Gr12 Math Lit: June mix P(2)

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What is the conversion factor for millimetres to centimetres?

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

How do you convert to a smaller unit of measurement?

Divide
Subtract
Add
Multiply (correct)

What is the conversion factor for millilitres to litres?

2000 ml = 1 l
500 ml = 1 l
100 ml = 1 l
1000 ml = 1 l (correct)

What is the relationship between cubic centimetres and millilitres?

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

What is the purpose of a spread rate in calculating the volume of paint or other liquid needed?

To calculate the volume of liquid needed to cover a surface (B) Signup and view all the answers

What is the primary purpose of travel timetables?

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

What is the conversion factor for grams to kilograms?

1000 g = 1 kg (D) Signup and view all the answers

What is the relationship between a tablespoon and millilitres?

1 tbsp = 15 ml (B) Signup and view all the answers

What is the main purpose of a fare table?

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

How do you convert to a smaller unit of length?

Multiply (D) Signup and view all the answers

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

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

What is the conversion for 1 cup in milliliters?

1 cup = 250 ml (C) Signup and view all the answers

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

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

What is the main purpose of a tide timetable?

To show high and low tide times (D) Signup and view all the answers

How do you convert to a larger unit of weight?

Divide (A) Signup and view all the answers

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

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

Why is understanding perimeter important?

For determining the amount of material needed for a project (B) Signup and view all the answers

What is the unit of measurement for the perimeter of a shape?

Millimeters, centimeters, meters, or kilometers (D) Signup and view all the answers

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

Volume = π × radius² × height (A) Signup and view all the answers

What is the purpose of converting units when calculating volume?

To ensure all measurements are in the same units (D) Signup and view all the answers

What type of scale is expressed as a ratio, such as 1:50?

Number scale (D) Signup and view all the answers

What is the advantage of using a bar scale?

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 (C) Signup and view all the answers

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

Volume = length × breadth × height (C) Signup and view all the answers

Why do we need to check the sensibility of the calculated volume?

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

What is the purpose of identifying the shape of an object when calculating its volume?

To choose the appropriate formula (B) Signup and view all the answers

What is the disadvantage of using a number scale?

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

What is the purpose of breaking down composite shapes into simpler shapes when calculating volume?

To calculate the volume of each part separately and then sum them up (A) Signup and view all the answers

What is the primary purpose of using scales on maps?

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

What is a number scale expressed as?

A ratio, such as 1:50 (C) Signup and view all the answers

How do you use a number scale to find the real distance?

Multiply the map measurement by the scale ratio (C) Signup and view all the answers

What is an advantage of using a bar scale?

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

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

Measure the distance on the map and use the actual real-life distance to set up a ratio (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 (B) Signup and view all the answers

How do you create a bar scale from a number scale?

Convert the number scale into an easily readable segment and draw a rectangle with labelled segments (B) Signup and view all the answers

What is a disadvantage of using a number scale?

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

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

To provide a visual representation of distances (D) Signup and view all the answers

Why is it important to understand and use scales correctly on maps?

To ensure accuracy in distance and dimension measurements (D) 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 triangle?

Perimeter = length of side 1 + length of side 2 + length of side 3 (C) Signup and view all the answers

What is the unit of measurement for the area of a shape?

Square centimetres (cm²) (B) Signup and view all the answers

Why is understanding perimeter important in practical applications?

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 circle?

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

How can you estimate lengths and distances?

Using common objects or body measurements (C) Signup and view all the answers

What is the purpose of breaking down complex shapes into simpler shapes when calculating area?

To make the calculation easier and more accurate (D) Signup and view all the answers

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

Volume = length × width × height (A) Signup and view all the answers

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

All of the above (D) Signup and view all the answers

What is the purpose of using a spread rate in calculating the volume of paint or other liquid needed?

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

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

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

When creating a bar scale from a number scale, what is the first step?

Convert the number scale into an easily readable segment (D) Signup and view all the answers

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

Bar scales remain accurate when the map is resized (D) Signup and view all the answers

What is the primary purpose of calculating the volume of an object?

To determine the capacity of the object (C) 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 correct order of steps to calculate the volume of an object?

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

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

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

How do you use a number scale to find the real distance?

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

What is the disadvantage of using a number scale?

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

What is the purpose of using scales on maps?

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

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

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

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

To provide a visual representation of distances (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 (B) Signup and view all the answers

What is the purpose of breaking down composite shapes into simpler shapes when calculating volume?

To calculate the volume of each part separately and then sum them up (B) Signup and view all the answers

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

Convert the number scale into an easily readable segment (D) 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 (C) Signup and view all the answers

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

Number scales are simpler to calculate (A) Signup and view all the answers

What is the primary application of calculating the volume of foundations?

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

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

Volume = length × breadth × height (C) Signup and view all the answers

What is the conversion factor for milligrams to grams?

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

What is the purpose of conversion guides in measurements?

To convert to a smaller unit, multiply, and to convert to a larger unit, divide. (D) Signup and view all the answers

What is the conversion factor for cubic centimetres to millilitres?

