Write the number four thousand and sixty-two in figures.
(Total for Question 1 is 1 mark)
2
Work out 7 x 8 - 6.
(Total for Question 2 is 1 mark)
3
A number, when rounded to the nearest 100, gives 3600. Write down the smallest whole number it could have been.
(Total for Question 3 is 2 marks)
4
By rounding each number to 1 significant figure, estimate the value of 397 x 21.
(Total for Question 4 is 2 marks)
5
Find 3/8 of 96.
(Total for Question 5 is 2 marks)
6
Write these fractions in order of size, starting with the smallest: 3/5, 7/10, 13/20
(Total for Question 6 is 2 marks)
7
Share 72 sweets between Aisha and Ben in the ratio 5:4. Work out how many sweets Ben receives.
(Total for Question 7 is 2 marks)
8
A train leaves a station at 14:47. The journey takes 58 minutes. Work out the time the train arrives.
(Total for Question 8 is 2 marks)
9
Priya buys 3 notebooks costing £1.35 each and pays with a £10 note. Work out how much change she receives.
(Total for Question 9 is 2 marks)
10
A rectangle has length 14 cm and width 9 cm. Work out its perimeter.
(Total for Question 10 is 2 marks)
11
Here are the first four terms of a sequence: 5, 11, 17, 23. Find the 8th term of the sequence.
(Total for Question 11 is 2 marks)
12
Work out 15% of 260.
(Total for Question 12 is 2 marks)
13
Solve 4x + 7 = 39.
(Total for Question 13 is 2 marks)
14
Work out 2/3 of 3/4 of 60.
(Total for Question 14 is 2 marks)
15
A cafe sells coffee for £2.60 and tea for £1.90. On Tuesday it sold 45 coffees and 30 teas. Work out the total amount of money taken.
(Total for Question 15 is 3 marks)
16
A cyclist travels 18 km in 45 minutes at a constant speed. Work out her speed in km/h.
(Total for Question 16 is 3 marks)
17
Two numbers are in the ratio 3:7. The difference between the two numbers is 48. Find the larger number.
(Total for Question 17 is 3 marks)
18
N is a whole number. N is greater than 40 and less than 100. N is a multiple of 6, a multiple of 8 and a multiple of 9. Find N.
(Total for Question 18 is 3 marks)
19
The mean of five numbers is 18. Four of the numbers are 12, 15, 21 and 24. Find the fifth number.
(Total for Question 19 is 3 marks)
20
A jacket normally costs £64. In a sale it is reduced by 25%. Sam has a voucher for a further 10% off the sale price. Work out the final price Sam pays.
(Total for Question 20 is 3 marks)
21
Kofi, Leila and Mia have ages that are three consecutive even numbers. The sum of their ages is 42. Mia is the oldest of the three. Find Mia's age.
(Total for Question 21 is 3 marks)
22
A triangle has one angle of 90 degrees. The second angle is twice the size of the third angle. Find the size of the third angle.
(Total for Question 22 is 3 marks)
23
The nth term of a sequence is given by 3n2 - 5. Work out the 6th term of the sequence.
(Total for Question 23 is 3 marks)
24
A recipe for 8 people needs 320 g of flour.
(a)A recipe for 8 people needs 320 g of flour. Work out how much flour is needed to make the recipe for 35 people.(2)
(b)Flour is sold in bags of 400 g. Work out the least number of whole bags needed to have enough flour for 35 people.(2)
(Total for Question 24 is 4 marks)
25
Amir thinks of a number. He doubles it, then adds 15, then divides the result by 3. His final answer is 19. Work out the number Amir started with.
(Total for Question 25 is 4 marks)
26
Three consecutive whole numbers have a sum that is equal to twice the largest of the three numbers, plus 15. Find the three numbers.
