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GCSE · Number

3.2D Fractions: Fluency and Exam Drill

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Work out 1/4 + 1/2.

(Total for Question 1 is 1 mark)

Work out 5/6 - 1/3.

(Total for Question 2 is 1 mark)

Work out 2/3 × 3/5.

(Total for Question 3 is 1 mark)

Work out 3/5 ÷ 3.

(Total for Question 4 is 2 marks)

Work out 7/8 of 24.

(Total for Question 5 is 2 marks)

Work out 2 2/5 + 1 4/5. Give your answer as a mixed number.

(Total for Question 6 is 2 marks)

Work out 5 1/3 - 2 5/6.

(Total for Question 7 is 3 marks)

Work out 2 ÷ 3/8. Give your answer as a mixed number.

(Total for Question 8 is 3 marks)

Find 3/4 of 2/5 of 100.

(Total for Question 9 is 3 marks)

A smoothie recipe makes 6 servings and uses 5/6 litre of milk in total.
(a) Work out how much milk is used for one serving.
(b) Work out how much milk is needed to make 9 servings. Give your answer as a mixed number where appropriate.

(a)Work out how much milk is used for one serving.(2)

(b)Work out how much milk is needed to make 9 servings. Give your answer as a mixed number where appropriate.(2)

(Total for Question 10 is 4 marks)

Sam paints 3/5 of a fence in the morning. In the afternoon he paints 1/4 of the remaining part. What fraction of the whole fence has Sam painted by the end of the day?

(Total for Question 11 is 3 marks)

Work out 14/15 - 1/3. Give your answer in simplest form.

(Total for Question 12 is 3 marks)

Show that 7/9 ÷ 14/27 = 3/2.

(Total for Question 13 is 4 marks)

A class completed 5/8 of a test. Later, 3/10 of the pupils who had not completed it finished the test. What fraction of the class have now completed the test?

(Total for Question 14 is 3 marks)

Work out 1 2/3 × 2 1/4. Give your answer as a mixed number in simplest form.

(Total for Question 15 is 3 marks)

Work out 4 1/2 ÷ 3/8. Give your answer in simplest form.

(Total for Question 16 is 3 marks)

A painter makes a mix of paints using 5/12 red and 1/3 blue with the rest white. If the total mix is 48 litres, work out how many litres of white paint are used.

(Total for Question 17 is 4 marks)

Priya has 10 1/2 metres of ribbon. She cuts off 1/4 of it. From the remaining ribbon she uses 3/5 for making bows. How much ribbon remains unused? Give your answer as a mixed number in simplest form.

(Total for Question 18 is 5 marks)

Mark scheme · 3.2D Fractions: Fluency and Exam Drill

Question 1

B1 3/4 cao
Answer: 3/4

Question 2

B1 1/2 cao
Answer: 1/2

Question 3

B1 2/5 cao
Answer: 2/5

Question 4

M1 correct method, e.g. 3/5 × 1/3 or showing division by 3 as multiply by 1/3
A1 1/5 cao
Answer: 1/5

Question 5

M1 method: 7/8 × 24 or (24 ÷ 8) × 7 shown
A1 21 cao
Answer: 21

Question 6

M1 convert or add whole and fractions correctly, e.g. 2 + 1 and 2/5 + 4/5 = 6/5 shown
A1 4 1/5 cao
Answer: 4 1/5

Question 7

M1 convert to improper fractions or use common denominator, e.g. 5 1/3 = 16/3 and 2 5/6 = 17/6 shown
M1 perform subtraction with common denominator, e.g. 32/6 - 17/6 shown
A1 2 1/2 cao
Answer: 2 1/2

Question 8

M1 use reciprocal: 2 × 8/3 or equivalent method shown
M1 multiply and simplify to improper fraction, e.g. 16/3 shown
A1 5 1/3 cao
Answer: 5 1/3

Question 9

M1 multiply fractions: 3/4 × 2/5 shown
M1 apply result to 100, e.g. (3/4 × 2/5) × 100 shown
A1 30 cao
Answer: 30

Question 10

(a) M1 divide 5/6 by 6 or show 5/6 × 1/6
(a) A1 5/36 litre cao
(a) Answer: 5/36 litre
(b) M1 multiply 5/36 by 9 or equivalent method shown
(b) A1 1 1/4 litres cao
(b) Answer: 1 1/4 litres

Question 11

M1 calculate remaining after morning, 1 - 3/5 = 2/5 and find 1/4 of this, 1/4 × 2/5
M1 add morning and afternoon amounts, e.g. 3/5 + 1/10 shown
A1 7/10 cao
Answer: 7/10

Question 12

M1 use common denominator, e.g. convert 1/3 to 5/15
M1 subtract numerators correctly, e.g. 14/15 - 5/15 = 9/15
A1 3/5 cao
Answer: 3/5

Question 13

M1 rewrite division as multiplication by reciprocal, e.g. 7/9 × 27/14
M1 cancel common factors correctly, e.g. 27/9 = 3 and 7/14 = 1/2
M1 multiply remaining numerators and denominators, e.g. 3 × 1 over 1 × 2 or equivalent
A1 3/2 cso
Answer: 3/2

Question 14

M1 find fraction remaining 1 - 5/8 = 3/8 and find 3/10 of that, 3/10 × 3/8
M1 add new completions to original, e.g. 5/8 + 9/80
A1 59/80 cao
Answer: 59/80

Question 15

M1 convert to improper fractions and multiply, e.g. 5/3 × 9/4 shown
M1 simplify product to improper fraction, e.g. 45/12 or equivalent
A1 3 3/4 cao
Answer: 3 3/4

Question 16

M1 convert 4 1/2 to improper fraction 9/2
M1 divide by 3/8 using reciprocal: 9/2 × 8/3 shown
A1 12 cao
Answer: 12

Question 17

M1 convert 1/3 to twelfths or find combined coloured fraction, e.g. 1/3 = 4/12 so combined = 9/12
M1 find white fraction 1 - 9/12 = 3/12 = 1/4
M1 multiply 1/4 × 48 shown
A1 12 litres cao
Answer: 12 litres

Question 18

M1 convert 10 1/2 to improper fraction 21/2
M1 find amount removed: 1/4 × 21/2 = 21/8 and find remainder 21/2 - 21/8 = 63/8
M1 find amount used for bows: 3/5 × 63/8 = 189/40
M1 subtract used from remainder: 63/8 - 189/40 = 63/20
A1 3 3/20 cao
Answer: 3 3/20

Fractions: Fluency and Exam Drill - Worksheets, Questions and Revision