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3.4F Writing and Simplifying Ratio: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write the ratio of red pens to green pens. There are 6 red pens and 10 green pens.

(Total for Question 1 is 1 mark)

Simplify the ratio 8:12.

(Total for Question 2 is 1 mark)

Share £63 in the ratio 1:2. Work out how much the smaller share is.

(Total for Question 3 is 2 marks)

There are 18 apples to be shared in the ratio 2:1. Work out how many apples the larger share receives.

(Total for Question 4 is 2 marks)

Write the ratio of blue tiles to yellow tiles in simplest form. There are 9 blue tiles and 6 yellow tiles.

(Total for Question 5 is 1 mark)

A cake recipe uses flour : sugar : butter = 4 : 3 : 1. The recipe makes 16 cups of mixture in total. Work out how many cups of sugar are needed.

(Total for Question 6 is 3 marks)

Simplify the ratio 45:60.

(Total for Question 7 is 1 mark)

Given that a : b = 5 : 2 and a = 25, work out the value of b.

(Total for Question 8 is 2 marks)

Priya and Noah share 35 stickers in the ratio 3:4. How many stickers does Priya receive?

(Total for Question 9 is 2 marks)

The numbers of cats, dogs and rabbits at a pet fair are in the ratio 2 : 3 : 5. There are 40 animals in total.
(a) Work out the number of dogs and the number of rabbits.
(b) Work out the number of cats.
(c) Work out the ratio dogs : (cats + rabbits) in its simplest form.

(a)Work out the number of dogs and the number of rabbits.(3)

(b)Work out the number of cats.(1)

(c)Work out the ratio dogs : (cats + rabbits) in its simplest form.(2)

(Total for Question 10 is 6 marks)

Share £48 in the ratio 5:3.
(a) Find the larger share.
(b) Find the difference between the two shares.

(a)Find the larger share.(2)

(b)Find the difference between the two shares.(2)

(Total for Question 11 is 4 marks)

Red paint and blue paint are mixed in the ratio 3:5. A painter needs 32 litres of the mix. Work out how many litres of red paint and how many litres of blue paint are needed.

(Total for Question 12 is 4 marks)

Mark scheme · 3.4F Writing and Simplifying Ratio: Foundation Tier Practice

Question 1

B1 3:5 cao
Answer: 3:5

Question 2

B1 2:3 cao
Answer: 2:3

Question 3

M1 divide 63 by 3 to find one part (63/3 = 21) or equivalent method
A1 £21 cao
Answer: £21

Question 4

M1 find one part: 18/3 = 6 or equivalent
A1 12 apples cao
Answer: 12

Question 5

B1 3:2 cao
Answer: 3:2

Question 6

M1 find total parts 4+3+1 = 8 and divide 16 by 8 to find one part = 2 (or equivalent)
A1 3 parts x 2 = 6 cao
B1 state units: 6 cups (accept 6 with units implied) oe
Answer: 6 cups

Question 7

B1 3:4 cao
Answer: 3:4

Question 8

M1 find one part: 25/5 = 5 or equivalent method
A1 10 cao
Answer: 10

Question 9

M1 find one part: 35/7 = 5 or equivalent
A1 15 cao
Answer: 15

Question 10

(a) M1 find total parts 2+3+5 = 10 and one part = 40/10 = 4 (or equivalent)
(a) A1 dogs = 3 x 4 = 12 cao
(a) A1 rabbits = 5 x 4 = 20 cao
(a) Answer: dogs 12, rabbits 20
(b) B1 cats = 2 x 4 = 8 cao
(b) Answer: 8
(c) M1 form ratio 12 : (8 + 20) = 12 : 28 or equivalent
(c) A1 3:7 cao
(c) Answer: 3:7

Question 11

(a) M1 find one part: 48/8 = 6 or equivalent
(a) A1 £30 cao
(a) Answer: £30
(b) M1 find smaller share 3 x 6 = 18 or equivalent
(b) A1 £12 cao
(b) Answer: £12

Question 12

M1 find one part: 32/(3+5) = 32/8 = 4 or equivalent
A1 red = 3 x 4 = 12 litres cao
M1 use same one part for blue
A1 blue = 5 x 4 = 20 litres cao
Answer: red 12 litres, blue 20 litres

Writing and Simplifying Ratio: Foundation Tier Practice - Worksheets, Questions and Revision