Perimeter And Area Quiz: Math Exam!
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Questions and Answers
- 1.
A football pitch measures 6 meters by 12 meters. The groundsman needs to re-turf the whole pitch. How much turf does he need to order?
- A.
36 metres
- B.
72 metres
- C.
36 metres squared
- D.
72 metres squared
Correct Answer
D. 72 metres squaredExplanation
The correct answer is 72 metres squared because the groundsman needs to cover the entire football pitch with turf. To find the area of the pitch, we multiply the length (6 meters) by the width (12 meters), which gives us 72 square meters. Therefore, the groundsman needs to order 72 metres squared of turf.Rate this question:
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- 2.
The groundsman has laid the new turf and now needs to paint the outer rectangle of the pitch. Using the information from question 1, how much paint will he use?
- A.
36 metres
- B.
72 metres
- C.
36 metres squared
- D.
72 metres squared
Correct Answer
A. 36 metresExplanation
The groundsman will use 36 meters of paint to paint the outer rectangle of the pitch. This is because painting the outer rectangle of the pitch only requires painting the four sides of the rectangle, which have a total length of 36 meters.Rate this question:
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- 3.
Jack's rabbit needs 3 meters squared of space to run around. He wants the space to be rectangular. Jack needs to buy wire fencing to keep foxes away from his rabbit. Jack thinks that space will have to be 1 meter by 3 meters. How much wire fencing will he need?
- A.
4 metres
- B.
8 metres
- C.
3 metres squared
- D.
8 metres squared
Correct Answer
B. 8 metresExplanation
Jack wants to create a rectangular space for his rabbit to run around. He believes that the space should be 1 meter by 3 meters. To determine how much wire fencing he needs, we need to calculate the perimeter of the rectangle. The formula for the perimeter of a rectangle is P = 2l + 2w, where l is the length and w is the width. In this case, the length is 3 meters and the width is 1 meter. Plugging these values into the formula, we get P = 2(3) + 2(1) = 6 + 2 = 8 meters. Therefore, Jack will need 8 meters of wire fencing.Rate this question:
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- 4.
Jack's dad thinks a rectangle measuring 6 meters by 0.5 meters will use less wire fencing. Is his dad correct?
- A.
No - because he will use the same amount wire fencing
- B.
Yes - because he will use 6.5 metres of wire fencing
- C.
No - because he will use 13 metres of wire fencing
Correct Answer
C. No - because he will use 13 metres of wire fencingExplanation
Jack's dad is incorrect. The amount of wire fencing needed to enclose a rectangle is determined by the perimeter of the rectangle. The perimeter of a rectangle is calculated by adding up all the sides. In this case, the rectangle measures 6 meters by 0.5 meters, so the perimeter would be (6 + 0.5 + 6 + 0.5) = 13 meters. Therefore, Jack's dad would need 13 meters of wire fencing, not less.Rate this question:
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- 5.
A rectangular room measuring 3.5 meters by 4 meters is to be carpeted. The carpet costs £20 per square meter. What is the cost of the carpet for this room?
- A.
£280
- B.
£150
- C.
£300
Correct Answer
A. £280Explanation
The cost of carpeting a rectangular room can be calculated by multiplying the length and width of the room to get the area, and then multiplying that by the cost per square meter. In this case, the room measures 3.5 meters by 4 meters, giving an area of 14 square meters. Multiplying this by the cost of £20 per square meter gives a total cost of £280.Rate this question:
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- 6.
The carpet from question 5 is cut from a roll 4 wide and the length can only be cut to an exact number of meters. What area of carpet is wasted?
- A.
14 metres squared
- B.
7.5 metres squared
- C.
2 metres squared
Correct Answer
C. 2 metres squaredExplanation
The carpet is cut from a roll that is 4 meters wide, so any length that is not a multiple of 4 will result in wasted carpet. Since the length can only be cut to an exact number of meters, it means that any leftover length less than 4 meters will result in wasted carpet. Therefore, the area of carpet wasted is 2 meters squared.Rate this question:
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- 7.
A picture frame can hold a picture with an area of 0.4 meters squared. If the width of a picture is 50 centimeters, what must its height be to fit the frame?
- A.
8 centimetres
- B.
80 centimetres
- C.
20 centimetres
- D.
2 metres
Correct Answer
B. 80 centimetresExplanation
To find the height of the picture, we can use the formula for the area of a rectangle, which is length times width. In this case, the area is given as 0.4 meters squared and the width is 50 centimeters (which is 0.5 meters). So, we can set up the equation 0.4 = 0.5 * height and solve for height. Dividing both sides by 0.5, we get height = 0.4 / 0.5 = 0.8 meters. Since the height is given in centimeters, we convert 0.8 meters to centimeters by multiplying by 100, giving us a height of 80 centimeters. Therefore, the correct answer is 80 centimeters.Rate this question:
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- 8.
The picture's dimensions are doubled in size. What is the area of the new size?
- A.
0.8 metres squared
- B.
80 metres squared
- C.
16 metres squared
- D.
1.6 metres squared
Correct Answer
D. 1.6 metres squaredExplanation
The correct answer is 1.6 metres squared because when the dimensions of the picture are doubled, the area is multiplied by a factor of 4. So if the original area was 0.4 metres squared, doubling the dimensions would result in an area of 1.6 metres squared.Rate this question:
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- 9.
Anna is painting her front door. The door measures 1.5 meters by 2 meters and has a brass letterbox that measures 30 centimeters by 10 centimeters. How much paint will she need to paint the door?
- A.
2.7 metres squared
- B.
3 metres squared
- C.
2.97 metres squared
- D.
3.03 metres squared
Correct Answer
C. 2.97 metres squaredExplanation
To find the amount of paint needed to paint the door, we need to calculate the total surface area of the door. The door itself has a surface area of 1.5 meters by 2 meters, which is 3 square meters. The brass letterbox has a surface area of 30 centimeters by 10 centimeters, which is 0.3 meters by 0.1 meters, equaling 0.03 square meters. Adding the surface areas of the door and letterbox together, we get 3 + 0.03 = 3.03 square meters. Therefore, Anna will need 2.97 meters squared of paint.Rate this question:
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- 10.
One tin of paint can cover 0.8 meters squared. How many tins will Anna need to paint her front door?
- A.
3 tins
- B.
4 tins
- C.
5 tins
Correct Answer
B. 4 tinsExplanation
Anna needs 4 tins of paint to paint her front door because each tin can cover 0.8 meters squared.Rate this question:
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Current Version
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Mar 21, 2023Quiz Edited by
ProProfs Editorial Team -
Sep 03, 2009Quiz Created by
Marinasymonds
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