Gr12 Math Lit: June hard P(2)

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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?

2.86 liters (D) Signup and view all the answers

What is the conversion factor for grams to kilograms?

1 g = 0.001 kg (A) Signup and view all the answers

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

15 ml (B) Signup and view all the answers

What is the purpose of a travel timetable?

To show departure and arrival times for various transport modes (A) Signup and view all the answers

What is the conversion factor for milliliters to liters?

1 ml = 0.001 l (C) Signup and view all the answers

What is the purpose of a fare table?

To show the cost of travel options (C) Signup and view all the answers

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

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

What is the unit of measurement for perimeter?

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

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

Area = π × radius² (B) Signup and view all the answers

What is the purpose of using ratios in building conversions?

To determine the quantities of materials needed for construction projects (D) Signup and view all the answers

What is the conversion for 1 cup?

250 ml (D) Signup and view all the answers

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

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

What is the unit of measurement for volume?

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

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

Perimeter = 4 × side length (B) Signup and view all the answers

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

To convert area to liquid volume (A) Signup and view all the answers

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

To determine how much concrete is needed (D) Signup and view all the answers

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

It remains accurate when the map is resized (B) Signup and view all the answers

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

Obtain real measurements of the area or object to be mapped (B) Signup and view all the answers

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

π × radius² × height (C) Signup and view all the answers

What is the purpose of checking sensibility when calculating volume?

To verify the calculated volume makes sense in the context of the problem (D) Signup and view all the answers

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

Length × breadth × height (D) Signup and view all the answers

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

It becomes inaccurate if the map is resized (D) Signup and view all the answers

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

To interpret distances and dimensions accurately from a scaled representation to real-life measurements (C) Signup and view all the answers

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

Multiply the measurement by the 'real' part of the scale ratio to get the real distance (C) Signup and view all the answers

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

Consider the total volume (D) Signup and view all the answers

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

It remains accurate when the map is resized. (D) 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?

500 cm (C) Signup and view all the answers

What is the main disadvantage of a number scale?

It becomes inaccurate if the map is resized. (A) 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?

20 m (A) Signup and view all the answers

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

To ensure accuracy in the final map. (B) 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?

1 cm (D) Signup and view all the answers

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

It is simpler to calculate distances. (D) 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?

1600 m (B) Signup and view all the answers

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

To ensure accuracy in distance calculations. (A) 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?

5 km (C) Signup and view all the answers

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

100 centimetres (cm) = 1 kilometre (km) (C) Signup and view all the answers

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

To determine the amount of liquid needed to cover a surface (A) Signup and view all the answers

Which type of resource shows stations/stops and routes?

Route Map (C) Signup and view all the answers

What is the conversion factor for milligrams to grams?

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

What is the purpose of using ratios in building conversions?

To determine the quantity of materials needed (C) Signup and view all the answers

What is the conversion factor for litres to kilolitres?

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

What is the purpose of using a travel timetable?

To plan a journey (C) Signup and view all the answers

What is the conversion factor for cubic centimeters to milliliters?

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

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

To determine the cost of the material needed to fill it (D) Signup and view all the answers

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

It remains accurate when the map is resized (D) Signup and view all the answers

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

Identify the shape, use the appropriate formula, convert units if necessary, perform the calculation, and consider the total volume (C) Signup and view all the answers

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

It becomes inaccurate when the map is resized (C) Signup and view all the answers

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

To convert real measurements to scaled measurements (D) Signup and view all the answers

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

π × radius² × height (B) Signup and view all the answers

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

It is simpler to calculate distances (B) Signup and view all the answers

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

To verify the calculated volume makes sense in the context of the problem (D) Signup and view all the answers

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

To interpret distances and dimensions accurately from a scaled representation to real-life measurements (B) Signup and view all the answers

What is the primary purpose of a tide timetable?

To show high and low tide times for seaside locations (B) Signup and view all the answers

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

Multiply by 15 (C) Signup and view all the answers

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

Length of side 1 + length of side 2 + length of side 3 (B) Signup and view all the answers

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

To determine the amount of material needed for a project (D) 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?

