Module 6 · Practice

Practice questions

Three difficulty levels. Have a proper go before checking the answers.

Section A — Easy

Warm-up

Solve:

(a) x + 7 = 12 (b) 3x = 21 (c) 2x + 5 = 17 (d) x/4 = 6

Solve:

(a) 5x − 3 = 17 (b) 4x + 1 = 21 (c) 7 − x = 3

Find the area of a triangle with base 8cm and height 5cm.

Find the area of a parallelogram with base 12cm and perpendicular height 7cm.

Name the quadrilateral that has:

(a) 4 equal sides and 4 right angles (b) Exactly one pair of parallel sides (c) Two pairs of adjacent equal sides

Typical Year 8 standard

Solve:

(a) 5x − 2 = 3x + 10 (b) 4x + 1 = x + 13 (c) 7x + 3 = 2x − 12

Solve:

(a) 3(x + 4) = 21 (b) 2(2x − 1) = 18 (c) 5(x − 3) = 2(x + 6)

Find the area of a trapezium with parallel sides 6cm and 10cm, height 4cm.

A triangle has area 36 cm² and base 9cm. Find its height.

A rectangle has length 3x + 2 and width 5. Its perimeter is 50cm. Find x.

Challenge / problem-solving

Solve: 2(3x − 1) − 3(x + 2) = x + 4

The angles of a quadrilateral are x, x + 20, 2x − 30 and 110. Set up an equation and find x.

A trapezium has area 60 cm². The parallel sides are 7cm and 13cm. Find its height.

I think of a number, multiply by 4, then subtract 9. The result is the same as adding 6 to the original number. What is the number?

The base of a triangle is twice its height. The area is 49 cm². Find the base and height.