(Total for Question 26 is 4 marks)
Mark scheme · EP.M69 Non-Calculator Reasoning Paper A
Question 1
B1 4062 cao
Answer: 4062
Question 2
B1 50 cao
Answer: 50
Question 3
M1 identifies that numbers from 3550 up to (but not including) 3650 round to 3600 (oe)
A1 3550 cao
Answer: 3550
Question 4
M1 397 rounds to 400 and 21 rounds to 20 (oe)
A1 8000 cao
Answer: 8000
Question 5
M1 96 / 8 = 12 (oe)
A1 36 cao
Answer: 36
Question 6
M1 converts to a common denominator of 20: 12/20, 14/20, 13/20 (oe)
A1 3/5, 13/20, 7/10 cao
Answer: 3/5, 13/20, 7/10
Question 7
M1 72 / 9 = 8 (finds one part) (oe)
A1 32 cao
Answer: 32
Question 8
M1 complete method, e.g. 14:47 + 13 min to reach 15:00, then + 45 min remaining (oe)
A1 15:45 cao
Answer: 15:45
Question 9
M1 3 x 1.35 = 4.05 (oe)
A1 £5.95 cao
Answer: £5.95
Question 10
M1 14 + 9 = 23, or 2 x 14 + 2 x 9 (oe)
A1 46 cm cao
Answer: 46 cm
Question 11
M1 identifies the term-to-term rule +6 and a correct method to reach the 8th term, e.g. 5 + 7 x 6 (oe)
A1 47 cao
Answer: 47
Question 12
M1 10% = 26 and 5% = 13 (oe)
A1 39 cao
Answer: 39
Question 13
M1 4x = 32 (oe)
A1 x = 8 cao
Answer: x = 8
Question 14
M1 3/4 of 60 = 45 (oe)
A1 30 cao
Answer: 30
Question 15
M1 45 x 2.60 = 117 (oe)
M1 30 x 1.90 = 57 (oe)
A1 £174 cao
Answer: £174
Question 16
M1 45 minutes = 3/4 hour (oe)
M1 18 / (3/4), or equivalent method such as 18 / 45 x 60 (oe)
A1 24 km/h cao
Answer: 24 km/h
Question 17
M1 identifies that the difference of 4 parts represents 48 (oe)
M1 1 part = 12 (oe)
A1 84 cao
Answer: 84
Question 18
M1 finds the lowest common multiple of 6, 8 and 9 (= 72), or lists multiples of each (oe)
M1 identifies multiples of 72 between 40 and 100 (oe)
A1 72 cao
Answer: 72
Question 19
M1 total of the five numbers = 5 x 18 = 90 (oe)
M1 sum of the given four numbers = 12 + 15 + 21 + 24 = 72 (oe)
A1 18 cao
Answer: 18
Question 20
M1 25% of 64 = 16, so sale price = 48 (oe)
M1 10% of 48 = 4.80 (oe)
A1 £43.20 cao
Answer: £43.20
Question 21
M1 sets up three consecutive even numbers, e.g. n - 2, n, n + 2 (oe)
M1 3n = 42, so n = 14 (oe)
A1 16 cao
Answer: 16
Question 22
M1 90 + 2x + x = 180 (oe)
M1 3x = 90 (oe)
A1 30 degrees cao
Answer: 30 degrees
Question 23
M1 62 = 36 (oe)
M1 3 x 36 = 108 (oe)
A1 103 cao
Answer: 103
Question 24
(a) M1 320 / 8 = 40 g per person (oe)
(a) A1 1400 g cao
(a) Answer: 1400 g
(b) M1 1400 / 400 = 3.5 (ft from a) (oe)
(b) A1 4 bags cao, correctly rounded up
(b) Answer: 4 bags
Question 25
M1 reverses the final step: 19 x 3 = 57 (oe)
M1 reverses the addition: 57 - 15 = 42 (oe)
M1 reverses the doubling: 42 / 2 (oe), or sets up and solves (2x + 15) / 3 = 19
A1 21 cao
Answer: 21
Question 26
M1 lets the numbers be n - 1, n, n + 1 (oe), so their sum is 3n