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Math: Middle School: Grades 6, 7 and 8 Quiz - Perimeter and Area 2 (Questions)

This Math quiz is called 'Perimeter and Area 2' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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The perimeter of a shape is the distance around its edge. To work out the perimeter of a hexagon multiply the length of one of its sides by 6. If its sides are 2 meters long its perimeter would be 12 meters. The area is the size of the surface. Knowing the area of a wall is important if you are planning to give it a lick of paint - otherwise how will you know how many tins of paint to buy?!

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 meters
[ ] Square millimeters
[ ] Square milliliters
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
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Math: Middle School: Grades 6, 7 and 8 Quiz - Perimeter and Area 2 (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 meters
[x] Square millimeters
[ ] Square milliliters
Grams measure weight and milliliters measure volume. Square meters 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 = 1,000