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

What is the purpose of route maps in travel planning?

To show stations/stops and routes. (A) Signup and view all the answers

What is the conversion factor for kilograms to tonnes?

1,000 kilograms (kg) = 1 tonne (t) (C) Signup and view all the answers

What is the purpose of spread rates in calculating the volume of paint or other liquid needed?

To determine the amount of paint or liquid needed to cover a surface. (D) Signup and view all the answers

What is the conversion factor for litres to kilolitres?

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

What is the purpose of building conversions in construction?

To determine the quantities needed for construction materials. (B) Signup and view all the answers

What is the conversion factor to change from millimetres to kilometres?

1 km = 1,000,000 mm (A) Signup and view all the answers

A recipe requires 500 ml of milk. How many cups is this?

2 cups (C) Signup and view all the answers

What is the conversion factor to change from cubic centimetres to litres?

1 cm³ = 0.001 l (B) Signup and view all the answers

A builders' ratio for mixing cement, sand, and stone is 1:2:4. What does this mean?

For every 1 part cement, use 2 parts sand and 4 parts stone (A) Signup and view all the answers

What is the primary purpose of a route map?

To show the route and stops for different modes of transport (C) Signup and view all the answers

A surface area to be painted has a spread rate of 5 m² per litre. If the area is 25 m², how many litres of paint are required?

5 litres (D) Signup and view all the answers

What is the conversion factor to change from grams to tonnes?

1 t = 1,000,000 g (C) Signup and view all the answers

What is the primary purpose of a tide timetable?

To show the height of the tide at different times (D) Signup and view all the answers

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

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

Why is it important to check the sensibility of the calculated volume?

To verify the calculation makes sense in the context of the problem (B) Signup and view all the answers

What is the primary purpose of using scales on maps?

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

What is the disadvantage of using a number scale?

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

How do you use a bar scale to find the real distance?

Measure how long one segment of the bar is, then measure the distance on the map, and finally calculate how many segments of the bar it represents (B) Signup and view all the answers

What is the purpose of breaking down composite shapes into simpler shapes when calculating volume?

To calculate the volume of each part separately and then sum them up (D) Signup and view all the answers

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

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

What is the purpose of identifying the shape of an object when calculating its volume?

To identify the appropriate formula to use (B) Signup and view all the answers

What is an advantage of using a bar scale?

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

What is the purpose of a conversion guide in measurements?

To help convert between smaller and larger units of measurement (C) Signup and view all the answers

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

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

How can you estimate lengths and distances?

Using common objects or body measurements (B) Signup and view all the answers

What is the unit of measurement for the area of a shape?

Square centimeters (cm²) (B) Signup and view all the answers

Why is understanding perimeter important in practical applications?

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

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

Area = length × width (D) Signup and view all the answers

How do you calculate the volume of a 3-dimensional object?

By multiplying the length, width, and height (C) Signup and view all the answers

What is the purpose of breaking down complex shapes into simpler shapes when calculating area?

To make the calculation simpler and more accurate (D) Signup and view all the answers

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

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

What is the purpose of using a spread rate in calculating the volume of paint or other liquid needed?

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

What is the purpose of using scales on maps?

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

What is the advantage of using a bar scale?

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

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

Measure the distance on the map and use the actual real-life distance to set up a ratio (B) Signup and view all the answers

What is the disadvantage of using a number scale?

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

How do you create a bar scale from a number scale?

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

What is the advantage of using a number scale?

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

Why is understanding and using scales correctly on maps important?

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

How do you use a number scale to find the real distance?

Measure the distance on the map and multiply by the scale ratio (D) Signup and view all the answers

What is a number scale expressed as?

A ratio, such as 1:50 (C) Signup and view all the answers

What is the primary purpose of identifying the shape of an object before calculating its volume?

To determine the most appropriate formula to use. (D) Signup and view all the answers

A rectangular box has a length of 3 meters, a breadth of 2 meters, and a height of 1 meter. What is its volume?

6 cubic meters (A) Signup and view all the answers

Why is it important to check the sensibility of the calculated volume?

To verify the calculation is accurate. (A) Signup and view all the answers

What is the most efficient way to convert a large quantity of millilitres to kilolitres?

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

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

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

A recipe requires 500 grams of flour. How many kilograms of flour are needed?

0.5 kg (D) Signup and view all the answers

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

40π cubic centimeters (C) Signup and view all the answers

What is the primary purpose of using a spread rate when calculating the volume of paint or other liquid needed?

To determine how much paint is needed for a given area (C) Signup and view all the answers

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

Choose an appropriate scale. (D) Signup and view all the answers

What is the conversion factor for converting centimetres to metres?

Divide by 100 (B) Signup and view all the answers

What is the primary purpose of using scales on maps?

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

What is the purpose of travel timetables and route maps?

To plan journeys and determine routes (D) Signup and view all the answers

Why do we need to ensure all measurements are in the same units before calculating volume?

To prevent errors in calculation. (B) Signup and view all the answers

What is the first step in using a bar scale to find the real distance?

Measure the length of one segment of the bar. (C) Signup and view all the answers

What is the conversion factor for converting millilitres to litres?

