Year 8

Solving equations

100

Solve 2a = 18

a = 9

200

Solve 2a + 1 = 9

a = 4

300

Solve 3x - 1 = 17

x = 6

400

Solve 5x - 5 = 30

x = 7

500

Solve 3x + 1 = 2x + 2

x = 1

Expanding and Simplifying

100

Expand 2 (a + 3)

2a + 6

200

Expand 3 (4b - 4)

12b - 12

300

Simplify 2a + 4b - a 

a + 4b

400

Expand and simplify 2 ( 3a + 3) + 3a

9a + 6

500

Expand and simplify 4c (2c + 4) - c

8c² + 15c

Factorising

100

Factorise 4a + 12

4 (a + 3)

200

Factorise 5a + 15

5 (a + 3)

300

Factorise 8a + 12

4 (2a + 3)

400

Factorise 8a + 12ab

4a (2a + 3b)

500

Factorise 14c + 21cd

7c (2+3d)

Ratios

100

Simplify the ratio 14:21

2:3

200

Simplify the ratio 12:16

3:4

300

Simplify the ratio 8:12:36

2:3:9

400

I split £40 in the ratio 3:5 How much do both people get?

£15 : £25

500

I split 32 sweets in the ratio 3:1 How many sweets do both people get?

24:8

Sequences

100

what is the common difference in the sequence

 2, 5, 8?

3 or +3

200

What is the common difference in the sequence?

15, 10, 5

-5

300

What is the 0th term in the sequence?

24, 28, 32

20

400

What is the nth term in the sequence 

8, 12, 16, 20

4n + 4

500

What is the 20th term of the sequence with nth term 3n + 5 ?

65