1. Homework Assistance Guide
Sheet

2. Targets 1 Expanding and simplifying (Q1&2)
2 Dividing by a single digit (Q3&4)
3 Dividing multiples of 10 (Q5&6)
4 Metric conversions - capacity (Q7&8)
5 Multiplying 2 digit by 2 digit including decimals (Q9&10)
6 Rounding to 1 or 2 decimal places
(Q11&12)
7 Solving linear equations (Q13&14)
8 BIDMAS (Q15&16)
9 Evaluating indices (Q17&18)
10 Calculating a fraction of a quantity
(Q19&20)

3. T1 Full working solution aide:
Question 1/2 help:
Expand 3 8𝑦−2𝑥 +5 2𝑥+4𝑦
Method 1
∴ =24𝑦−6𝑥+10𝑥+20𝑦
=44𝑦+4𝑥 × 8𝑦
−2𝑥 3
24𝑦
−6𝑥 × 2𝑥 4𝑦 5
10𝑥
20𝑦 +
Method 2
=3×8𝑦+3×−2𝑥+5×2𝑥+5×4𝑦
=24𝑦−6𝑥+10𝑥+20𝑦
=44𝑦+4𝑥

4. T2 Full working solution aide:
Question 3/4 help: Work out 696÷12

5. T3 Full working solution aide:
Question 5/6 help: Work out 40000÷20
=(40÷20)×(10×10×10)
=2×10×10×10
=6000

6. T4 Full working solution aide:
Question 7/8 help:
Complete 79 𝑚𝑙= ……𝐿
=79÷10÷100
=0.079𝐿

7. T5 Full working solution aide:
Question 9/10 help: Work out 49.3×2.7=133.11 × 2
0.7 40 80 28 9 18
6.3
0.3
0.6
0.21
Total:
98.6
34.51
=133.11

8. T6 Full working solution aide:
Question 11/12 help: Round to 2 decimal places Round to 1 decimal place
Check < 5 ∴ round down
=5.27
Check ≥ 5 ∴ round down
=65.3

9. T7 Full working solution aide:
Question 13/14 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 =
8(2𝑥+5)=29
2𝑥+5=11
2𝑥=6
𝑥=3

10. T8 Full working solution aide:
Question 15/16 help: Work out 10×5− ÷3

11. T9 Full working solution aide:
Question 17/18 Evaluate
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+25×25
=25+625
=650

12. T10 Full working solution aide:
Question 19/20 help:
Work out of £120
Method 1
= × 120 1
= 2×120 15 =
=16
Method 2
= × 120 1
=2×
=2×8
=16