A timed speed-drill pack for building fast, accurate ratio and proportion skills - the fluency with simplifying ratios, sharing amounts fairly and scaling recipes and prices that keeps working quick enough for the real GL Assessment 11+ maths paper. This is the second set in the series, with a fresh set of numbers and contexts throughout. Complete each block against its own 5-minute target without a calculator, writing only the final answer in the answer grid provided; no working space is given or needed. There are 4 blocks of 20 one-mark, answer-only questions: Block 1, simplifying ratios and finding equivalent ratios; Block 2, sharing an amount in a given ratio; Block 3, the unitary method and scaling recipes; Block 4, a mixed speed round including quick best-buy comparisons. Each block carries its own Target: 5 minutes heading; time yourself (or ask an adult to time you) and note how close you get to the target on each block.
1
Block 1: Simplifying ratios and equivalent ratios - Target: 5 minutes. Simplify the ratio 6 : 10 to its simplest form.
(Total for Question 1 is 1 mark)
2
Simplify the ratio 9 : 3 to its simplest form.
(Total for Question 2 is 1 mark)
3
Simplify the ratio 8 : 12 to its simplest form.
(Total for Question 3 is 1 mark)
4
Simplify the ratio 14 : 21 to its simplest form.
(Total for Question 4 is 1 mark)
5
Simplify the ratio 10 : 25 to its simplest form.
(Total for Question 5 is 1 mark)
6
Simplify the ratio 18 : 27 to its simplest form.
(Total for Question 6 is 1 mark)
7
Simplify the ratio 24 : 36 to its simplest form.
(Total for Question 7 is 1 mark)
8
Simplify the ratio 15 : 35 to its simplest form.
(Total for Question 8 is 1 mark)
9
Simplify the ratio 33 : 55 to its simplest form.
(Total for Question 9 is 1 mark)
10
Simplify the ratio 28 : 42 to its simplest form.
(Total for Question 10 is 1 mark)
11
Simplify the ratio 16 : 40 to its simplest form.
(Total for Question 11 is 1 mark)
12
Complete the missing number: 5 : 6 = 30 : ___
(Total for Question 12 is 1 mark)
13
Complete the missing number: 3 : 7 = ___ : 49
(Total for Question 13 is 1 mark)
14
Complete the missing number: 8 : 9 = 40 : ___
(Total for Question 14 is 1 mark)
15
Complete the missing number: 2 : 9 = ___ : 54
(Total for Question 15 is 1 mark)
16
Complete the missing number: 7 : 12 = 63 : ___
(Total for Question 16 is 1 mark)
17
A recipe uses butter and flour in the ratio 18 : 24. Simplify this ratio.
(Total for Question 17 is 1 mark)
18
Simplify the ratio 4.2 : 5.6 to its simplest whole-number form.
(Total for Question 18 is 1 mark)
19
Simplify the ratio 36 : 54 : 90 to its simplest form.
(Total for Question 19 is 1 mark)
20
A length of 3.2 m is compared with a length of 80 cm. Write this as a ratio in its simplest whole-number form.
(Total for Question 20 is 1 mark)
21
Block 2: Sharing in a ratio - Target: 5 minutes. Share 28 conkers between Priya and Sam in the ratio 1 : 3. Find how many conkers Priya gets.
(Total for Question 21 is 1 mark)
22
Share £18 between Noah and Ella in the ratio 2 : 7. Find how much Noah gets.
(Total for Question 22 is 1 mark)
23
Share 21 badges between Ken and Mia in the ratio 1 : 2. Find how many badges Mia gets.
(Total for Question 23 is 1 mark)
24
Share £60 between Jamal and Freya in the ratio 3 : 7. Find how much Freya gets.
(Total for Question 24 is 1 mark)
25
Share 72 counters between Wesley and Dina in the ratio 5 : 4. Find how many counters Wesley gets.
(Total for Question 25 is 1 mark)
26
120 g of icing sugar is shared between two cakes in the ratio 3 : 5. Find the mass of the larger share.
