A timed speed-drill pack for building fast, accurate percentages and proportion skills - the mental fluency that keeps working quick enough for the real GL Assessment 11+ maths paper. 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, percentage of an amount built from the 50%, 25%, 10%, 5% and 1% building blocks; Block 2, percentage increase and decrease, including reverse percentage problems; Block 3, sharing amounts in a ratio and simplifying ratios; Block 4, a mixed block of direct and inverse proportion against the clock. 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: Percentage of an amount (building blocks) - Target: 5 minutes. Work out 10% of 40.
(Total for Question 1 is 1 mark)
2
Work out 10% of 90.
(Total for Question 2 is 1 mark)
3
Work out 50% of 36.
(Total for Question 3 is 1 mark)
4
Work out 25% of 60.
(Total for Question 4 is 1 mark)
5
Work out 1% of 400.
(Total for Question 5 is 1 mark)
6
Work out 5% of 60.
(Total for Question 6 is 1 mark)
7
Work out 20% of 55.
(Total for Question 7 is 1 mark)
8
Work out 30% of 70.
(Total for Question 8 is 1 mark)
9
Work out 15% of 80.
(Total for Question 9 is 1 mark)
10
Work out 40% of 65.
(Total for Question 10 is 1 mark)
11
Work out 60% of 45.
(Total for Question 11 is 1 mark)
12
Work out 12% of 200.
(Total for Question 12 is 1 mark)
13
Work out 45% of 120.
(Total for Question 13 is 1 mark)
14
Work out 65% of 80.
(Total for Question 14 is 1 mark)
15
Work out 35% of 140.
(Total for Question 15 is 1 mark)
16
Work out 75% of 96.
(Total for Question 16 is 1 mark)
17
Work out 85% of 60.
(Total for Question 17 is 1 mark)
18
Work out 90% of 150.
(Total for Question 18 is 1 mark)
19
Work out 24% of 250.
(Total for Question 19 is 1 mark)
20
Work out 17.5% of 240.
(Total for Question 20 is 1 mark)
21
Block 2: Percentage increase and decrease - Target: 5 minutes. Increase £30 by 10%.
(Total for Question 21 is 1 mark)
22
Decrease £50 by 10%.
(Total for Question 22 is 1 mark)
23
Increase 40 by 50%.
(Total for Question 23 is 1 mark)
24
Decrease 80 by 25%.
(Total for Question 24 is 1 mark)
25
Increase £60 by 20%.
(Total for Question 25 is 1 mark)
26
Decrease £120 by 20%.
(Total for Question 26 is 1 mark)
27
A jacket costs £45. It is reduced by 10% in a sale. Find the sale price.
(Total for Question 27 is 1 mark)
28
A book costs £16. Its price increases by 25%. Find the new price.
(Total for Question 28 is 1 mark)
29
A water bottle holds 400 ml. A larger bottle holds 30% more. Find its capacity.
(Total for Question 29 is 1 mark)
30
A journey normally takes 50 minutes. Roadworks add 12% to the journey time. Find the new time.
(Total for Question 30 is 1 mark)
31
Find the new value when 60 is decreased by 15%.
(Total for Question 31 is 1 mark)
32
Find the new value when 140 is increased by 30%.
(Total for Question 32 is 1 mark)
33
A concert ticket costs £55. It is reduced by 20% for students. Find the student price.
(Total for Question 33 is 1 mark)
34
A population of 250 increases by 12%. Find the new population.
(Total for Question 34 is 1 mark)
35
A stock of 360 pens decreases by 25% after a clearance sale. Find how many remain.
(Total for Question 35 is 1 mark)
36
£80 is increased by 45%. Find the new amount.
(Total for Question 36 is 1 mark)
37
£180 is decreased by 35%. Find the new amount.
(Total for Question 37 is 1 mark)
38
A trainer's price is increased by 20% to £96. Find the original price.
(Total for Question 38 is 1 mark)
39
A charity's fundraising total is reduced by 15% after refunds, leaving £68. Find the original total before refunds.
(Total for Question 39 is 1 mark)
40
A shop increases the price of a games console by 8% to £486. Find the original price.
(Total for Question 40 is 1 mark)
41
Block 3: Ratio sharing and simplifying - Target: 5 minutes. Simplify the ratio 6 : 10 to its simplest form.
(Total for Question 41 is 1 mark)
42
Simplify the ratio 14 : 21 to its simplest form.
(Total for Question 42 is 1 mark)
43
Simplify the ratio 8 : 20 to its simplest form.
(Total for Question 43 is 1 mark)
44
Simplify the ratio 24 : 36 to its simplest form.
(Total for Question 44 is 1 mark)
45
Complete the missing number: 2 : 3 = 10 : ___
(Total for Question 45 is 1 mark)
46
Complete the missing number: 5 : 6 = ___ : 42
(Total for Question 46 is 1 mark)
47
Share 28 sweets between two friends in the ratio 3 : 4. Find the smaller share.
