A packet of biscuits costs £1.60. How much do 5 packets cost?
(Total for Question 3 is 1 mark)
4
A rectangle is 9 cm long and 4 cm wide.
(a)Work out the area of the rectangle in cm2.(1)
(b)Calculate the perimeter of the rectangle in centimetres.(1)
(Total for Question 4 is 2 marks)
5
Round 4,678 to the nearest 100.
(Total for Question 5 is 1 mark)
6
A bus journey takes 2 hours 35 minutes. A second journey takes 1 hour 50 minutes. Work out the total time taken for both journeys in minutes.
(Total for Question 6 is 2 marks)
7
Here are five numbers: 12, 17, 9, 22, 20.
(a)Work out the mean of these numbers.(1)
(b)Work out the range of the numbers.(1)
(Total for Question 7 is 2 marks)
8
Which of these is the same as 45% of 200?
A) 9
B) 90
C) 450
D) 0.9
E) 45
(Total for Question 8 is 2 marks)
9
I have a number. I subtract 7 and then multiply the result by 5. The final answer is 60. Work out the original number.
(Total for Question 9 is 2 marks)
10
A recipe needs 2 1/2 kg of flour to make 20 muffins. How much flour is needed for 8 muffins? Give your answer as a fraction in simplest form.
(Total for Question 10 is 2 marks)
11
A triangular garden has angles 35 degrees and 65 degrees. Work out the size of the third angle in degrees.
(Total for Question 11 is 2 marks)
12
A shop sold 48 shirts in one week. This is 20% more than the previous week. How many shirts were sold in the previous week?
(Total for Question 12 is 2 marks)
13
A square tile measures 12 cm on each side. A larger square is made by arranging 9 of these tiles in a 3 by 3 square. Work out the perimeter of the larger square in centimetres.
(Total for Question 13 is 2 marks)
14
A train travels 180 km in 2 hours 15 minutes. Calculate its average speed in kilometres per hour, correct to 1 decimal place.
(Total for Question 14 is 2 marks)
15
Amelia has three different sized ropes: 1.2 m, 85 cm and 0.5 m. She ties them end to end. Work out the total length in metres. Give your answer as a decimal.
(Total for Question 15 is 3 marks)
16
A pack contains red, blue and green counters in the ratio 3:4:5. There are 60 counters altogether. How many green counters are there?
(Total for Question 16 is 3 marks)
17
The bar chart below shows the number of books borrowed from a school library in four months: January 120, February 85, March 150, April 95. Calculate the median number of books borrowed for these four months.
(Total for Question 17 is 3 marks)
18
Callum has a 3-digit code. He knows the digits add to 12 and the code is an even number. One possible code is 384. Give another different 3-digit code that satisfies both conditions.
(Total for Question 18 is 2 marks)
19
A cylindrical water tank has radius 1.5 m and height 2 m. Calculate the volume of the tank in cubic metres, giving your answer correct to 2 decimal places. Use π = 3.142.
(Total for Question 19 is 3 marks)
20
A discount of 15% is taken off the price of a jacket. The sale price is £51. What was the original price? Give your answer to the nearest pence.
(Total for Question 20 is 2 marks)
Mark scheme · EP.M139 GL Assessment Style Numerical Reasoning Paper 1
Question 1
B1 56 cao
Answer: 56
Question 2
B1 0.75 cao
Answer: 0.75
Question 3
B1 £8.00 cao
Answer: £8.00
Question 4
(a) B1 36 cao
(a) Answer: 36
(b) B1 26 cao
(b) Answer: 26
Question 5
B1 4,700 cao
Answer: 4,700
Question 6
M1 Convert times to minutes: 2h35 = 155, 1h50 = 110
A1 265 minutes cao
Answer: 265 minutes
Question 7
(a) B1 16 cao
(a) Answer: 16
(b) B1 13 cao
(b) Answer: 13
Question 8
M1 Find 1% of 200 (=2) or convert: 45% = 0.45, then 0.45 x 200 seen
A1 correct option B (90) cao
Answer: B) 90
Question 9
M1 Undo multiply by dividing: 60/5 = 12
A1 Original number = 12 + 7 = 19 cao
Answer: 19
Question 10
M1 Find flour per muffin: 2.5 kg = 5/2 kg; (5/2)/20 = 5/40 = 1/8 kg
A1 For 8 muffins: 8 x 1/8 = 1 kg cao
Answer: 1 kg
Question 11
M1 Use angle sum 180: third = 180 - (35 + 65)
A1 Third angle = 80 degrees cao
Answer: 80 degrees
Question 12
M1 Let previous = x; 48 = x + 0.20x = 1.2x or recognise 48 is 120% so divide by 1.2
A1 Previous week = 48 / 1.2 = 40 shirts cao
Answer: 40 shirts
Question 13
M1 Side of larger square = 3 x 12 = 36 cm
A1 Perimeter = 4 x 36 = 144 cm cao
Answer: 144 cm
Question 14
M1 Convert time: 2h15 = 2.25 h and form speed = 180 / 2.25
A1 Speed = 80.0 km/h to 1 dp cao
Answer: 80.0 km/h
Question 15
M1 Convert all to metres: 85 cm = 0.85 m
M1 Add lengths: 1.2 + 0.85 + 0.5 seen
A1 Total = 2.55 m cao
Answer: 2.55 m
Question 16
M1 Find total parts: 3+4+5 = 12 and form 60/12
M1 Find one part = 60/12 = 5
A1 Green = 5 x 5 = 25 cao
Answer: 25
Question 17
M1 Order the data: 85, 95, 120, 150 or show understanding of median for even set
M1 Find middle two values 95 and 120 and form their average
A1 Median = (95 + 120) / 2 = 107.5 cao
Answer: 107.5
Question 18
B1 Any 3-digit even number with digits summing to 12, e.g. 642, 228, 930, 804, 174, 552 each acceptable
B1 Answer must be different to given example and a valid 3-digit even number with digit sum 12
Answer: One possible answer: 642
Question 19
M1 Use formula V = π r2 h and substitute r = 1.5, h = 2
M1 Calculate r2 = 2.25 and 3.142 x 2.25 x 2 seen
A1 Volume = 3.142 x 2.25 x 2 = 14.139 ~ 14.14 m3 cao
Answer: 14.14 m3
Question 20
M1 Let original = x; sale price = x - 0.15x = 0.85x, so x = 51 / 0.85
A1 Original price = 51 / 0.85 = £60.00 cao to nearest pence