Gr12 Math Lit: Term test 2
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Questions and Answers

How many millilitres are equivalent to 1 litre?

  • 500 ml
  • 5,000 ml
  • 1,000 ml (correct)
  • 100 ml

What is the conversion factor to convert from centimetres to millimetres?

  • 1 cm = 5,000 mm
  • 1 cm = 10 mm
  • 1 cm = 100 mm (correct)
  • 1 cm = 1,000 mm

How many grams are equivalent to 1 kilogram?

  • 1,000 g (correct)
  • 5,000 g
  • 500 g
  • 100 g

What is the conversion factor to convert from cubic centimetres to millilitres?

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

What is the purpose of a spread rate in construction?

<p>To determine the quantity of paint needed to cover a surface. (A)</p> Signup and view all the answers

What is the purpose of a ratio in construction?

<p>To determine the quantity of materials needed for construction. (B)</p> Signup and view all the answers

What type of resource shows departure and arrival times for various transport modes?

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

What is the conversion factor to convert from kilometres to metres?

<p>1 km = 1,000 m (D)</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

If you want to convert a larger unit to a smaller unit, what operation should you perform?

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

What is the conversion factor for 1 cup in milliliters?

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

How do you calculate the perimeter of a rectangle?

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

What is the formula for the area of a triangle?

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

What is the purpose of understanding perimeter in real-life applications?

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

What is the formula for the circumference of a circle?

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

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

<p>Using the formula specific to the shape (A)</p> Signup and view all the answers

What is the conversion factor for 1 cm³ to milliliters?

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

Why is estimating lengths and distances important in real-life applications?

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

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

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

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

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

What is the purpose of understanding scales in maps and plans?

<p>To interpret distances and dimensions accurately (A)</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 formula for calculating the volume of a rectangular box?

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

Why is it important to verify the calculated volume?

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

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

<p>Obtain real measurements (B)</p> Signup and view all the answers

What is the purpose of using a number scale in maps?

<p>To represent distances and dimensions accurately (A)</p> Signup and view all the answers

What happens to a bar scale when the map is resized?

<p>It resizes proportionally (C)</p> Signup and view all the answers

Why is it important to break down composite shapes into simpler shapes?

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

What is the purpose of scales in maps and plans?

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

What is the ratio of a number scale expressed as 1:50?

<p>1 unit on the map represents 50 units on the ground (A)</p> Signup and view all the answers

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

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

What is the advantage of using a bar scale?

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

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

<p>Measure the distance on the map and set up a ratio with the real-life distance (A)</p> Signup and view all the answers

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

<p>Obtain real measurements (D)</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 (A)</p> Signup and view all the answers

What is the disadvantage of using a number scale?

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

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

<p>Measure the length of a segment and multiply by the number of segments (A)</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 (D)</p> Signup and view all the answers

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

<p>1 mm = 0.0001 km (B)</p> Signup and view all the answers

A recipe requires 2 cups of liquid. How many millilitres of liquid is this?

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

What is the purpose of understanding metric conversions in real-life applications?

<p>To make accurate measurements and conversions (B)</p> Signup and view all the answers

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

<p>1 cm³ = 0.001 l (D)</p> Signup and view all the answers

What type of resource shows stations/stops and routes?

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

What is the purpose of using a ratio in construction?

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

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

<p>1,000,000 g = 1 t (B)</p> Signup and view all the answers

What is the purpose of using 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 primary purpose of a tide timetable?

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

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

<p>4 × side (D)</p> Signup and view all the answers

What is the conversion factor for 1 tablespoon (tbsp) in milliliters?

<p>15 ml (B)</p> Signup and view all the answers

What is the primary purpose of a fare table?

<p>To show the cost of travel options (B)</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 primary purpose of understanding perimeter?

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

What is the conversion factor for 1 cubic meter (m³) to liters?

<p>1,000 l (B)</p> Signup and view all the answers

What is the primary purpose of using a spread rate in construction?

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

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

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

What is the primary purpose of estimating lengths and distances?

<p>To make real-life measurements and calculations (C)</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 (C)</p> Signup and view all the answers

Which of the following is a step in calculating the volume of a composite shape?

<p>Break down the shape into simpler shapes (B)</p> Signup and view all the answers

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

<p>It's more accurate when the map is resized (B)</p> Signup and view all the answers

What is the purpose of using a number scale in maps?

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

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

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

Why is it important to consider the total volume when calculating the volume of multiple objects?

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

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

<p>Obtain real measurements (A)</p> Signup and view all the answers

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

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

Why is it important to verify the calculated volume?

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

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

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

What is the purpose of using scales in 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 disadvantage of using a number scale?