3 liters (C) Signup and view all the answers

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

π × radius² (D) Signup and view all the answers

What is the purpose of combining shapes in calculating area?

To break down complex shapes into simpler shapes and calculate each area separately (A) Signup and view all the answers

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

To determine the quantities of materials needed for construction projects (D) Signup and view all the answers

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

2 × (length + width) (C) Signup and view all the answers

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

Cubic units (e.g., mm³, cm³, m³) (D) Signup and view all the answers

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

To interpret distances and dimensions accurately (A) Signup and view all the answers

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

1 unit on the map represents 250 units on the ground (A) Signup and view all the answers

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

It becomes inaccurate if the map is resized (C) 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?

Divide the length of one segment by 100 (C) Signup and view all the answers

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

Obtain real measurements of the area or object to be mapped (C) 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?

40 meters (A) Signup and view all the answers

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

It remains accurate when the map is resized (A) 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?

4 cm (B) Signup and view all the answers

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

To interpret distances and dimensions accurately (C) 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?

0.05 kilometers (A) Signup and view all the answers

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

Multiply by 10 (C) Signup and view all the answers

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

0.5 litres (B) 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?

0.01 kilolitres (D) Signup and view all the answers

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

To determine the quantity of materials needed (D) Signup and view all the answers

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

Multiply by 1,000 (A) Signup and view all the answers

What is the primary purpose of using a travel timetable?

To plan a journey (A) Signup and view all the answers

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

Divide by 1,000 (D) Signup and view all the answers

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

To calculate the volume of paint or other liquid needed (A) Signup and view all the answers

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

Identifying the shape of the object (B) 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?

30m^3 (C) Signup and view all the answers

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

To allow for accurate interpretations of distances and dimensions (C) Signup and view all the answers

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

20πm^3 (B) Signup and view all the answers

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

Obtain real measurements of the area or object (D) Signup and view all the answers

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

A bar scale remains accurate when the map is resized (A) 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?

1.6 km (C) Signup and view all the answers

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

To verify the calculated volume makes sense in the context of the problem (A) 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?

$36,000 (A) Signup and view all the answers

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

To determine the capacity of the container (C) Signup and view all the answers

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

To accurately interpret distances and dimensions from a scaled representation to real-life measurements (D) Signup and view all the answers

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

Draw a rectangle with segments labelled according to the real-life distance (A) Signup and view all the answers

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

It becomes inaccurate if the map is resized (A) Signup and view all the answers

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

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

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

It remains accurate when the map is resized (C) Signup and view all the answers

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

To create a map that is proportional to the real-life measurements (A) Signup and view all the answers

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

To accurately interpret distances and dimensions from a scaled representation to real-life measurements (B) Signup and view all the answers

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

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

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

It only requires one measurement (A) Signup and view all the answers

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

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) Signup and view all the answers

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

To determine the amount of material needed for a project. (B) Signup and view all the answers

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

1/2 × base × height (A) Signup and view all the answers

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

45 ml (D) Signup and view all the answers

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

To determine the cost of travel options and high and low tide times. (C) Signup and view all the answers

What is the conversion factor for cubic meters to liters?

1,000,000 liters (A) Signup and view all the answers

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

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

What is the unit of measurement for volume?

Cubic units (D) Signup and view all the answers

What is the importance of understanding perimeter?

It is crucial for tasks like calculating the amount of material needed for a project. (C) Signup and view all the answers

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

To determine the amount of paint needed for a surface area. (C) Signup and view all the answers

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

length × width (C) Signup and view all the answers

What is the relationship between calculated volume and liquid volume?

Calculated volume can be converted to liquid volume using a spread rate (D) Signup and view all the answers

What is the purpose of using ratios in building conversions?

To determine the quantity of materials needed (C) Signup and view all the answers

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

A travel timetable shows departure and arrival times, while a route map shows routes (D) Signup and view all the answers

What is the conversion factor for milligrams to kilograms?

1,000,000 mg = 1 kg (A) Signup and view all the answers

What is the relationship between area and liquid volume?

Area can be converted to liquid volume using a spread rate (B) Signup and view all the answers

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

To facilitate conversion between different systems of measurement (A) Signup and view all the answers

What is the conversion factor for centimeters to meters?

