answers

    What is the primary purpose of calculating the perimeter of a shape?

    <p>To determine 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 triangle?

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

    If a recipe calls for 3 tablespoons of an ingredient, how many milliliters is this?

    <p>45 ml</p> Signup and view all the answers

    What is the purpose of using fare tables and tide timetables?

    <p>To determine the cost of travel options and high and low tide times.</p> Signup and view all the answers

    What is the conversion factor for cubic meters to liters?

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

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

    <p>2 × π × radius</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 importance of understanding perimeter?

    <p>It is crucial for tasks like calculating the amount of material needed for a project.</p> Signup and view all the answers

    What is the purpose of using a spread rate in area to liquid volume conversions?

    <p>To determine the amount of paint needed for a surface area.</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 relationship between calculated volume and liquid volume?

    <p>Calculated volume can be converted to liquid volume using a spread rate</p> Signup and view all the answers

    What is the purpose of using ratios in building conversions?

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

    What is the difference between a travel timetable and a route map?

    <p>A travel timetable shows departure and arrival times, while a route map shows routes</p> Signup and view all the answers

    What is the conversion factor for milligrams to kilograms?

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

    What is the relationship between area and liquid volume?

    <p>Area can be converted to liquid volume using a spread rate</p> Signup and view all the answers

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

    <p>To facilitate conversion between different systems of measurement</p> Signup and view all the answers

    What is the conversion factor for centimeters to meters?

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

    What is the purpose of using spread rates in cooking?

    <p>To calculate the quantity of ingredients needed</p> Signup and view all the answers

    What is the primary purpose of calculating the perimeter of a shape?

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

    If a recipe calls for 250 ml of liquid, how many cups is this?

    <p>0.5 cups</p> Signup and view all the answers

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

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

    What is the primary purpose of using a tide timetable?

    <p>To determine the time of high and low tide for seaside locations</p> Signup and view all the answers

    If a garden bed has an area of 25 m², and the spread rate of soil is 5 m² per liter, how many liters of soil are needed?

    <p>5 liters</p> Signup and view all the answers

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

    <p>Circumference = 2 × π × radius or Circumference = π × diameter</p> Signup and view all the answers

    What is the conversion factor for cubic centimeters to milliliters?

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

    What is the primary purpose of using a travel timetable?

    <p>To determine the time of departure and arrival for various transport modes</p> Signup and view all the answers

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

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

    What is the conversion factor for milliliters to liters?

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

    What is the primary purpose of determining the scale of a map when given a distance?

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

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

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

    What is the purpose of converting real measurements to scaled measurements when drawing a scaled map?

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

    What is the main disadvantage of using a number scale on a map?

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

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

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

    What is the first step in using a number scale on a map?

    <p>Measure a distance on the map using a ruler or take the provided distance</p> Signup and view all the answers

    What is the main difference between a rectangular box and a cylinder in terms of calculating volume?

    <p>The formula for a rectangular box involves the length, breadth, and height, while the formula for a cylinder involves the radius and height.</p> Signup and view all the answers

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

    <p>Choose an appropriate scale that suits the size of the map and the level of detail required</p> Signup and view all the answers

    What is the purpose of checking sensibility when calculating volume?

    <p>To verify that the calculated volume makes sense in the context of the problem.</p> Signup and view all the answers

    What is the primary advantage of using a number scale when working with maps?

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

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

    <p>A bar scale remains accurate when the map is resized, while a number scale does not.</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 ratio</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 primary disadvantage of a bar scale?

    <p>Requires measuring the length of a segment and calculating the number of segments</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 to fill the foundation.</p> Signup and view all the answers

    What is the main disadvantage of using a number scale on a map?

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

    What is the purpose of using scales on 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 correct order of steps in calculating the volume of an object?

    <p>Identify the shape, use the appropriate formula, convert units if necessary, perform the calculation, and consider the total volume.</p> Signup and view all the answers

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

    <p>To determine how much a container can hold or how much material is needed to fill it.</p> Signup and view all the answers

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

    <p>A bar scale remains accurate when the map is resized, while a number scale does not.</p> Signup and view all the answers

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