Year 8 Maths

Substitution

100

If y = 4, find: 

y + 7

11

200

Find the missing number:                     

      y = x + 5 

x     2     5     8     11

y     7    __   13    16

10

300

If y = 6, find: 

4y

24

400

If y = 7, find: 

3y + 12

33

500

If x = 3 and y = 8, find: 

5x + 2y + y

39

Factorising

100

Find the Highest Common Factor (HCF) of: 

4 and 12

4

200

Find the HCF of the following:

16 and 8x

8

300

Find the HCF of the following:

5abc and 15c

5c

400

Factorise the following (remember to include the brackets): 

6x + 15

3 (2x + 5)

500

Factorise the following (remember to include the brackets): 

12a + 18ab

6a (2 + 3b)

Applying Algebra

100

1 apple costs you $2. Find the cost of 10 apples. 

$20

200

A football costs you $40 and a pair of football boots costs you $130. Find the total cost of the two.

$170

300

1 banana costs you $3 and 1 orange costs you $2. Find the cost of 6 bananas and 7 oranges.

$32

400

NETFLIX costs you $12 a month. Find how much it costs you for a year.

$144

500

It costs you $2 to get into the pool every day. If you went everyday, find how much you would pay after 3 weeks. 

$42

Multiplying and Dividing Terms

100

Calculate: 

3d x d

3d²

200

Calculate: 

9ab x 2a

18a²b

300

Calculate: 

5ab x 2a x 3b

30a²b²

400

Calculate: 

            4xy 

             7x

             4y

              7

500

Calculate: 

            3abc 

            9acd

                1b

                3d

Finding Rules using Tables

100

Find the rule of the following: 

x   -2   -1   0   1   2   3

y   2     4   6   8  10  12

y = 2x + 6

200

Find the rule of the following: 

x   -2   -1   0   1   2

y   -1    0   1   2   3

y = 1x + 1

300

Find the rule of the following: 

x  -1   0   1    2    3   

y   4   2   0   -2   -4  

y = -2x + 2

400

Find the rule of the following: 

x   1   2    3    4    5 

y   2   4    6    8   10

y = 2x

500

Find the rule of the following: 

x   0    2    4    6    8    10 

y   4    8   12  16   20   24

y = 2x + 4