Maths revision

Factorising

100

Factorise

5x + 10

5(x + 2)

200

Factorise

24x - 18

6(4x - 3)

300

Factorise

x² + 8x

x(x + 8)

400

Factorise

3x² - 8xy

x(3x - 8y)

500

Factorise

5xyz + 10xy

5xy(z + 2)

Solving

100

Solve for x:

x + 5 = 16

x = 11

200

Solve for x:

7x = 35

x = 5

300

Solve for x:

2x + 3 = 19

x = 8

400

Solve for x:

5x - 8 = 52

x = 12

500

Solve for x:

4x + 1 = 2x + 17

x = 8

Pythagoras

100

What is the length of the hypotenuse if the two shorter sides are 6cm and 8cm?

10cm

200

What is the length of the hypotenuse if the two shorter sides are 9cm and 10cm? (2 decimal places)

13.45cm

300

What is the length of the missing shorter side if the hypotenuse if 12m, and one shorter side is 7.5m? (2 decimal places)

9.37m

400

What is the length of the missing shorter side if the hypotenuse if 18m, and one shorter side is 10.1m? (2 decimal places)

14.90m

500

What is the length of the missing shorter side (in cm) if the hypotenuse if 1.3m, and one shorter side is 91cm? (2 decimal places)

92.84cm

Area of circles

100

Area of a circle if the radius is 8cm (2 dp)

201.06cm²

200

Area of a circle if the radius is 4.5cm (2 dp)

63.62cm²

300

Area of a circle if the diameter is 10cm (2 dp)

78.54cm²

400

Area of a semi-circle if the radius is 9cm (2 dp)

127.23cm²

500

Area of a semi-circle if the diameter is 17cm (2 dp)

113.49cm²