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11+ · Mixed

EP.M146 CEM Style Maths Mixed Section 1

CEM CEM-11PLUS-MOCK · Calculators not allowed · about 40 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

What is 7.5 x 12?

(Total for Question 1 is 1 mark)

A carton holds 9.6 litres of paint. How many whole 2-litre pots can be filled from 3 such cartons?

(Total for Question 2 is 1 mark)

Write 3/4 as a decimal.

(Total for Question 3 is 1 mark)

A shop reduces a jacket priced at £48 by 15%. What is the sale price to the nearest penny?

(Total for Question 4 is 1 mark)

A recipe for 8 muffins uses 250 g of flour. Tomas needs to make 20 muffins. Work out how much flour he needs in grams.

(Total for Question 5 is 3 marks)

A train journey takes 2 hours 24 minutes. How many minutes is this? Then find the average speed if the train travels 198 km in that time. Give your speed in km/h to one decimal place.

(Total for Question 6 is 3 marks)

What is the next prime number after 31?

(Total for Question 7 is 1 mark)

A rectangle has length 14 cm and width 6 cm. Calculate its perimeter.

(Total for Question 8 is 1 mark)

A class contains 24 pupils. 5/8 of them are girls. How many boys are in the class?

(Total for Question 9 is 2 marks)

A pack of 12 chocolates costs £4.20. What is the cost of 5 chocolates?

(Total for Question 10 is 2 marks)

Round 0.04783 to 3 significant figures.

(Total for Question 11 is 1 mark)

A map has scale 1 cm represents 3 km. How many kilometres are represented by 7.5 cm?

(Total for Question 12 is 2 marks)

Priya buys 3 identical shirts and a pair of socks. The socks cost £4.50 and her total bill is £40.50. How much does one shirt cost?

(Total for Question 13 is 2 marks)

Find the value of 6² - 5².

(Total for Question 14 is 1 mark)

Three fifths of a number is 150. Work out the number.

(Total for Question 15 is 3 marks)

A car uses 6.8 litres of fuel per 100 km. How many litres will it use to travel 275 km? Give your answer to one decimal place.

(Total for Question 16 is 3 marks)

A cyclist rides 40 km at 30 km/h and then 60 km at 60 km/h. Calculate the cyclist's average speed for the whole 100 km journey. Give your answer to one decimal place.

(Total for Question 17 is 3 marks)

£240 is shared in the ratio 3:5:4. Work out the amount received by the person with the middle share.

(Total for Question 18 is 3 marks)

Increase 120 by 15%. Work out the new value.

(Total for Question 19 is 3 marks)

A tank is 3/4 full. After removing 45 litres, the tank is 1/3 full. What is the capacity of the tank in litres?

(Total for Question 20 is 3 marks)

Mark scheme · EP.M146 CEM Style Maths Mixed Section 1

Question 1

B1 90 cao
Answer: 90

Question 2

B1 14 cao
Answer: 14

Question 3

B1 0.75 cao
Answer: 0.75

Question 4

B1 £40.80 cao
Answer: £40.80

Question 5

M1 method to scale recipe: 250/8 x 20 or equivalent seen
M1 intermediate value 250/8 = 31.25 or 250/8 x 20 = 625 seen
A1 625 g cao
Answer: 625 g

Question 6

M1 convert 2 h 24 min to minutes: 2 h = 120 min, 120 + 24 = 144 seen
M1 method to find speed: convert time to hours 144/60 = 2.4 and use speed = distance/time or equivalent
A1 82.5 km/h cao
Answer: 82.5 km/h

Question 7

B1 37 cao
Answer: 37

Question 8

B1 40 cm cao
Answer: 40 cm

Question 9

M1 method to find number of girls: 24 x 5/8 = 15 or equivalent
A1 9 boys cao
Answer: 9

Question 10

M1 method: unit cost 4.20/12 = 0.35 or equivalent
A1 £1.75 cao
Answer: £1.75

Question 11

B1 0.0478 cao
Answer: 0.0478

Question 12

M1 method: 7.5 x 3 = 22.5 seen
A1 22.5 km cao
Answer: 22.5 km

Question 13

M1 method: subtract socks 40.50 - 4.50 = 36.00 or equivalent
A1 £12.00 cao
Answer: £12.00

Question 14

B1 11 cao
Answer: 11

Question 15

M1 method: let number = N, 3/5 N = 150 or equivalent set-up
M1 method to isolate N: N = 150 x 5/3 or equivalent
A1 250 cao
Answer: 250

Question 16

M1 method: use proportion 6.8/100 x 275 or equivalent
M1 calculate intermediate: 6.8 x 2.75 seen or 6.8 x 275/100
A1 18.7 litres cao
Answer: 18.7 litres

Question 17

M1 method: find times for each part: 40/30 and 60/60 or equivalent
M1 sum times correctly: 40/30 = 4/3 h, 60/60 = 1 h, total time 7/3 h (2.333...) or equivalent
A1 42.9 km/h cao
Answer: 42.9 km/h

Question 18

M1 method: total parts 3 + 5 + 4 = 12 or equivalent
M1 method: middle share = 5/12 of 240 or equivalent
A1 £100 cao
Answer: £100

Question 19

M1 method: find 15% of 120 seen (15/100 x 120 or 0.15 x 120)
M1 intermediate calculation: 0.15 x 120 = 18 or equivalent
A1 138 cao
Answer: 138

Question 20

M1 method: let capacity = C, set up equation 3/4 C - 45 = 1/3 C or equivalent
M1 method to solve: (3/4 - 1/3) C = 45 or equivalent and simplify fraction to 5/12 C = 45
A1 108 litres cao
Answer: 108 litres

CEM Style Maths Mixed Section 1 - Worksheets, Questions and Revision