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Maths Quiz - Perimeter and Area (Year 5) (Questions)

Year 5 perimeter and area explore measuring the outside edges and inside space of shapes. Pupils practise applying these skills to solve everyday and mathematical problems.

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(quiz starts below)

Fascinating Fact:

The surface area of the Moon is about 38 million km², which is smaller than the total area of Asia.

In KS2 Maths, Year 5 pupils develop their understanding of perimeter and area by working with rectangles, compound shapes, and word problems. These skills link maths directly to real-life applications.

  • Compound shape: A shape made up of two or more simple shapes, such as rectangles or triangles.
  • Perimeter: The total distance around the outside of a shape, measured by adding all its sides.
  • Area: The size of the surface inside a flat, two-dimensional shape, measured in square units.
What is the difference between area and perimeter?

Area measures the space inside a shape, while perimeter measures the distance around its outside edges. Both use different units, like cm² for area and cm for perimeter.

How do you find the perimeter of a compound shape?

To find the perimeter of a compound shape, measure each outside edge and add them together. Ensure you only count the outer sides, not internal lines.

How do you calculate the area of a rectangle?

The area of a rectangle is found by multiplying its length by its width. The answer is expressed in square units, such as cm² or m².

1. What is the formula for calculating the perimeter of a rectangle?
[ ] 2 x length x 2 x width
[ ] 2 x length + 2 x width
[ ] Length + width
[ ] Length x width
2. What is the formula for calculating the perimeter of a regular hexagon?
[ ] 4 x length of side
[ ] 6 x length of side
[ ] 6 x length + width
[ ] Length of side divided by 6
3. What is the perimeter of a regular pentagon with sides of 5cm?
[ ] 24cm
[ ] 100cm
[ ] 10cm
[ ] 25cm
4. A rectangle has a perimeter of 38cm. The shortest sides are 7cm. What length are the two longest sides?
[ ] 12cm
[ ] 14cm
[ ] 21cm
[ ] 28cm
5. A regular hexagon has a perimeter of 54cm. What is the length of the sides?
[ ] 6cm
[ ] 9cm
[ ] 12cm
[ ] 20cm
6. What is the formula for calculating the area of a rectangle?
[ ] 2 x length x 2 x width
[ ] 2 x length + 2 x width
[ ] Length + width
[ ] Length x width
7. Which would be a suitable unit to measure the area of a chunk of chocolate?
[ ] Square grams
[ ] Square metres
[ ] Square millimetres
[ ] Square millilitres
8. Which would be a good estimate of the area of a classroom?
[ ] 1,000mm2
[ ] 100mm2
[ ] 10m2
[ ] 100m2
9.

Which would be best measured in cm2?

[ ] Area of a playground
[ ] Area of a town
[ ] Area of a desk top
[ ] Area of a pen tip
10. How many cm2 is equivalent to 1m2?
[ ] 10cm2
[ ] 100cm2
[ ] 1,000cm2
[ ] 10,000cm2

You can find more about this topic by visiting BBC Bitesize - What is the perimeter?

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Maths Quiz - Perimeter and Area (Year 5) (Answers)
1. What is the formula for calculating the perimeter of a rectangle?
[ ] 2 x length x 2 x width
[x] 2 x length + 2 x width
[ ] Length + width
[ ] Length x width
2 sides of a rectangle are one length whilst the other two sides are a different length, for example 2 sides are 4cm long and the other 2 sides are 6cm long. This rectangle would have a perimeter of 20cm
2. What is the formula for calculating the perimeter of a regular hexagon?
[ ] 4 x length of side
[x] 6 x length of side
[ ] 6 x length + width
[ ] Length of side divided by 6
As a regular hexagon has 6 equal sides, just multiply the length of the sides by 6
3. What is the perimeter of a regular pentagon with sides of 5cm?
[ ] 24cm
[ ] 100cm
[ ] 10cm
[x] 25cm
A pentagon has 5 sides, therefore 5 x 5cm will give you the perimeter
4. A rectangle has a perimeter of 38cm. The shortest sides are 7cm. What length are the two longest sides?
[x] 12cm
[ ] 14cm
[ ] 21cm
[ ] 28cm
2 x 7 = 14
38 - 14 = 24
24 ÷ 2 = 12
5. A regular hexagon has a perimeter of 54cm. What is the length of the sides?
[ ] 6cm
[x] 9cm
[ ] 12cm
[ ] 20cm
A regular hexagon has 6 equal sides. To calculate the length of each side, divide the perimeter by 6
6. What is the formula for calculating the area of a rectangle?
[ ] 2 x length x 2 x width
[ ] 2 x length + 2 x width
[ ] Length + width
[x] Length x width
If a rectangle measured 7cm by 10cm its area would be 70cm2
7. Which would be a suitable unit to measure the area of a chunk of chocolate?
[ ] Square grams
[ ] Square metres
[x] Square millimetres
[ ] Square millilitres
Grams measure weight and millilitres measure volume. Square metres measure area but chocolate bars aren't that big!
8. Which would be a good estimate of the area of a classroom?
[ ] 1,000mm2
[ ] 100mm2
[ ] 10m2
[x] 100m2
10m2 would be large enough for a room in a house but not big enough for a classroom
9.

Which would be best measured in cm2?

[ ] Area of a playground
[ ] Area of a town
[x] Area of a desk top
[ ] Area of a pen tip
Towns might be measured in km2, playgrounds in m2 and pen tips in mm2
10. How many cm2 is equivalent to 1m2?
[ ] 10cm2
[ ] 100cm2
[ ] 1,000cm2
[x] 10,000cm2
There are 100cm in 1m so 100 x 100 = 10,000