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3.6F Proportion: Foundation Tier Practice

EDEXCEL Edexcel 1MA1 · Calculator allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Amina and Yusuf share 12 biscuits in the ratio 2:1. Work out how many biscuits Amina gets and how many Yusuf gets.

(Total for Question 1 is 2 marks)

Five pens cost £3.00. Work out the cost of one pen, then the cost of eight pens.

(Total for Question 2 is 2 marks)

y is directly proportional to x. When x = 4, y = 6. Work out y when x = 10.

(Total for Question 3 is 2 marks)

A muffin recipe uses 150 g of flour to make 3 muffins. How much flour is needed to make 10 muffins?

(Total for Question 4 is 2 marks)

On a map the scale is 1 cm represents 5 km. The real-life distance between two towns is 14 km. What is the distance between the two towns on the map, in centimetres?

(Total for Question 5 is 2 marks)

Three friends share £36 in the ratio 3:2:1. Work out the smallest share.

(Total for Question 6 is 2 marks)

A car travels 90 miles using 6 gallons of petrol.
(a) Work out how many miles the car travels per gallon.
(b) Work out how many gallons are needed for a 300 mile journey. Give your answer to 1 decimal place.

(a)(a) Work out how many miles the car travels per gallon.(1)

(b)(b) How many gallons are needed for 300 miles? Give answer to 1 decimal place.(2)

(Total for Question 7 is 3 marks)

A jacket is reduced by 20% and now costs £24. Work out the original price of the jacket.

(Total for Question 8 is 3 marks)

Two quantities are in the ratio 4:7. If their total is 99, find the smaller quantity.

(Total for Question 9 is 3 marks)

Mark scheme · 3.6F Proportion: Foundation Tier Practice

Question 1

M1 Divide 12 into 2 + 1 = 3 equal parts, find one part 12/3 = 4 oe
A1 Amina 8 biscuits, Yusuf 4 biscuits cao
Answer: Amina 8, Yusuf 4

Question 2

M1 Find cost of 1 pen: 3.00 / 5 = 0.60 oe
A1 Cost of 8 pens = 8 x 0.60 = £4.80 cao
Answer: £4.80

Question 3

M1 Find constant of proportionality k: y/x = 6/4 = 3/2, so y = (3/2)x oe
A1 y = (3/2) x -> y = (3/2)*10 = 15 cao
Answer: 15

Question 4

M1 Find flour per muffin: 150/3 = 50 g oe
A1 For 10 muffins: 10 x 50 = 500 g cao
Answer: 500 g

Question 5

M1 Use scale: 1 cm = 5 km so cm = 14 / 5 oe
A1 Distance = 2.8 cm cao
Answer: 2.8 cm

Question 6

M1 Total parts 3+2+1 = 6, one part = 36/6 = 6 oe
A1 Smallest share = 1 part = £6 cao
Answer: £6

Question 7

(a) B1 15 miles per gallon cao
(a) Answer: 15 mpg
(b) M1 Use mpg: gallons = 300 / 15 oe
(b) A1 gallons = 20.0 to 1 dp cao
(b) Answer: 20.0 gallons

Question 8

M1 Let original price be P. After 20% reduction price = 0.8P so 0.8P = 24 oe
A1 P = 24 / 0.8 = 30 cao
A1 State original price £30 cao
Answer: £30

Question 9

M1 Total parts 4 + 7 = 11, one part = 99/11 = 9 oe
A1 Smaller quantity = 4 parts = 4 x 9 = 36 cao
A1 State smaller quantity 36 cao
Answer: 36

Proportion: Foundation Tier Practice - Worksheets, Questions and Revision