Grades 6, 7 and 8 | Math | Middle School | Shapes

Back to Math: Middle School: Grades 6, 7 and 8

Math: Middle School: Grades 6, 7 and 8 Quiz - Shapes - Perimeter and Area 1 (Questions)

This Math quiz is called 'Shapes - Perimeter and Area 1' 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.

It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us

In this Math quiz we look at area and perimeter; mainly shapes such as squares and rectangles to give you some easy practice in the subject.

Which of the following is not a 2 dimensional shape?

[ ]	Rectangle
[ ]	Sphere
[ ]	Trapezium
[ ]	Triangle

Which of the following is not a valid measurement for an area?

[ ]	102 m²
[ ]	15 m
[ ]	18 mm²
[ ]	52 cm²

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

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

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

If a square has sides that are 13 cm long, what is its area?

[ ]	26 cm²
[ ]	52 cm²
[ ]	105 cm²
[ ]	169 cm²

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

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

A rectangle is 2 meters long and 88 centimeters wide; what is its area?

[ ]	0.176 meters²
[ ]	1.76 meters²
[ ]	3.52 meters²
[ ]	176 meters²

10.

An international soccer pitch is 105 m x 68 m. What is the area of one half of the pitch?

[ ]	3,570 meters²
[ ]	4,624 meters²
[ ]	7,140 meters²
[ ]	11,025 meters²

Math: Middle School: Grades 6, 7 and 8 Quiz - Shapes - Perimeter and Area 1 (Answers)

Which of the following is not a 2 dimensional shape?

[ ]	Rectangle
[x]	Sphere
[ ]	Trapezium
[ ]	Triangle

A sphere is a 3 dimensional shape. Remember that perimeter and area are only associated with 2 dimensional shapes and therefore you will never be asked to calculate the area or perimeter of a sphere

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 millimeters or 52 square centimeters. In the answers above, 15 m is only a length

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

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

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

If a square has sides that are 13 cm long, what is its area?

[ ]	26 cm²
[ ]	52 cm²
[ ]	105 cm²
[x]	169 cm²

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

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!

A rectangle is 2 meters long and 88 centimeters wide; what is its area?

[ ]	0.176 meters²
[x]	1.76 meters²
[ ]	3.52 meters²
[ ]	176 meters²

Don't mix up the meters and centimeters mentioned in the question

10.

An international soccer pitch is 105 m x 68 m. What is the area of one half of the pitch?

[x]	3,570 meters²
[ ]	4,624 meters²
[ ]	7,140 meters²
[ ]	11,025 meters²