(Total for Question 47 is 1 mark)
48
Share £54 between two workers in the ratio 2 : 7. Find the larger share.
(Total for Question 48 is 1 mark)
49
Share 100 g of icing between two cakes in the ratio 3 : 2. Find the larger share.
(Total for Question 49 is 1 mark)
50
Share £96 between three cousins in the ratio 1 : 2 : 5. Find the middle share.
(Total for Question 50 is 1 mark)
51
Simplify the ratio 45 : 54 to its simplest form.
(Total for Question 51 is 1 mark)
52
Simplify the ratio 5.5 : 11 to its simplest whole-number form.
(Total for Question 52 is 1 mark)
53
A model plane kit lists wingspan to fuselage length in the ratio 18 : 4. Simplify this ratio.
(Total for Question 53 is 1 mark)
54
The angles of a triangle are in the ratio 3 : 4 : 5. Find the size of the smallest angle.
(Total for Question 54 is 1 mark)
55
Two numbers are in the ratio 4 : 7. Their sum is 88. Find the larger number.
(Total for Question 55 is 1 mark)
56
A youth orchestra has string and wind players in the ratio 7 : 3. There are 21 string players. Find the number of wind players.
(Total for Question 56 is 1 mark)
57
Share £130 between two charities in the ratio 3 : 10. Find how much more the larger charity receives than the smaller.
(Total for Question 57 is 1 mark)
58
A fruit punch is made from orange juice, mango juice and lemonade in the ratio 5 : 3 : 2. Find the amount of mango juice in 4 litres of punch.
(Total for Question 58 is 1 mark)
59
Two amounts are shared in the ratio 5 : 9. The smaller amount is £65. Find the total amount shared.
(Total for Question 59 is 1 mark)
60
A sum of money is shared between Priya and Tomasz in the ratio 3 : 8. Tomasz receives £75 more than Priya. Find Priya's share.
(Total for Question 60 is 1 mark)
61
Block 4: Mixed proportion against the clock - Target: 5 minutes. 3 pens cost £1.50. Find the cost of 5 pens.
(Total for Question 61 is 1 mark)
62
4 notebooks cost £20. Find the cost of 7 notebooks.
(Total for Question 62 is 1 mark)
63
A car travels 120 miles in 3 hours at a constant speed. Find its average speed.
(Total for Question 63 is 1 mark)
64
A cyclist rides at a constant speed of 15 mph for 4 hours. Find the distance travelled.
(Total for Question 64 is 1 mark)
65
6 identical chocolate bars cost £3.60. Find the cost of 10 bars.
(Total for Question 65 is 1 mark)
66
5 builders can put up a fence in 12 days. Find how many days 10 builders, working at the same rate, would take.
(Total for Question 66 is 1 mark)
67
A recipe for 4 people needs 200 g of rice. Find the amount of rice needed for 10 people.
(Total for Question 67 is 1 mark)
68
Petrol costs £1.40 per litre. Find the cost of 15 litres.
(Total for Question 68 is 1 mark)
69
A photocopier prints 45 pages per minute. Find how many pages it prints in 8 minutes.
(Total for Question 69 is 1 mark)
70
8 identical taps fill a tank in 6 hours. Find how long 4 taps, working at the same rate, would take.
(Total for Question 70 is 1 mark)
71
A narrowboat cruises along a canal at a constant speed of 4 mph. Find how far it travels in 5 hours.
(Total for Question 71 is 1 mark)
72
250 g of cheese costs £2.50. Find the cost of 400 g.
(Total for Question 72 is 1 mark)
73
A print shop charges £0.05 per page. Find the cost of printing 240 pages.
(Total for Question 73 is 1 mark)
74
3 taps fill a paddling pool in 20 minutes, working together at the same rate. Find how long 1 tap alone would take.
(Total for Question 74 is 1 mark)
75
A map has a scale of 1 cm to 5 km. Find the real distance for a map length of 8 cm.
(Total for Question 75 is 1 mark)
76
A train travels 210 miles in 3 hours. Find its average speed.
(Total for Question 76 is 1 mark)
77
It takes 4 decorators 9 days to paint a hall. Find how many days 6 decorators, working at the same rate, would take.
(Total for Question 77 is 1 mark)
78
4 identical sketchbooks cost £6. Find the cost of 9 sketchbooks.
(Total for Question 78 is 1 mark)
79
A swimming pool is filled by 2 pumps in 15 hours, working at the same rate. Find how long 3 pumps would take.
(Total for Question 79 is 1 mark)
80
A wheel turns 60 times in 5 seconds at a constant rate. Find how many times it turns in 12 seconds.
(Total for Question 80 is 1 mark)
Mark scheme · EP.M33 Speed Drills: Percentages and Proportion