100 cm = 1 m (B) Signup and view all the answers

What is the purpose of using spread rates in cooking?

To calculate the quantity of ingredients needed (B) Signup and view all the answers

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

To determine the amount of material needed for a project (C) Signup and view all the answers

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

0.5 cups (D) Signup and view all the answers

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

1/2 × base × perpendicular height (C) Signup and view all the answers

What is the primary purpose of using a tide timetable?

To determine the time of high and low tide for seaside locations (A) 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?

5 liters (B) Signup and view all the answers

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

Circumference = 2 × π × radius or Circumference = π × diameter (A) Signup and view all the answers

What is the conversion factor for cubic centimeters to milliliters?

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

What is the primary purpose of using a travel timetable?

To determine the time of departure and arrival for various transport modes (C) Signup and view all the answers

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

π × radius² (D) Signup and view all the answers

What is the conversion factor for milliliters to liters?

1 ml = 0.001 l (D) Signup and view all the answers

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

To accurately interpret distances and dimensions on the map (A) Signup and view all the answers

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

Remains accurate when the map is resized (C) Signup and view all the answers

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

To accurately represent real-life dimensions on the map (D) Signup and view all the answers

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

Becomes inaccurate if the map is resized (C) Signup and view all the answers

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

To accurately interpret distances and dimensions (C) Signup and view all the answers

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

Measure a distance on the map using a ruler or take the provided distance (D) Signup and view all the answers

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

The formula for a rectangular box involves the length, breadth, and height, while the formula for a cylinder involves the radius and height. (C) Signup and view all the answers

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

Choose an appropriate scale that suits the size of the map and the level of detail required (B) Signup and view all the answers

What is the purpose of checking sensibility when calculating volume?

To verify that the calculated volume makes sense in the context of the problem. (A) Signup and view all the answers

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

Simple calculations, only one measurement needed (C) Signup and view all the answers

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

A bar scale remains accurate when the map is resized, while a number scale does not. (B) Signup and view all the answers

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

To create a visual representation of the scale ratio (D) Signup and view all the answers

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

Obtain real measurements of the area or object to be mapped. (A) Signup and view all the answers

What is the primary disadvantage of a bar scale?

Requires measuring the length of a segment and calculating the number of segments (B) Signup and view all the answers

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

To determine how much concrete is needed to fill the foundation. (A) Signup and view all the answers

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

It becomes inaccurate when the map is resized. (C) Signup and view all the answers

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

To interpret distances and dimensions accurately from a scaled representation to real-life measurements. (A) Signup and view all the answers

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

Identify the shape, use the appropriate formula, convert units if necessary, perform the calculation, and consider the total volume. (A) Signup and view all the answers

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

To determine how much a container can hold or how much material is needed to fill it. (A) Signup and view all the answers

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

A bar scale remains accurate when the map is resized, while a number scale does not. (B) Signup and view all the answers

Gr12 Math Lit: June hard P(2)

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Questions and Answers

What is the conversion factor for millimeters to centimeters?

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

What is the conversion factor for cubic meters to kiloliters?

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?

What is the conversion factor for grams to kilograms?

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

What is the purpose of a travel timetable?

What is the conversion factor for milliliters to liters?

What is the purpose of a fare table?

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

What is the unit of measurement for perimeter?

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

What is the purpose of using ratios in building conversions?

What is the conversion for 1 cup?

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

What is the unit of measurement for volume?

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

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

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

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

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

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

What is the purpose of checking sensibility when calculating volume?

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

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

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

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

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

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

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

What is the main disadvantage of a number scale?

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

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

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?

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

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

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

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

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

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

Which type of resource shows stations/stops and routes?

What is the conversion factor for milligrams to grams?

What is the purpose of using ratios in building conversions?

What is the conversion factor for litres to kilolitres?

What is the purpose of using a travel timetable?

What is the conversion factor for cubic centimeters to milliliters?

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

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

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

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

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

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

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

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

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

What is the primary purpose of a tide timetable?

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

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

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

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?

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

What is the purpose of combining shapes in calculating area?

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

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

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

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

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

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

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?

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

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?

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

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

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

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?

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