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Maths Quiz - Level 3-4 Shapes - Perimeter and Area (Questions)

In your KS3 Maths adventure with shapes, you'll dive into the world of perimeter and area. Perimeter is the total length of a shape's sides, while area is the size of its surface.

Formulas come in handy for finding perimeters and areas. For instance, in a square, the perimeter is its length multiplied by 4, and the area is length multiplied by width.

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When it comes to three-dimensional shapes like cubes, these have area too (which we call 'surface area'). To calculate this, first work out the area of a face, then multiply by the number of faces - 6 for a cube, 4 for a tetrahedron, and so on.

This quiz focuses on the perimeter and area of 2D shapes, especially squares and rectangles. It's a great way to practice calculating perimeters and areas. After this, you might want to challenge yourself with our more advanced quiz, 'Level 5-6 Perimeter and Area 02'.

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1. Which of the following shapes would you not be asked to find the perimeter or area of?
[ ] Rectangle
[ ] Sphere
[ ] Trapezium
[ ] Triangle
2. Which of the following is not a valid measurement for an area?
[ ] 102 m2
[ ] 15 m
[ ] 18 mm2
[ ] 52 cm2
3. To calculate the area of a rectangle it is necessary to multiply the length by the width; how is this formula usually represented?
[ ] A = l x w
[ ] e = mc2
[ ] L = a/w
[ ] W = a/l
4. What is the area of a rectangle with a length of 9 cm and a width of 7 cm?
[ ] 49 cm2
[ ] 54 cm2
[ ] 63 cm2
[ ] 77 cm2
5. What is the perimeter of a rectangle with a length of 28 cm and a width of 16 cm
[ ] 42 cm
[ ] 64 cm
[ ] 74 cm
[ ] 88 cm
6. If a square has sides that are 13 cm long, what is its area?
[ ] 26 cm2
[ ] 52 cm2
[ ] 105 cm2
[ ] 169 cm2
7. A rectangle has a length that is twice its width. If the length is 18 m, what is its perimeter?
[ ] 36 m
[ ] 48 m
[ ] 54 m
[ ] 72 m
8. What is the area of a square that has a length of 15 cm and a width of 16 cm?
[ ] 225 cm2
[ ] 256 cm2
[ ] 240 cm2
[ ] Not a valid question
9. A rectangle is 2 metres long and 88 centimetres wide; what is its area?
[ ] 0.176 metres2
[ ] 1.76 metres2
[ ] 3.52 metres2
[ ] 176 metres2
10. An international football pitch is 105 m x 68 m. What is the area of one half of the pitch?
[ ] 3,570 metres2
[ ] 4,624 metres2
[ ] 7,140 metres2
[ ] 11,025 metres2

You can find more about this topic by visiting BBC Bitesize - Perimeter, Area, Volume

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Maths Quiz - Level 3-4 Shapes - Perimeter and Area (Answers)
1. Which of the following shapes would you not be asked to find the perimeter or area of?
[ ] Rectangle
[x] Sphere
[ ] Trapezium
[ ] Triangle
A sphere is a 3 dimensional shape. Remember that perimeter and area are only associated with 2 dimensional shapes
2. Which of the following is not a valid measurement for an area?
[ ] 102 m2
[x] 15 m
[ ] 18 mm2
[ ] 52 cm2
Area is always spoken of in terms of 'square' units i.e. 18 square millimetres or 52 square centimetres. In the answers above, 15 m is only a length
3. To calculate the area of a rectangle it is necessary to multiply the length by the width; how is this formula usually represented?
[x] A = l x w
[ ] e = mc2
[ ] L = a/w
[ ] W = a/l
Area = length x width
4. What is the area of a rectangle with a length of 9 cm and a width of 7 cm?
[ ] 49 cm2
[ ] 54 cm2
[x] 63 cm2
[ ] 77 cm2
9 x 7 = 63
5. What is the perimeter of a rectangle with a length of 28 cm and a width of 16 cm
[ ] 42 cm
[ ] 64 cm
[ ] 74 cm
[x] 88 cm
(28 x 2) + (16 x 2) = 56 + 32 = 88
6. If a square has sides that are 13 cm long, what is its area?
[ ] 26 cm2
[ ] 52 cm2
[ ] 105 cm2
[x] 169 cm2
13cm x 13cm = 169cm2
7. A rectangle has a length that is twice its width. If the length is 18 m, what is its perimeter?
[ ] 36 m
[ ] 48 m
[x] 54 m
[ ] 72 m
The width of the rectangle must be 9 m
8. What is the area of a square that has a length of 15 cm and a width of 16 cm?
[ ] 225 cm2
[ ] 256 cm2
[ ] 240 cm2
[x] Not a valid question
If the sides are different sizes then it cannot be a square!
9. A rectangle is 2 metres long and 88 centimetres wide; what is its area?
[ ] 0.176 metres2
[x] 1.76 metres2
[ ] 3.52 metres2
[ ] 176 metres2
Don't mix up the metres and centimetres mentioned in the question
10. An international football pitch is 105 m x 68 m. What is the area of one half of the pitch?
[x] 3,570 metres2
[ ] 4,624 metres2
[ ] 7,140 metres2
[ ] 11,025 metres2
105m x 68m = 7,140 metres2 so half the pitch's area is 7,140 metres2 ÷ 2 = 3,570 metres2