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11+ · Mixed

EP.M148 CEM Style Maths Mixed Section 3

CEM CEM-11PLUS-MOCK · Calculators not allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

What is 48% of 50?

(Total for Question 1 is 1 mark)

A recipe needs 7/8 of a teaspoon of spice. How much spice is needed if you make 64 portions?

(Total for Question 2 is 1 mark)

Calculate 125 + 37 - 62.

(Total for Question 3 is 1 mark)

A train leaves at 09:15 and the journey takes 2 hours 40 minutes. At what time does it arrive?

(Total for Question 4 is 2 marks)

A carton holds 1.8 litres of juice. How many full cartons are needed to have at least 10 litres?

(Total for Question 5 is 2 marks)

What is 15% of 260?

(Total for Question 6 is 1 mark)

Four people share the cost of a taxi fare of £48 equally. How much does each person pay?

(Total for Question 7 is 2 marks)

A square field has area 144 m². What is the length of one side of the field in metres?

(Total for Question 8 is 2 marks)

What is 3.6 divided by 0.6?

(Total for Question 9 is 1 mark)

A shop reduces a £120 jacket by 15%. What is the sale price?

(Total for Question 10 is 2 marks)

Write 0.375 as a fraction in its simplest form.

(Total for Question 11 is 1 mark)

A rectangle measures 7 cm by 2.5 cm. Calculate its perimeter.

(Total for Question 12 is 2 marks)

A baker needs 3/5 of a kilogram of flour for one batch. How much flour is needed for 8 batches?

(Total for Question 13 is 2 marks)

A bus travels 150 kilometres in 2 hours 30 minutes. What is its average speed in km/h? Give your answer to 1 decimal place.

(Total for Question 14 is 2 marks)

If x = 6, find the value of 2x + 5.

(Total for Question 15 is 2 marks)

A bottle costs £3.60. A 2 for 1 deal means buy one get one free. How much would three bottles cost at this offer?

(Total for Question 16 is 2 marks)

What is the next prime number after 23?

(Total for Question 17 is 1 mark)

A rope is cut into lengths in the ratio 2:3:5. If the shortest piece is 6 m, what is the total length of the rope?

(Total for Question 18 is 2 marks)

A school has 240 pupils. The ratio of boys to girls is 7:5. How many girls are there? Show your working.

(Total for Question 19 is 5 marks)

A charity collects money in two boxes. Box A contains £150, which is 60% of the total collected. How much is in Box B? Show all steps.

(Total for Question 20 is 6 marks)

Mark scheme · EP.M148 CEM Style Maths Mixed Section 3

Question 1

B1 24 cao
Answer: 24

Question 2

B1 56 cao
Answer: 56 teaspoons

Question 3

B1 100 cao
Answer: 100

Question 4

M1 Add 2 hours to 09:15 and add 40 minutes (method) seen
A1 11:55 cao
Answer: 11:55

Question 5

M1 Divide 10 by 1.8 or equivalent method to find 5.555... seen
A1 6 cartons cao
Answer: 6 cartons

Question 6

B1 39 cao
Answer: 39

Question 7

M1 Correct division 48 / 4 seen
A1 £12.00 cao
Answer: £12.00

Question 8

M1 Method to take square root of 144 seen
A1 12 m cao
Answer: 12 m

Question 9

B1 6 cao
Answer: 6

Question 10

M1 Find 15% of 120 or show 0.15 x 120 seen
A1 £102.00 cao
Answer: £102.00

Question 11

B1 3/8 cao
Answer: 3/8

Question 12

M1 Method 2 x (7 + 2.5) or equivalent seen
A1 19 cm cao
Answer: 19 cm

Question 13

M1 Multiply 3/5 by 8 shown (3/5 x 8 = 24/5)
A1 4 4/5 kg or 4.8 kg cao
Answer: 4 4/5 kg (4.8 kg)

Question 14

M1 Convert time to hours (2.5 h) and set up division 150 / 2.5
A1 60.0 km/h cao
Answer: 60.0 km/h

Question 15

M1 Substitute x = 6 into expression seen
A1 17 cao
Answer: 17

Question 16

M1 Recognise paying for 2 bottles when getting one free or method showing 3 bottles cost 2 x 3.60
A1 £7.20 cao
Answer: £7.20

Question 17

B1 29 cao
Answer: 29

Question 18

M1 Find the value of one part: 2 parts = 6 so 1 part = 3
A1 Total 10 parts = 30 m cao
Answer: 30 m

Question 19

M1 Method to add parts 7 + 5 = 12 or show consideration of total parts seen
M1 Method to divide 240 by 12 to find one part (240 / 12 = 20) seen
M1 Method to multiply one part by 5 to get girls (20 x 5) seen
A1 100 cao
B1 Alternative fully correct method e.g. 240 x 5/12 = 100 ft
Answer: 100 girls

Question 20

M1 Method to express 150 as 60% of total or write equation 0.6T = 150
M1 Method to divide 150 by 0.6 or equivalent to find total T = 250
M1 Method to find amount in B by subtracting 150 from total or using 40% seen
A1 £100 cao
M1 Alternative method: find 10% = 25 then 40% = 100 shown
A1 Final answer consistent: £100 cao
Answer: £100

CEM Style Maths Mixed Section 3 - Worksheets, Questions and Revision