(Total for Question 26 is 1 mark)
27
Share £90 between Sian, Bilal and Grace in the ratio 2 : 3 : 4. Find how much Bilal gets.
(Total for Question 27 is 1 mark)
28
Share 110 marbles between three friends in the ratio 2 : 3 : 6. Find the size of the largest share.
(Total for Question 28 is 1 mark)
29
Two numbers are in the ratio 2 : 5 and their sum is 84. Find the smaller number.
(Total for Question 29 is 1 mark)
30
Share £91 between Rhys and Anya in the ratio 3 : 10. Find how much more Anya gets than Rhys.
(Total for Question 30 is 1 mark)
31
A bag of 96 sweets is shared between Owen and Lily in the ratio 7 : 5. Find how many sweets Owen gets.
(Total for Question 31 is 1 mark)
32
189 counters are shared between three players in the ratio 6 : 7 : 8. Find the size of the middle share.
(Total for Question 32 is 1 mark)
33
A fruit drink of 4.5 litres is made from squash and water in the ratio 1 : 8. Find how many litres of water it contains.
(Total for Question 33 is 1 mark)
34
91 kg of flour is shared between two bakeries in the ratio 9 : 4. Find how much the smaller bakery receives.
(Total for Question 34 is 1 mark)
35
A journey of 182 km is split into two legs in the ratio 3 : 10. Find the length of the shorter leg.
(Total for Question 35 is 1 mark)
36
Share £70 between three charities in the ratio 1 : 2 : 4. Find how much the charity with the smallest share receives.
(Total for Question 36 is 1 mark)
37
The angles of a triangle are in the ratio 3 : 4 : 5. Find the size of the largest angle.
(Total for Question 37 is 1 mark)
38
Two amounts are shared in the ratio 4 : 9. The smaller amount is £72. Find the total amount shared.
(Total for Question 38 is 1 mark)
39
A sum of money is shared between Farah and Ola in the ratio 3 : 8. Ola receives £45 more than Farah. Find Farah's share.
(Total for Question 39 is 1 mark)
40
Three sisters share a bonus in the ratio 2 : 4 : 7. The eldest receives £45 more than the youngest. Find the total bonus shared.
(Total for Question 40 is 1 mark)
41
Block 3: Unitary method and recipe scaling - Target: 5 minutes. 4 pens cost £8. Find the cost of 1 pen.
(Total for Question 41 is 1 mark)
42
A recipe for 5 people needs 250 g of rice. Find how many grams of rice are needed for 1 person.
(Total for Question 42 is 1 mark)
43
6 identical books cost £24. Find the cost of 2 books.
(Total for Question 43 is 1 mark)
44
A recipe for 4 people uses 200 g of butter. Find how much butter is needed for 10 people.
(Total for Question 44 is 1 mark)
45
9 identical tickets cost £72. Find the cost of 4 tickets.
(Total for Question 45 is 1 mark)
46
A recipe for 5 people needs 400 ml of milk. Find how much milk is needed for 8 people.
(Total for Question 46 is 1 mark)
47
10 metres of fabric cost £60. Find the cost of 7 metres.
(Total for Question 47 is 1 mark)
48
A car travels 84 km using 6 litres of fuel. Find how far it can travel on 9 litres.
(Total for Question 48 is 1 mark)
49
A recipe for 4 people uses 200 g of pasta. Find how much pasta is needed for 11 people.
(Total for Question 49 is 1 mark)
50
A job needs 60 worker-hours shared equally between 5 workers. Find how many hours each worker puts in.
(Total for Question 50 is 1 mark)
51
A recipe for 6 people uses 3 eggs. Find how many eggs are needed for 18 people.
(Total for Question 51 is 1 mark)
52
6 identical calculators cost £90. Find the cost of 8 calculators.
(Total for Question 52 is 1 mark)
53
A recipe for 10 people uses 500 g of sugar. Find how much sugar is needed for 4 people.
