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3.5F Ratio: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Write 3 to 8 as a ratio in its simplest form.

(Total for Question 1 is 1 mark)

Express the ratio 12:20 in its simplest form.

(Total for Question 2 is 1 mark)

A recipe uses sugar and flour in the ratio 1:4. How many grams of flour are needed for 75 g of sugar?

(Total for Question 3 is 2 marks)

Share 28 sweets between A and B in the ratio 3:1. How many sweets does B get?

(Total for Question 4 is 2 marks)

The angles of a triangle are in the ratio 2:3:5. Work out the size of the largest angle.

(Total for Question 5 is 3 marks)

A class has boys and girls in the ratio 5:7. If there are 35 boys, how many pupils are there in total?

(Total for Question 6 is 3 marks)

Mix paint in the ratio red:blue = 2:5. How much red paint is needed for 35 litres of the mix?

(Total for Question 7 is 3 marks)

A map uses scale 1:50 000. A path measured on the map is 6 cm long. Work out the actual length of the path in metres.

(Total for Question 8 is 4 marks)

Ali and Zahra share money in the ratio 7:3. After Zahra receives 120 pounds, Ali has 280 pounds. Work out how much money they shared in total.

(Total for Question 9 is 4 marks)

A bowl contains fruit in the ratio apples:pears:bananas = 4:2:3. There are 36 pieces of fruit in the bowl. How many apples are there?

(Total for Question 10 is 4 marks)

A paint mix uses white:grey in the ratio 5:2. A decorator needs 21 litres of grey. Work out how many litres of paint the decorator needs in total.

(a)Find the amount corresponding to one share.(2)

(b)Using your answer to part (a), find the total litres of paint required.(3)

(Total for Question 11 is 5 marks)

A carton contains orange and black sweets in the ratio 9:7. After 16 orange sweets are eaten, the ratio of orange to black becomes 5:4. How many black sweets were in the carton at the start?

(Total for Question 12 is 4 marks)

Mark scheme · 3.5F Ratio: Foundation Tier Practice

Question 1

B1 3:8 cao
Answer: 3:8

Question 2

B1 3:5 cao
Answer: 3:5

Question 3

M1 Use unitary method: 75 g sugar corresponds to 75 x 4 = 300 g flour (method shown)
A1 300 g cao
Answer: 300 g

Question 4

M1 Find one share: 28 divided by (3+1) = 7 (method)
A1 7 sweets cao
Answer: 7 sweets

Question 5

M1 Method to find size per part: 180 divided by (2+3+5)=180/10=18 oe
M1 Multiply 18 by 5 to get largest angle (method)
A1 90 degrees cao
Answer: 90 degrees

Question 6

M1 Find one share: 35 corresponds to 5 so one share = 35/5 = 7 (method)
M1 Total shares = 5+7 =12 so total pupils = 12 x 7 = 84 (method)
A1 84 pupils cao
Answer: 84 pupils

Question 7

M1 One share: 35 divided by (2+5)=35/7=5 (method)
M1 Red amount = 2 x 5 = 10 litres (method)
A1 10 litres cao
Answer: 10 litres

Question 8

M1 Convert map length to actual: 6 cm corresponds to 6 x 50 000 cm = 300 000 cm (method)
M1 Convert cm to metres: 300 000 cm = 3000 m (method)
A1 3000 m cao
B1 final answer given with correct unit
Answer: 3000 m

Question 9

M1 Use the ratio to find one share: Zahra has 3 shares = 120 so one share = 120/3 = 40 (method)
M1 Ali has 7 shares so Ali = 7 x 40 = 280 (method shown matching given)
M1 Total shares = 7+3 = 10 so total = 10 x 40 = 400
A1 £400 cao
Answer: 400 pounds

Question 10

M1 Find one share: 36 divided by (4+2+3)=36/9=4 (method)
M1 Apples = 4 x 4 = 16 (method)
A1 16 cao
B1 final answer with correct unit or context
Answer: 16 apples

Question 11

(a) M1 21 corresponds to 2 shares so one share = 21/2 = 10.5 (method)
(a) A1 10.5 litres cao
(a) Answer: 10.5 litres
(b) M1 Total shares = 5+2 =7 so total = 7 x 10.5 = 73.5 (method)
(b) M1 Use units correctly and show multiplication result
(b) A1 73.5 litres cao
(b) Answer: 73.5 litres

Question 12

M1 Let k be the common factor: initially orange = 9k, black = 7k. After eating 16 orange, (9k - 16) : 7k = 5 : 4. Set up equation
M1 Cross-multiply: 4(9k - 16) = 5(7k) -> 36k - 64 = 35k (method)
M1 Solve for k: 36k - 35k = 64 -> k = 64 (method)
A1 Black sweets initially = 7k = 7 x 64 = 448 cao
Answer: 448 black sweets

Ratio: Foundation Tier Practice - Worksheets, Questions and Revision