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

What is the conversion factor for grams to kilograms?

<p>1 g = 0.001 kg (A)</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 (B)</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 (A)</p> Signup and view all the answers

What is the conversion factor for milliliters to liters?

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

What is the purpose of a fare table?

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

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

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

What is the unit of measurement for perimeter?

<p>Length units (mm, cm, m, km) (D)</p> Signup and view all the answers

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

<p>Area = π × radius² (B)</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 (D)</p> Signup and view all the answers

What is the conversion for 1 cup?

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

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

<p>Circumference = π × diameter (C), Circumference = 2 × π × radius (D)</p> Signup and view all the answers

What is the unit of measurement for volume?

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

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

<p>Perimeter = 4 × side length (B)</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 (A)</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 (D)</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 (B)</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 (B)</p> Signup and view all the answers

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

<p>π × radius² × height (C)</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 (D)</p> Signup and view all the answers

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

<p>Length × breadth × height (D)</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 (D)</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 (C)</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 (C)</p> Signup and view all the answers

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

<p>Consider the total volume (D)</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. (D)</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 (C)</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. (A)</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 (A)</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. (B)</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 (D)</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. (D)</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 (B)</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. (A)</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 (C)</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) (C)</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 (A)</p> Signup and view all the answers

Which type of resource shows stations/stops and routes?

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

What is the conversion factor for milligrams to grams?

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

What is the conversion factor for litres to kilolitres?

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

What is the purpose of using a travel timetable?

<p>To plan a journey (C)</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) (C)</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 (D)</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 (D)</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 (C)</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 (C)</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 (D)</p> Signup and view all the answers

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

<p>π × radius² × height (B)</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 (B)</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 (D)</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 (B)</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 (B)</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 (C)</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 (B)</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 (D)</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 (C)</p> Signup and view all the answers

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

<p>π × radius² (D)</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 (A)</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 (D)</p> Signup and view all the answers

What is the formula to calculate the perimeter of a rectangle using formulae?

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

What is the primary purpose of using a travel timetable?

<p>To plan a journey (A)</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 (D)</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 (A)</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 (B)</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 (C)</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 (C)</p> Signup and view all the answers

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

<p>20Ï€m^3 (B)</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 (D)</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 (A)</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 (C)</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 (A)</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 (A)</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 (C)</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 (D)</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 (A)</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 (A)</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 (B)</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 (C)</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 (A)</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 (B)</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 (B)</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 (A)</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 (A)</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. (B)</p> Signup and view all the answers

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

<p>1/2 × base × height (A)</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 (D)</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. (C)</p> Signup and view all the answers

What is the conversion factor for cubic meters to liters?

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

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

<p>2 × π × radius (A), π × diameter (B)</p> Signup and view all the answers

What is the unit of measurement for volume?

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

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

<p>length × width (C)</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 (D)</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 (C)</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 (D)</p> Signup and view all the answers

What is the conversion factor for milligrams to kilograms?

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

What is the conversion factor for centimeters to meters?

<p>100 cm = 1 m (B)</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 (B)</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 (C)</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 (D)</p> Signup and view all the answers

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

<p>1/2 × base × perpendicular height (C)</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 (A)</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 (B)</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 (A)</p> Signup and view all the answers

What is the conversion factor for cubic centimeters to milliliters?

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

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

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

What is the conversion factor for milliliters to liters?

<p>1 ml = 0.001 l (D)</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 (A)</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 (C)</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 (D)</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 (C)</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 (C)</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 (D)</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. (C)</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 (B)</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. (A)</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 (C)</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. (B)</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 (D)</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. (A)</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 (B)</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. (A)</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. (C)</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. (A)</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. (A)</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. (A)</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. (B)</p> Signup and view all the answers

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