A bus ticket costs £1.80. How much do 5 tickets cost?
(Total for Question 2 is 1 mark)
3
Write 3/5 as a decimal.
(Total for Question 3 is 1 mark)
4
Sofia has £12. She buys a sandwich for £2.75 and a drink for £1.40. How much change should she get from £12?
(Total for Question 4 is 1 mark)
5
A class of 28 pupils is split into teams of 4. How many teams are formed and how many pupils are left without a full team?
(a)How many full teams?(1)
(b)How many pupils left without a full team?(1)
(Total for Question 5 is 2 marks)
6
An item priced at £48 is reduced by 15%. Work out the sale price, to the nearest penny.
(Total for Question 6 is 2 marks)
7
What is 7 squared minus 9?
(Total for Question 7 is 1 mark)
8
A recipe needs 250 g flour to make 8 muffins. How much flour is needed to make 20 muffins?
(Total for Question 8 is 2 marks)
9
A train journey of 180 km takes 2 hours. At this speed how far does the train travel in 45 minutes?
(Total for Question 9 is 2 marks)
10
Three consecutive even numbers add to 84. Find the numbers.
(Total for Question 10 is 2 marks)
11
A shop sells pencils at 5 for £1.20. How much would 18 pencils cost? Give your answer in pounds to the nearest penny.
(Total for Question 11 is 3 marks)
12
Convert 2 hours 40 minutes into minutes.
(Total for Question 12 is 2 marks)
13
A rectangle has length 9 cm and width 4.5 cm. Find its area in cm2.
(Total for Question 13 is 2 marks)
14
A gardener plants shrubs in a row every 0.75 m. If the row is 12 m long and a shrub is at the start, how many shrubs will be planted in the row?
(Total for Question 14 is 3 marks)
15
A bottle contains 1.5 litres. How many 250 ml glasses can be filled from the bottle?
(Total for Question 15 is 2 marks)
16
Find the value of 12 x 12 - 12 x 11.
(Total for Question 16 is 2 marks)
17
A car uses 6 litres of petrol to travel 90 km. How many kilometres can it travel on 1 litre? Then how far on 22 litres?
(Total for Question 17 is 3 marks)
18
The product of two whole numbers is 56. One number is 7. What is the other number?
(Total for Question 18 is 2 marks)
19
A cinema ticket costs £8.50. A family of 2 adults and 3 children gets a 10% discount on the total bill. Calculate how much the family pays after the discount. Give answer to nearest penny.
(Total for Question 19 is 2 marks)
20
A number pattern starts 2, 5, 11, 23, ... Each term after the first is 2 times the previous term plus 1. Work out the 6th term.
(Total for Question 20 is 3 marks)
Mark scheme · EP.M143 CEM Style Numerical Reasoning Paper 1
Question 1
B1 3,700 cao
Answer: 3,700
Question 2
B1 £9.00 cao
Answer: £9.00
Question 3
B1 0.6 cao
Answer: 0.6
Question 4
B1 £7.85 cao
Answer: £7.85
Question 5
(a) B1 7 cao
(a) Answer: 7
(b) B1 0 cao
(b) Answer: 0
Question 6
M1 Method for 15% of 48 seen (eg 0.15 x 48 = 7.20) or 48 - 7.20
A1 £40.80 cao
Answer: £40.80
Question 7
B1 40 cao
Answer: 40
Question 8
M1 Scale factor 20/8 = 2.5 seen and method 250 x 2.5 = 625
A1 625 g cao
Answer: 625 g
Question 9
M1 Find speed 180/2 = 90 km/h or convert 45 minutes as 0.75 h and multiply
A1 67.5 km cao
Answer: 67.5 km
Question 10
M1 Use even numbers n, n+2, n+4 and set 3n+6 = 84 or equivalent
A1 26, 28, 30 cao
Answer: 26, 28, 30
Question 11
M1 Find unit price: 1.20 / 5 = 0.24 or equivalent
M1 Multiply unit price by 18: 0.24 x 18 = 4.32 shown
A1 £4.32 cao
Answer: £4.32
Question 12
M1 2 hours = 120 minutes and add 40
A1 160 minutes cao
Answer: 160 minutes
Question 13
M1 Method: area = length x width seen (9 x 4.5)
A1 40.5 cm2 cao
Answer: 40.5 cm2
Question 14
M1 Find number of intervals: 12 / 0.75 = 16 or method to find spacing
M1 Include shrub at start so count = intervals + 1 = 17 seen
A1 17 shrubs cao
Answer: 17 shrubs
Question 15
M1 Convert litres to ml: 1.5 L = 1500 ml and divide 1500 / 250 = 6
A1 6 cao
Answer: 6
Question 16
M1 Factor 12(12 - 11) or compute 144 and 132 then subtract
A1 12 cao
Answer: 12
Question 17
M1 Find km per litre: 90 / 6 = 15 km per litre
M1 Multiply 15 x 22 = 330 shown
A1 1 litre -> 15 km and 22 litres -> 330 km cao
Answer: 15 km per litre; 330 km
Question 18
M1 Divide 56 by 7
A1 8 cao
Answer: 8
Question 19
M1 Total before discount = 5 x 8.50 = 42.50 or equivalent
A1 After 10% discount: 42.50 - 4.25 = £38.25 cao
Answer: £38.25
Question 20
M1 Continue pattern: 4th term 23; 5th term = 2 x 23 + 1 = 47