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

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

<p>Measure the distance on the map, use the actual real-life distance to set up a ratio, convert both measurements to the same unit, and divide both sides by the map measurement (A)</p> Signup and view all the answers

What is the advantage of using a bar scale?

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

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

<p>Measure how long one segment of the bar is, measure the distance on the map, calculate how many segments of the bar it represents, and multiply the number of segments by the real-life distance represented by each segment (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 (C)</p> Signup and view all the answers

What is the ratio of a number scale expressed as 1:50?

<p>1 unit on the map represents 50 units on the ground (C)</p> Signup and view all the answers

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

<p>Measure the distance on the map and multiply it by the 'real' part of the scale ratio (B)</p> Signup and view all the answers

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

<p>To use the ratio to create a visual representation (A)</p> Signup and view all the answers

If you want to convert a smaller unit to a larger unit, what operation should you perform?

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

What is the purpose of a spread rate in construction?

<p>To determine the quantity of paint needed for a surface (C)</p> Signup and view all the answers

If you want to convert 1,000 grams to a larger unit, what is the resulting unit?

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

What is the conversion factor for 1 kilolitre?

<p>1,000 litres (B)</p> Signup and view all the answers

What type of resource shows the departure and arrival times for various transport modes?

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

If you want to convert 1,000 millilitres to a larger unit, what is the resulting unit?

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

What is the purpose of using ratios in construction?

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

What is the conversion factor for 1 cubic centimetre?

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

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

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

What is the purpose of using area in real-life applications?

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

What is the conversion factor to convert from cubic meters to liters?

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

How do you calculate the perimeter of a triangle?

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

What is the purpose of using perimeter in real-life applications?

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

What is the conversion factor to convert from milliliters to liters?

<p>1,000 milliliters (B)</p> Signup and view all the answers

How do you estimate the perimeter of a shape?

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

What is the purpose of using volume in real-life applications?

<p>To calculate the amount of space inside a 3-dimensional object (C)</p> Signup and view all the answers

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

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

What is the conversion factor to convert from teaspoons to milliliters?

<p>1 teaspoon = 5 milliliters (A)</p> Signup and view all the answers

What is the primary step in calculating the volume of a composite shape?

<p>Calculate the volume of each part separately and then sum them up (C)</p> Signup and view all the answers

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

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

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

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

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

<p>It is more accurate when the map is resized (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 (C)</p> Signup and view all the answers

What is the purpose of verifying the calculated volume?

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

What is the type of scale represented graphically on a map?

<p>Bar scale (C)</p> Signup and view all the answers

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

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

What is the disadvantage of using a number scale?

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

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

<p>To calculate the volume of each part separately (A)</p> Signup and view all the answers

What is the primary purpose of using scales in 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 advantage of using a bar scale over a number scale?

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

What is the disadvantage of using a number scale?

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

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

<p>Convert the number scale into an easily readable segment (A)</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 (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 (C)</p> Signup and view all the answers

What is the ratio of a number scale expressed as 1:50?

<p>1 unit on the map represents 50 units on the ground (A)</p> Signup and view all the answers

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

<p>Measure the distance on the map and multiply by the scale (D)</p> Signup and view all the answers

What is the advantage of using a number scale?

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

What is the correct conversion factor to convert from millilitres to litres?

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

A recipe requires 3 teaspoons of a spice. How many millilitres of the spice is this?

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

What is the correct conversion factor to convert from cubic centimetres to millilitres?

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

What is the primary purpose of a spread rate in construction?

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

A building project requires a ratio of 3:2:1 for cement, sand, and stone. What is the primary purpose of this ratio?

<p>To determine the quantity of each material needed (A)</p> Signup and view all the answers

What is the primary purpose of a route map?

<p>To show the stations/stops and routes (A)</p> Signup and view all the answers

What is the correct conversion factor to convert from kilograms to tonnes?

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

What is the primary purpose of a travel timetable?

<p>To show the departure and arrival times for various transport modes (B)</p> Signup and view all the answers

What is the formula to calculate the perimeter of a triangle with three sides of different lengths?

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

A rectangular garden measures 10 meters by 5 meters. What is the perimeter of the garden?

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

What is the formula to calculate the area of a circle with a radius of 4 cm?

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

A triangular shape has a base of 6 cm and a height of 8 cm. What is the area of the triangle?

<p>48 cm² (A)</p> Signup and view all the answers

What is the purpose of a spread rate in construction?

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

A recipe requires 3 teaspoons of a ingredient. How many milliliters of the ingredient is this?

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

What is the formula to calculate the volume of a rectangular box with a length of 5 cm, a width of 3 cm, and a height of 2 cm?

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

What is the conversion factor to convert from cubic meters to liters?

<p>1 cubic meter = 1,000 liters (C)</p> Signup and view all the answers

What is the primary reason for breaking down composite shapes into simpler shapes?

