Module 5 · Practice

Practice questions

Three difficulty levels. Have a proper go before checking the answers. Use π = 3.14 unless told otherwise.

Section A — Easy

Warm-up

Simplify:

(a) 5a + 3a − 2a (b) 7x + 4y − 3x + y (c) 3x × 2x

Expand:

(a) 4(x + 3) (b) 5(2y − 1) (c) −3(a + 5) (d) x(x + 6)

Factorise:

(a) 6x + 12 (b) 10y − 25 (c) x² + 5x

Make x the subject of y = x + 7.

Find the circumference of a circle with diameter 10cm. Use π = 3.14.

Find the area of a circle with radius 4cm. Use π = 3.14.

Typical Year 8 standard

Expand and simplify: 3(x + 4) + 2(x − 1)

Factorise fully:

(a) 8a + 12b (b) 6x² − 9x (c) 4xy + 6x

Make a the subject: v = u + at

Find the circumference of a circle with radius 7cm. Give your answer in terms of π.

The area of a circle is 50π cm². Find the radius.

A pizza has diameter 30cm. Find its area to 1 d.p. (use π = 3.14).

Challenge / problem-solving

Expand and simplify: 5(2x − 3) − 2(3x − 4)

Make r the subject of A = πr².

A circle has area 154 cm² (use π = 22/7). Find its circumference.

A semicircle has diameter 12cm. Find its perimeter to 1 d.p. (use π = 3.14).

The perimeter of a rectangle is given by P = 2(l + w). A rectangle has perimeter 50cm and width 8cm. Find its length by rearranging the formula.