Gr12 Math Lit: Ch 4 Sum Mesurement
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Questions and Answers

If 1 kilometre is equal to 1,000 metres, how many millimetres are in 1 kilometre?

  • 100,000
  • 10,000
  • 1,000,000 (correct)
  • 1,000

What is the conversion factor for 1 litre of volume?

  • 10 millilitres
  • 1,000 kilograms
  • 100 millilitres
  • 1,000 millilitres (correct)

To convert a larger unit of weight to a smaller unit, what operation should you perform?

  • Subtract
  • Add
  • Divide
  • Multiply (correct)

What is the conversion factor for 1 cup in cooking?

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

If 1 cubic metre is equal to 1 kilolitre, what is the conversion factor for 1 cubic centimetre?

<p>1 millilitre (B)</p> Signup and view all the answers

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

<p>To determine the volume of the liquid needed (A)</p> Signup and view all the answers

What type of resource is used to plan journeys and shows departure and arrival times for various transport modes?

<p>Travel Timetables (A)</p> Signup and view all the answers

What is used to determine quantities needed for construction materials?

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

What is the primary reason for calculating volume?

<p>To determine the capacity of a container (D)</p> Signup and view all the answers

What is the formula for calculating the volume of a cylinder?

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

What step should be performed before calculating the volume of an object?

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

Why is it necessary to convert units if necessary?

<p>To ensure accurate calculations (D)</p> Signup and view all the answers

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

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

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

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

What is the formula for calculating the volume of a rectangular box?

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

Why is it important to calculate the volume of individual parts of a composite shape?

<p>To determine the total volume of the shape (C)</p> Signup and view all the answers

What is the purpose of a fare table?

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

What is the conversion for 1 cup in millilitres?

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

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

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

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

<p>Millimetres, centimetres, meters, or kilometres (D)</p> Signup and view all the answers

What is the purpose of a tide timetable?

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

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

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

What is the importance of knowing how to calculate perimeter?

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

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

<p>To convert area to liquid volume (D)</p> Signup and view all the answers

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

<p>Circumference = 2 × π × radius (A)</p> Signup and view all the answers

What is the conversion factor for 1 kilometre?

<p>1,000 metres (B), 10,000 millimetres (C), All of the above (D)</p> Signup and view all the answers

How do you convert to a smaller unit of measurement?

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

What is the conversion factor for 1 kilolitre?

<p>1,000 millilitres (C)</p> Signup and view all the answers

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

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

What type of resource is used to plan journeys and shows routes?

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

What is the conversion factor for 1 cubic centimetre?

<p>1 millilitre (B)</p> Signup and view all the answers

How do you convert to a larger unit of measurement?

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

What is used to determine quantities needed for construction materials?

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

Which conversion guide is used for length, volume, and weight?

<p>Multiply to convert to a smaller unit, divide to convert to a larger unit. (D)</p> Signup and view all the answers

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

<p>Perimeter = side 1 + side 2 + side 3 (D)</p> Signup and view all the answers

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

<p>Square centimetres (cm²) (B)</p> Signup and view all the answers

Why is it important to understand perimeter and area?

<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 area of a rectangle?

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

What is the purpose of combining shapes in area calculations?

<p>To simplify complex shapes into smaller parts (C)</p> Signup and view all the answers

What is the unit of measurement for the volume of a liquid?

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

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

<p>Circumference = 2 × π × radius (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 material is needed to fill it (D)</p> Signup and view all the answers

Why is it important to estimate lengths and distances?

<p>To make practical measurements when exact values are unknown (D)</p> Signup and view all the answers

What should you do when dealing with composite shapes?

<p>Break them down into simpler shapes and calculate the volume of each part (D)</p> Signup and view all the answers

What is the purpose of a tide timetable?

<p>To provide high and low tide times for seaside locations (D)</p> Signup and view all the answers

Why is it important to convert units if necessary when calculating volume?

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

What should you do after applying the measurements to the formula?

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

What is the formula for calculating the volume of a cylinder?

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

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

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

What should you do before calculating the volume of an object?

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

What is the purpose of calculating the volume of individual parts of a composite shape?

<p>To determine the total volume of the shape (D)</p> Signup and view all the answers

What is the conversion factor for 1000 centimetres in terms of metres?

<p>1 m (B)</p> Signup and view all the answers

What is the conversion factor for 1 kilolitre in terms of cubic metres?

<p>1 m³ (D)</p> Signup and view all the answers

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

<p>To calculate the volume of a liquid needed to cover a surface (A)</p> Signup and view all the answers

What type of time-based resource is used to plan journeys and shows departure and arrival times for various transport modes?

<p>Travel Timetables (C)</p> Signup and view all the answers

What is the conversion factor for 1000 milligrams in terms of grams?

<p>1 g (A)</p> Signup and view all the answers

What is the conversion factor for 1 cubic centimetre in terms of millilitres?