<p>To simplify the calculation of the volume (D)</p> Signup and view all the answers

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

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

What is the purpose of a tide timetable?

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

What is the formula to calculate the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

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

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

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

What is the primary purpose of verifying the calculated volume?

<p>To ensure accuracy in calculations (C)</p> Signup and view all the answers

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

<p>40π cm³ (B)</p> Signup and view all the answers

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

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

What is the primary disadvantage of using a number scale?

<p>It becomes inaccurate 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 (A)</p> Signup and view all the answers

What is the primary purpose of converting real measurements to scaled measurements?

<p>To create a scaled representation of the area (D)</p> Signup and view all the answers

What is the primary purpose of using a scale in map representation?

<p>To accurately represent real-life distances and dimensions (A)</p> Signup and view all the answers

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

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

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

<p>Measure the distance on the map and set up a ratio with the real-life distance (A)</p> Signup and view all the answers

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

<p>To create a visual representation of the scale ratio (B)</p> Signup and view all the answers

What is the disadvantage of using a number scale?

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

What is the purpose of using a ratio in creating a bar scale?

<p>To create a ratio that can be used to convert real-life distances to scaled distances (B)</p> Signup and view all the answers

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

<p>It is simpler to calculate (C)</p> Signup and view all the answers

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

<p>Measure the length of a segment on the bar scale and calculate the number of segments (A)</p> Signup and view all the answers

What is the purpose of understanding scales in maps and plans?

<p>To accurately represent real-life distances and dimensions (A)</p> Signup and view all the answers

What is the correct conversion factor to convert from centimetres to kilometres?

<p>1 km = 100,000,000 cm (B)</p> Signup and view all the answers

What is the purpose of understanding cooking conversions in real-life applications?

<p>To determine the correct amount of ingredients (A)</p> Signup and view all the answers

What is the correct conversion factor to convert from millilitres to kilolitres?

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

What is the purpose of using a spread rate in construction?

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

What is the correct conversion factor to convert from milligrams to tonnes?

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

What is the purpose of using a route map in travel?

<p>To show stations/stops and routes (C)</p> Signup and view all the answers

What is the correct conversion factor to convert from cubic centimetres to millilitres?

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

What is the purpose of using a travel timetable in travel?

<p>To show departure and arrival times (C)</p> Signup and view all the answers

What is the primary purpose of using a ratio in construction projects?

<p>To determine the amount of materials needed (A)</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 (D)</p> Signup and view all the answers

What is the conversion factor to convert from cubic centimetres to millilitres?

<p>1:1000 (D)</p> Signup and view all the answers

What is the purpose of estimating lengths and distances in real-life applications?

<p>To make accurate calculations and measurements (A)</p> Signup and view all the answers

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

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

What is the conversion factor to convert from millilitres to litres?

<p>1:1000 (B)</p> Signup and view all the answers

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

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

What is the purpose of using a spread rate in construction projects?

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

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

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

What is the primary purpose of using a bar scale in a map?

<p>To provide a visual representation of the scale (D)</p> Signup and view all the answers

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

<p>Obtaining real measurements (C)</p> Signup and view all the answers

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

<p>It requires less complex calculations (A)</p> Signup and view all the answers

What is the primary purpose of using a scale in a map?

<p>To allow for accurate interpretation of distances and dimensions (B)</p> Signup and view all the answers

What is the disadvantage of using a bar scale?

<p>It requires more complex calculations (B)</p> Signup and view all the answers

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

<p>To convert the number scale into a more easily readable segment (D)</p> Signup and view all the answers

When determining the scale of a map, what is the first step?

<p>Measure the distance on the map (C)</p> Signup and view all the answers

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

<p>It requires less complex calculations (B)</p> Signup and view all the answers

What happens to a bar scale when the map is resized?

<p>It remains accurate (B)</p> Signup and view all the answers

What is the primary purpose of using a scale in a plan?

<p>To allow for accurate interpretation of distances and dimensions (C)</p> Signup and view all the answers

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

<p>To determine the amount of material needed to fill the cylinder (D)</p> Signup and view all the answers

When working with a rectangular box, what is the correct order of steps to calculate the volume?

<p>Identify the shape, convert units, perform the calculation, and check sensibility (D)</p> Signup and view all the answers

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

<p>It remains accurate when the map is resized (B)</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 the map is proportional to the real area (B)</p> Signup and view all the answers

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

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

What is the primary purpose of using a scale in maps and plans?

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

What is the correct step to calculate the volume of a composite shape?

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

What is the primary purpose of verifying the calculated volume?

<p>To ensure the calculation is accurate (B)</p> Signup and view all the answers

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

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

What is the primary advantage of using a number scale in maps?

<p>It is simpler to perform calculations (A)</p> Signup and view all the answers

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