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Math: Middle School: Grades 6, 7 and 8 Quiz - Perimeter and Area 3 (Questions)

This Math quiz is called 'Perimeter and Area 3' 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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Area is the size of the surface of a two-dimensional (2D) or three-dimensional (3D) shape. The area of a three-dimensional shape is worked out by adding the area of each of its faces together. The area of each of its faces is worked out in the same way as the area of 2D shapes. This Perimeter and Area quiz is all about the perimeter and area of 2D shapes and the surface area of 3D shapes.

What is the perimeter of a regular octagon with sides of 12cm?

[ ]	20cm
[ ]	56cm
[ ]	96cm
[ ]	160cm

What is the perimeter of a regular decagon with sides of 23cm?

[ ]	46cm
[ ]	115cm
[ ]	200cm
[ ]	230cm

A regular heptagon has a perimeter of 63cm. What length is each side?

[ ]	6.3cm
[ ]	9cm
[ ]	10cm
[ ]	12cm

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

1cm² is equivalent to how many mm²?

[ ]	1mm²
[ ]	10mm²
[ ]	100mm²
[ ]	1,000mm²

How would you find the area of an L-shape?

[ ]	Divide into rectangles; work out the areas of each and then divide one by the other
[ ]	Divide into rectangles; work out the areas of each and then multiply one by the other
[ ]	Divide into rectangles; work out the areas of each and then add together
[ ]	Divide into rectangles; work out the areas of each and then subtract one from the other

What is the surface area of a cube with sides of 5cm?

[ ]	25cm²
[ ]	75cm²
[ ]	125cm²
[ ]	150cm²

What is the surface area of a cuboid with measurements of 4cm x 5cm x 6cm?

[ ]	74cm²
[ ]	100cm²
[ ]	148cm²
[ ]	174cm²

How do we calculate the area of a right angled triangle?

[ ]	Length x width then halve
[ ]	Length + width then double
[ ]	Length x width then double
[ ]	Length x width then quarter

10.

What is the area of a right angle triangle with width 12cm and length 6cm?

[ ]	18cm²
[ ]	36cm²
[ ]	72cm²
[ ]	148cm²

Math: Middle School: Grades 6, 7 and 8 Quiz - Perimeter and Area 3 (Answers)

What is the perimeter of a regular octagon with sides of 12cm?

[ ]	20cm
[ ]	56cm
[x]	96cm
[ ]	160cm

Octagons have 8 sides so 12 x 8 = 96

What is the perimeter of a regular decagon with sides of 23cm?

[ ]	46cm
[ ]	115cm
[ ]	200cm
[x]	230cm

A regular decagon has 10 equal sides, so we multiply the length of the side by 10 to calculate the perimeter

A regular heptagon has a perimeter of 63cm. What length is each side?

[ ]	6.3cm
[x]	9cm
[ ]	10cm
[ ]	12cm

A regular heptagon has 7 equal sides. To find the length of each side divide the perimeter by 7

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

A rectangle measuring 60cm by 45cm would have an area of 2,700cm²

1cm² is equivalent to how many mm²?

[ ]	1mm²
[ ]	10mm²
[x]	100mm²
[ ]	1,000mm²

There are 10mm in a cm so 10 x 10 = 100

How would you find the area of an L-shape?

[ ]	Divide into rectangles; work out the areas of each and then divide one by the other
[ ]	Divide into rectangles; work out the areas of each and then multiply one by the other
[x]	Divide into rectangles; work out the areas of each and then add together
[ ]	Divide into rectangles; work out the areas of each and then subtract one from the other

Always simplify shapes if you can

What is the surface area of a cube with sides of 5cm?

[ ]	25cm²
[ ]	75cm²
[ ]	125cm²
[x]	150cm²

The area of each face is 25cm². There are 6 faces, so multiply 25cm² by 6 to give 150cm²

What is the surface area of a cuboid with measurements of 4cm x 5cm x 6cm?

[ ]	74cm²
[ ]	100cm²
[x]	148cm²
[ ]	174cm²

2 of the faces will be 4cm x 5cm = 20cm²
2 of the faces will be 4cm x 6cm = 24cm²
2 of the faces will be 5cm x 6cm = 30 cm²
20 + 20 + 24 + 24 + 30 + 30 = 148

How do we calculate the area of a right angled triangle?

[x]	Length x width then halve
[ ]	Length + width then double
[ ]	Length x width then double
[ ]	Length x width then quarter

Right angled triangles are rectangles cut in half so the formula is the same as for a rectangle but then halved

10.

What is the area of a right angle triangle with width 12cm and length 6cm?

[ ]	18cm²
[x]	36cm²
[ ]	72cm²
[ ]	148cm²

12 x 6 = 72
72 ÷ 2 = 36