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

What is the purpose of using ratios in building construction?

<p>To determine the quantities needed for construction materials (D)</p> Signup and view all the answers

What is the conversion factor for 1 teaspoon in terms of millilitres?

<p>5 ml (C)</p> Signup and view all the answers

What is the primary reason for calculating the volume of a 3-dimensional object?

<p>To determine the capacity of the object and the amount of material needed to fill it (B)</p> Signup and view all the answers

What is the correct formula to use when calculating the volume of a rectangular box?

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

What should be done when dealing with composite shapes?

<p>Break the shape down into simpler shapes and calculate the volume of each part separately (B)</p> Signup and view all the answers

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

<p>To determine the amount of concrete needed to fill the foundation (B)</p> Signup and view all the answers

Why is it important to convert units when necessary when calculating volume?

<p>To ensure all measurements are in the same units before performing calculations (D)</p> Signup and view all the answers

What should be done after applying the measurements to the formula?

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

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

<p>To determine how much material is needed to fill the container (A)</p> Signup and view all the answers

What is the correct formula to use when calculating the volume of a cylinder?

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

What is the relationship between the perimeter and the area of a shape?

<p>The perimeter is always proportional to the area. (B)</p> Signup and view all the answers

If a recipe requires 2 cups of flour, and you only have a 250 ml measuring cup, how much flour should you use?

<p>500 ml (A)</p> Signup and view all the answers

What is the formula for calculating the volume of a rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 2 cm?

<p>V = 5 × 3 × 2 (B)</p> Signup and view all the answers

If you are building a rectangular garden with a perimeter of 20 meters, and you want to enclose the garden with fencing, how much fencing will you need?

<p>20 meters (B)</p> Signup and view all the answers

What is the formula for calculating the area of a triangle with a base of 5 cm and a height of 6 cm?

<p>A = 1/2 × 5 × 6 (D)</p> Signup and view all the answers

If you are planning a trip and want to know the distance between two cities, what type of resource would you use?

<p>Travel timetable (C)</p> Signup and view all the answers

What is the conversion factor for 1 cubic meter in milliliters?

<p>1,000,000 ml (C)</p> Signup and view all the answers

What is the formula for calculating the perimeter of a circle?

<p>P = 2 × π × radius (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 convert area to liquid volume (C)</p> Signup and view all the answers

What is the formula for calculating the area of a square with a side length of 4 cm?

<p>A = 4^2 (B)</p> Signup and view all the answers

A recipe requires 3 cups of flour. How many millilitres of flour are needed?

<p>375 ml (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 (A)</p> Signup and view all the answers

A construction project requires 2.5 kilolitres of concrete. How many cubic metres is this?

<p>2.5 m³ (A)</p> Signup and view all the answers

What is the primary purpose of breaking down composite shapes into simpler shapes?

<p>To calculate the total volume more easily (A)</p> Signup and view all the answers

How do you convert from a smaller unit of measurement to a larger unit of measurement?

<p>Divide by the conversion factor (D)</p> Signup and view all the answers

A water container has a volume of 4.2 litres. What is its volume in cubic centimetres?

<p>4,200 cm³ (B)</p> Signup and view all the answers

A city is planning to build a new road that is 5 kilometres long. How many metres is this?

<p>500,000 m (C)</p> Signup and view all the answers

What is the purpose of a fare table?

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

When calculating the volume of a foundation, what formula should be used?

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

What is the formula for calculating the area of a triangle?

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

What is the primary reason for verifying the calculated volume?

<p>To make sense in the context of the problem (A)</p> Signup and view all the answers

A paint can covers 7 square metres per litre. How many litres are needed to cover a surface of 35 square metres?

<p>3.5 l (C)</p> Signup and view all the answers

What should be done when dealing with multiple objects or composite shapes?

<p>Calculate the total volume by summing the individual volumes (C)</p> Signup and view all the answers

A travel timetable shows a train journey that takes 3 hours and 15 minutes. What is the total time in minutes?

<p>195 minutes (B)</p> Signup and view all the answers

What is the importance of knowing how to calculate perimeter and area?

<p>It is necessary for determining the amount of material needed for a project (D)</p> Signup and view all the answers

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

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

A building requires 3 tonnes of cement. How many kilograms is this?

<p>30,000 kg (D)</p> Signup and view all the answers

What is crucial for determining the capacity of containers?

<p>The volume of the container (B)</p> Signup and view all the answers

What is the formula for calculating the perimeter of a rectangle?

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

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

<p>To determine how much material is needed to fill it (D)</p> Signup and view all the answers

A liquid has a volume of 250 millilitres. What is its volume in litres?

<p>0.25 l (A)</p> Signup and view all the answers

What is necessary for calculating the volume of an object?

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

What is the purpose of a tide timetable?

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

What should be done before calculating the volume of an object?

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

What is the conversion factor for 1 cup in cooking?

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

What is the formula for calculating the area of a circle?

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

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