1. Homework Assistance Guide
Sheet

2. Targets 1 Using place value (Q1&2)
2 Multiplying 2 digit x 2 digit numbers (Q3&4)
3 Simplifying expressions (Q5&6)
4 Substituting values into formulae (Q7&8)
5 Rounding to 1 significant figure (Q9&10)
6 Simple equations (Q11&12)
7 Finding missing terms in sequences (Q13&14)
8 Expanding brackets (Q15&16)
9 Metric measure conversions (Q17&18)
10 Identifying cube and square numbers (Q19&20)

3. T1 Full working solution aide:
Question 1/2 help:
Work out
=904.03
Thousands
Hundreds
Tens
Units (ones)
Tenths
Hundredths
Thousandths 9 4 3

4. T2 Full working solution aide:
Question 3/4 help: Work out 49×27=1323 × 20 7 40
800
280 9
180 63
Total:
980
343
=1323

5. T3 Full working solution aide:
Question 5/6
Adding or subtracting?
Simplify 5𝑥−6𝑦−𝑥+2𝑦
Multiplying or dividing?
Simplify 5𝑥×6𝑦𝑥
Step 1: Group like terms
Step 2: Simplify like terms only by adding/subtracting the coefficients
NOTE: variables do not change when =/-
=5𝑥−𝑥 −6𝑦+2𝑦
=4𝑥 −4𝑦
Step 1: Multiply/divide coefficients
Step 2: Multiply/divide variables
NOTE: use index laws to help if needed
=5×6×𝑥×𝑥×𝑦
=30 𝑥𝑥𝑦
=30 𝑥 2 𝑦

6. T4 Full working solution aide:
Question 7/8 help:
Work out the value of 24𝑥−6 𝑥 2 when 𝑥=2
Substitution in
=24×(2)−6× (2) 2
=48−24
=24

7. T5 Full working solution aide:
Question 9/10 help: Round to 2 decimal places Round to 1 significant place
(means the answer will have only two decimal places)
Check > 5 ∴ round down
=5.27
(means the answer will have only one number not a zero)
Check ≤ 5 ∴ round down =
NOTE: Place values DO NOT move/change

8. T6 Full working solution aide:
Question 11/12 help: Solve 8𝑥+5=29
BIDMAS
Method 1
8×𝑥+5=29
− −5
8×𝑥=24
÷8 ÷8
𝑥=3
Check:
8 3 +5=24 →𝑇𝑟𝑢𝑒
Method 2
Check:
8 3 +5=24 →𝑇𝑟𝑢𝑒
𝑥 =𝑥
×8 ÷8 −5 =
8𝑥+5=29
8𝑥=24
𝑥=3

9. T7 Full working solution aide:
Question 13/14 help: Find the missing terms in the sequence ? , 15 , 11, ? , 3 , …
∴19 𝑎𝑛𝑑 7 −4 +4

10. T8 Full working solution aide:
Question 15/16 help:
Expand 3 8−2𝑥
Method 2
=3×8+3×−2𝑥
=24−6𝑥
Method 1
∴ =24−6𝑥 × 8
−2𝑥 3 24
−6𝑥

11. T9 Full working solution aide:
Question 17/18 help:
Complete 79 𝑚𝑚= ……𝑐𝑚
=79÷10
=7.9𝑐𝑚

12. T10 Full working solution aide:
Question 19/20 help: What is the square root 81? What is the 8th cube number?
Square #s
1 2 =1
2 2 =4
3 2 = 9
4 2 = 16
5 2 = 25
6 2 =36
7 2 = 49
8 2 =64
9 2 = 81
10 2 = 100
Cube#s
1 3 =1
2 3 =8
3 3 =27
4 3 =64
5 3 =125
6 3 =216
7 3 =343
8 3 =512
9 3 =729
10 3 = 1000
∴ 81 =9
∴ 9 3 =729