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

What is the purpose of breaking down composite shapes into simpler shapes when calculating volume?

To calculate the volume of each part separately. (B) Signup and view all the answers

What is the primary purpose of building conversions?

To determine the quantity of materials needed for construction (A) Signup and view all the answers

What is the purpose of calculated volume to liquid volume conversions?

To convert calculated volumes to everyday units (B) Signup and view all the answers

What is the ratio of the real-life distance to the map distance if a map has a number scale of 1:200?

200:1 (A) Signup and view all the answers

A map has a scale of 1:5000. If a distance on the map is 5 cm, what is the real-life distance?

25000 m (A) 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 (B) Signup and view all the answers

To draw a scaled map from real dimensions, what is the second step?

Choose an appropriate scale (B) Signup and view all the answers

How do you create a bar scale from a number scale?

Convert the number scale into an easily readable segment and draw a rectangle with segments labelled according to the real-life distance (A) Signup and view all the answers

What is the primary purpose of using scales on maps?

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

What is the disadvantage of using a number scale?

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

To determine the scale of a map when given a distance, what is the third step?

Convert both measurements to the same unit (C) Signup and view all the answers

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

To provide a visual representation of the scale ratio (A) Signup and view all the answers

Why is it important to understand and use scales correctly on maps?

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

What is the primary purpose of understanding perimeter and area in practical applications?

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

Which of the following shapes has a perimeter that can be calculated using the formula: 2 × (length + width)?

Rectangle (C) Signup and view all the answers

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

Cubic units (D) Signup and view all the answers

Which of the following is an example of estimating lengths and distances?

Using the width of a hand to estimate centimeters (B) Signup and view all the answers

What is the purpose of breaking down complex shapes into simpler shapes when calculating area?

To simplify the calculation and add the individual areas together (B) Signup and view all the answers

Which of the following is an example of a calculated volume to liquid volume conversion?

Converting cubic centimeters to milliliters (A) 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 (D) Signup and view all the answers

Which of the following is an example of a conversion guide?

Multiply to convert to a smaller unit, divide to convert to a larger unit (C) Signup and view all the answers

What is the purpose of using a spread rate in calculating the volume of paint or other liquid needed?

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

Which of the following shapes has an area that can be calculated using the formula: 1/2 × base × perpendicular height?

Triangle (C) Signup and view all the answers

Gr12 Math Lit: June mix P(2)

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Questions and Answers

What is the conversion factor for millimetres to centimetres?

How do you convert to a smaller unit of measurement?

What is the conversion factor for millilitres to litres?

What is the relationship between cubic centimetres and millilitres?

What is the purpose of a spread rate in calculating the volume of paint or other liquid needed?

What is the primary purpose of travel timetables?

What is the conversion factor for grams to kilograms?

What is the relationship between a tablespoon and millilitres?

What is the main purpose of a fare table?

How do you convert to a smaller unit of length?

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

What is the conversion for 1 cup in milliliters?

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

What is the main purpose of a tide timetable?

How do you convert to a larger unit of weight?

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

Why is understanding perimeter important?

What is the unit of measurement for the perimeter of a shape?

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

What is the purpose of converting units when calculating volume?

What type of scale is expressed as a ratio, such as 1:50?

What is the advantage of using a bar scale?

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

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

Why do we need to check the sensibility of the calculated volume?

What is the purpose of identifying the shape of an object when calculating its volume?

What is the disadvantage of using a number scale?

What is the purpose of breaking down composite shapes into simpler shapes when calculating volume?

What is the primary purpose of using scales on maps?

What is a number scale expressed as?

How do you use a number scale to find the real distance?

What is an advantage of using a bar scale?

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

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

How do you create a bar scale from a number scale?

What is a disadvantage of using a number scale?

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

Why is it important to understand and use scales correctly on maps?

What is the purpose of a fare table?

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

What is the unit of measurement for the area of a shape?

Why is understanding perimeter important in practical applications?

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

How can you estimate lengths and distances?

What is the purpose of breaking down complex shapes into simpler shapes when calculating area?

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

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

What is the purpose of using a spread rate in calculating the volume of paint or other liquid needed?

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

When creating a bar scale from a number scale, what is the first step?

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

What is the primary purpose of calculating the volume of an object?

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

What is the correct order of steps to calculate the volume of an object?

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

How do you use a number scale to find the real distance?

What is the disadvantage of using a number scale?

What is the purpose of using scales on maps?

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

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

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

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

What is the purpose of breaking down composite shapes into simpler shapes when calculating volume?

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

What is the purpose of checking sensibility when calculating volume?

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

What is the primary application of calculating the volume of foundations?

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

What is the conversion factor for milligrams to grams?

What is the purpose of conversion guides in measurements?

What is the conversion factor for cubic centimetres to millilitres?

What is the purpose of route maps in travel planning?

What is the conversion factor for kilograms to tonnes?

What is the purpose of spread rates in calculating the volume of paint or other liquid needed?

What is the conversion factor for litres to kilolitres?

What is the purpose of building conversions in construction?