1. Homework Assistance Guide
Sheet

2. Targets 1 Adding fractions (Q1&2) 2 Substituting into formulae (Q3&4)
3 Multiplying with indices (Q5&6)
4 Comparing measures (Q7&8)
5 Solving linear equations - including brackets (Q9&10)
6 Rounding to significant figures and decimal places
(Q11&12)
7 Calculating a percentage of a quantity (Q13&14)
8 Finding missing terms in sequences (Q15&16)
9 Estimating the answers to calculations (Q17&18)
10 Changing mixed numbers to improper fractions (Q19&20)

3. T1 Full working solution aide:
Question 1/2 help:
Simplify
Standard method =
= 3×5 4×5 + 2×4 5×4 =
= =1 3 20

4. T2 Full working solution aide:
Question 3/4 help:
Work out the value of 24𝑥−6 𝑥 2 when 𝑥=2
Substitution in
=24(2)−6 (2) 2
=48−24
=24

5. T3 Full working solution aide:
Question 5/6 Evaluate 5 2 × 10 4
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
5 2 × =25×1000
=25 000

6. T4 Full working solution aide:
Question 7/8 help: Solve 8𝑥+5=29
Method 1
8𝑥+5=29
− −5
8𝑥=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

7. T4 Full working solution aide:
Question 7/8 help: Solve 8 2𝑥+5 =88
Method 1
8 2𝑥+5 =88
÷ ÷8
2𝑥+5=11
− −5
2𝑥=6
÷2 ÷2
𝑥=3
Check:
8 2(3)+5 =88→𝑇𝑟𝑢𝑒
Method 2
Check:
8 2(3)+5 =88→𝑇𝑟𝑢𝑒
𝑥 =𝑥
×2 ÷2 −5
×8 ÷8 =
8𝑥+5=29
2𝑥+5=11
2𝑥=6
𝑥=3

8. T5 Full working solution aide:
Question 9/10 help:
Complete 79 𝑚𝑚 ……0.82 𝑐𝑚
To compare, have measurements in the SAME units
=79÷10
=7.9𝑐𝑚
∴79 𝑚𝑚>0.82 𝑐𝑚

9. T6 Full working solution aide:
Question 11/12 help: Round to 2 decimal places Round to 1 significant place
Check < 5 ∴ round down
=5.27
Check ≥ 5 ∴ round down =

10. T7 Full working solution aide:
Question 13/14 help:
Find 15% of £150
Method 1
15% 𝑜𝑓 150= × 150 1
= 15× ×1 =
=22.5
Method 2
15% =10%+5%
𝑜𝑓 150 =
=22.5

11. T8 Full working solution aide:
Question 15/16 help: Find the missing terms in the sequence ? , 15 , 11, ? , 3 , …
∴19 𝑎𝑛𝑑 7 −4 +4

12. T9 Full working solution aide:
Question 17/18 help: Estimate 3693 −430
3693 −430≈4000 − 400
≈3600

13. T10 Full working solution aide:
Question 19/20 help:
Express as an improper fraction
Method 1
= 5×8+3 8
= 43 8
Method 2
5 wholes broken into 8 parts each = 5×8=40 𝑒𝑖𝑔𝑡ℎ𝑠
Plus the extra 3 parts from the fraction =43 𝑒𝑖𝑔𝑡ℎ𝑠
= 43 8