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11 Plus (11+) Maths Practice Test: Perimeter and Area (Medium)
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Avg score: 24% Most missed: “A nonagon is a nine-sided shape. What is the perimeter of a regular nonagon if o…”

When dealing with circles, you will need to use π (pi). This is a mathematical constant used to calculate the circumference and the area of circles. Remember it to three decimal places at least.

Here’s pi to 100 decimal places, just in case you'd like to memorise it:
3.141592653589793238462643383279502884197169399375105820974
9445923078164062862089986280348253421170679


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11 Plus (11+) Maths Practice Test: Perimeter and Area (Very Easy)

11 Plus (11+) Maths Practice Test: Perimeter and Area (Easy)

11 Plus (11+) Maths Practice Test: Perimeter and Area (Medium)
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25 Questions

1. The circumference of a circle of radius 7 cm is 44 cm. If the circle is cut in half, what is the length of the perimeter of one of the half circles?
2. Jane is tiling her bathroom wall. The area of the wall is 8 m2. Each tile has an area of 400 cm2. How many tiles will Jane need?
3. The area of a rectangle is 150 cm2. If one side is 50 cm, what is the length of the other side?
4. If you fold a square in half along an axis of symmetry parallel to one of its sides, the area will halve. If you fold the resulting shape in half again along an axis of symmetry parallel to one of its sides, what will happen to its area?
5. What is the area of a circle whose radius is 10 cm (assume π = 3.142)?
6. If the radius of a circle doubles, what will happen to the area?
7. Circle A has an area of 12 cm2. Circle B has a diameter twice that of circle A. What is the area of circle B?
8. The area of a wall is 12 m2. A can of paint can cover an area of 5 m2. How many cans of paint will be required to cover the wall?
9. A heptagon is a seven-sided shape. What is the perimeter of a regular heptagon if one of its sides is of length 19.3 cm?
10. The area of a floor is 25 m2. The floor is to be tiled with tiles whose area is 0.25 m2. How many tiles will be required?
11. The surface area of a cube is 54 cm2. How tall is the cube?
12. If the circumference of a circle is 44 cm, what is its radius (assume that π = 3.142 and round your answer to the nearest whole number)?
13. A right-angled triangle has a side length of 12 cm. How many of these triangles will fit onto a square whose sides are 28 cm long, without overlapping or going over the edge of the square?
14. If the diameter of a circle is 24 cm, what is its circumference (assume that π = 3.142 and round your answer to the nearest whole number)?
15. The area of a right-angled triangle is 108 cm2. If its base is 12 cm, what is its height?
16. A nonagon is a nine-sided shape. What is the perimeter of a regular nonagon if one of its sides is of length 8 cm?
17. If the circumference of a circle is 19 cm, what is its radius (assume that π = 3.142 and round your answer to the nearest whole number)?
18. If the diameter of a circle doubles, what will happen to the area?
19. The area of a square is 64 cm2. What is its perimeter?
20. If the radius of a circle doubles, what will happen to the circumference?
21. The perimeter of a square is 28 cm. What is its area?
22. If the diameter of a circle is 14 cm, what is its circumference (assume that π = 3.142)?
23. If the radius of a circle is 7 cm, what is its circumference (take π = 227)?
24. The area of a right-angled triangle is 225 cm2. If its base is 15 cm, what is its height?
25. A designer is making a pattern with right angled isosceles triangles. The sides that form the right angle in the right angled isosceles triangles are all of side length 6 cm. The designer has a selection of different coloured right angled isosceles triangles which he wishes to stick onto a square whose side length is 72 cm. How many of these coloured triangles will fit onto the square, without overlapping?