(Total for Question 53 is 1 mark)
54
A printer prints 63 pages in 7 minutes. Find how many pages it prints in 4 minutes.
(Total for Question 54 is 1 mark)
55
A recipe for 8 people uses 800 ml of stock. Find how much stock is needed for 5 people.
(Total for Question 55 is 1 mark)
56
5 identical chairs cost £85. Find the cost of 8 chairs.
(Total for Question 56 is 1 mark)
57
A recipe for 6 people uses 1.8 kg of potatoes. Find how many kilograms are needed for 4 people.
(Total for Question 57 is 1 mark)
58
A recipe for 4 people uses 280 g of flour. Zain wants to make enough for 9 people. Find how many grams of flour he needs.
(Total for Question 58 is 1 mark)
59
12 identical exercise books cost £30. Find the cost of 20 such books.
(Total for Question 59 is 1 mark)
60
A recipe serves 5 people and uses 400 g of chocolate. Kofi has 320 g of chocolate. Using the same ratio, find how many people he can serve exactly.
(Total for Question 60 is 1 mark)
61
Block 4: Mixed speed round including quick best-buy comparisons - Target: 5 minutes. A 5-pack of yoghurts costs £3. Find the cost per yoghurt.
(Total for Question 61 is 1 mark)
62
Simplify the ratio 20 : 45 to its simplest form.
(Total for Question 62 is 1 mark)
63
3 tins of beans cost £1.80. Find the cost of 1 tin.
(Total for Question 63 is 1 mark)
64
A jar of honey costs £3.60 for 400 g. Find the price per 100 g.
(Total for Question 64 is 1 mark)
65
600 g of rice costs £1.80, and 900 g of rice costs £2.43. State which pack is better value.
(Total for Question 65 is 1 mark)
66
Share £105 between Idris and Maya in the ratio 4 : 3. Find how much Maya gets.
(Total for Question 66 is 1 mark)
67
A recipe for 5 people needs 300 g of oats. Find how much is needed for 8 people.
(Total for Question 67 is 1 mark)
68
Simplify the ratio 35 : 60 to its simplest form.
(Total for Question 68 is 1 mark)
69
A 5-pack of fruit bars costs £3.00. A single fruit bar costs 65p. State which is better value: the 5-pack, or 5 single bars.
(Total for Question 69 is 1 mark)
70
Complete the missing number: 8 : 11 = 24 : ___
(Total for Question 70 is 1 mark)
71
A car uses 4 litres of petrol to travel 52 km. Find how far it can travel on 9 litres.
(Total for Question 71 is 1 mark)
72
105 sweets are shared between three friends in the ratio 1 : 2 : 4. Find how many sweets the friend with the smallest share gets.
(Total for Question 72 is 1 mark)
73
A 3 litre bottle of squash costs £4.50. A 4 litre bottle costs £5.60. State which bottle is better value per litre.
(Total for Question 73 is 1 mark)
74
Simplify the ratio 27 : 63 to its simplest form.
(Total for Question 74 is 1 mark)
75
7 identical erasers cost £2.10. Find the cost of 5 erasers.
(Total for Question 75 is 1 mark)
76
Share £170 between Dev and Farida in the ratio 6 : 11. Find how much Dev gets.
(Total for Question 76 is 1 mark)
77
A recipe for 4 people uses 3 eggs. Find how many eggs are needed for 20 people.
(Total for Question 77 is 1 mark)
78
300 g of cheese costs £2.40, and a different pack of 0.75 kg of the same cheese costs £5.40. State which pack is better value per 100 g.
(Total for Question 78 is 1 mark)
79
Three amounts are shared in the ratio 3 : 4 : 9. The smallest amount is 24. Find the largest amount.
(Total for Question 79 is 1 mark)
80
A recipe for 6 people uses 480 g of flour. Amara wants to make the recipe for 9 people. Find how many grams of flour she needs.
(Total for Question 80 is 1 mark)
Mark scheme · EP.M92 Speed Drills: Ratio, Proportion and Scaling Set 2