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3.2F Fractions: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 45 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write the fraction shown by the shaded part of this shape. A rectangle is split into 6 equal small rectangles; 2 of them are shaded.

(Total for Question 1 is 1 mark)

Write 4/8 in its simplest form.

(Total for Question 2 is 1 mark)

Which fraction is equivalent to 3/5? Circle one: 6/10, 4/6, 3/8.

6/10
4/6
3/8

(Total for Question 3 is 1 mark)

Work out 1/4 + 1/4.

(Total for Question 4 is 2 marks)

Work out 5/6 - 1/6.

(Total for Question 5 is 2 marks)

Write 7/4 as a mixed number.

(Total for Question 6 is 2 marks)

Work out 2 x 3/7.

(Total for Question 7 is 2 marks)

Work out 1/3 of 36.

(Total for Question 8 is 3 marks)

A recipe needs 3/4 litre of milk. Priya has a jug of 2 litres. How much milk remains after she uses the amount for the recipe?

(Total for Question 9 is 3 marks)

Work out 2/5 + 1/3. Give your answer as a fraction in its simplest form.

(Total for Question 10 is 3 marks)

Work out 3/8 of 64.

(Total for Question 11 is 4 marks)

Simplify 12/18. Show your working.

(Total for Question 12 is 4 marks)

Amelia uses 1 1/2 packets of sugar to make 3 batches of cookies. How much sugar does she use for one batch? Give your answer as a fraction.

(a)Write 1 1/2 as an improper fraction.(2)

(b)Divide 3/2 by 3 and give the answer in simplest form.(4)

(Total for Question 13 is 6 marks)

A cake is cut into 8 equal slices. Kwame eats 3 slices and Erin eats 2 slices. What fraction of the cake is left? Show your working and give the answer in simplest form.

(Total for Question 14 is 6 marks)

Mark scheme · 3.2F Fractions: Foundation Tier Practice

Question 1

B1 2/6 cao
Answer: 2/6

Question 2

B1 1/2 cao
Answer: 1/2

Question 3

B1 6/10 cao
Answer: 6/10

Question 4

M1 correct addition of numerators with common denominator, 1/4 + 1/4 = 2/4 (ft)
A1 1/2 cao (or 2/4 simplified)
Answer: 1/2

Question 5

M1 subtract numerators with common denominator 5/6 - 1/6 = 4/6
A1 2/3 cao (4/6 simplified to 2/3)
Answer: 2/3

Question 6

M1 divide 7 by 4 to get 1 remainder 3 (method shown or implied)
A1 1 3/4 cao
Answer: 1 3/4

Question 7

M1 multiply numerator by 2: 2 x 3/7 = 6/7 or equivalent method
A1 6/7 cao
Answer: 6/7

Question 8

M1 correct method: divide 36 by 3 to find one third (36/3)
A1 12 cao
B1 correct check: 12 x 3 = 36 or statement of answer
Answer: 12

Question 9

M1 subtract 3/4 from 2 by converting 2 to 8/4 or similar method
A1 5/4 cao
B1 give mixed number 1 1/4 or 1.25 as acceptable (awrt 1.25)
Answer: 1 1/4

Question 10

M1 find common denominator 15 and add: 2/5 = 6/15, 1/3 = 5/15
M1 add numerators to get 11/15
A1 11/15 cao
Answer: 11/15

Question 11

M1 method: divide 64 by 8 to find 1/8 or multiply 64 x 3/8
M1 1/8 of 64 = 8
M1 3 x 8 = 24 (or 64 x 3/8 = 24)
A1 24 cao
Answer: 24

Question 12

M1 divide numerator and denominator by a common factor, e.g. 6
M1 show 12/18 = (12/6)/(18/6) or 2/3 by method
A1 2/3 cao
B1 explicit working shown or equivalent explanation
Answer: 2/3

Question 13

(a) M1 convert mixed number to improper fraction shown
(a) A1 3/2 cao
(a) Answer: 3/2
(b) M1 method: divide by 3 is multiply by 1/3, so (3/2) x (1/3)
(b) M1 cancellation or multiplication to get 3/6
(b) A1 1/2 cao
(b) B1 working or simplified result shown
(b) Answer: 1/2

Question 14

M1 find total eaten: 3 + 2 = 5 slices
M1 subtract eaten from 8: 8 - 5 = 3 slices left
M1 write fraction of cake left as 3/8
A1 3/8 cao
M1 show any check or state fraction cannot be simplified further
B1 clear working shown
Answer: 3/8

Fractions: Foundation Tier Practice - Worksheets, Questions and Revision