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Topical›Mathematics - International 0607›Number›Ratio and proportion›Paper 2

Ratio and proportion — Paper 2 · IGCSE Mathematics - International 0607

C1.10· 10 questions · 23 marks · 28 min · 2017–2023· Structured questions

Every Cambridge IGCSE Mathematics - International Paper 2 question on ratio and proportion, laid out as 4 A4 pages with the mark scheme below. Nothing is left out. Free to read, no account.

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Questions4 pages

Question 1: $144 is shared in the ratio 1 : 7. Find the value of the smaller share. $ ................................................... [2]Question 2: Kim has a piece of rope 18 metres long. He cuts the rope into two pieces. The lengths of the pieces are in the ratio 1 : 5. Calculate the l…Question 3: Divide 360 in the ratio 7 : 2. ......................... , ......................... [2]1 / 4
Question 4: A travel agent has the following exchange rates. £1 = $1.25 £1 = €1.20 (a) Change £200 into dollars ($). $ ................................…Question 5: A bag contains red balls, blue balls and green balls only. There are twice as many blue balls as green balls. There are twice as many red b…2 / 4
Question 6: Running Football 45° 60° Tennis Swimming The pie chart shows the favourite sports of all the students at a school. 180 students chose runni…Question 7: Divide 96 cm in the ratio 5 : 3. ............................ cm , ....................... cm [2]Question 8: Divide 120 in the ratio 3 : 5. ....................... , ....................... [2]3 / 4
Question 9: $126 is divided into 3 shares in the ratio 1 : 2 : 4 . Find the value of the largest share. $ .............................................…Question 10: The angles of a triangle are in the ratio 2 : 3 : 7. Find each angle. .................... , .................... , .................... [3]4 / 4

Mark scheme10 answers

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Mathematics - International 0607 · Ratio and proportion — Paper 2

IGCSE · topical answer key — answer key (teacher use)

Question

Answer

Marks

1Mark scheme for question 12
2Mark scheme for question 22
3Mark scheme for question 32
4Mark scheme for question 43
5Mark scheme for question 52
6Mark scheme for question 63
7Mark scheme for question 72
8Mark scheme for question 82
9Mark scheme for question 92
10Mark scheme for question 103
QuestionAnswerMarksFrom
1see sheet20607/23 Oct/Nov 2017
2see sheet20607/23 May/June 2018
3see sheet20607/21 May/June 2019
4see sheet30607/23 May/June 2019
5see sheet20607/22 May/June 2020
6see sheet30607/22 May/June 2020
7see sheet20607/23 May/June 2020
8see sheet20607/21 Oct/Nov 2020
9see sheet20607/23 Oct/Nov 2021
10see sheet30607/23 Oct/Nov 2023

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Questions as text

Q1 · $144 is shared in the ratio 1 : 7 0607/23 Oct/Nov 2017

4 $144 is shared in the ratio 1 : 7. Find the value of the smaller share. $ … [2]

2 marks

Mark scheme: 4 18 2 144 M1 for oe 8

This question in 0607/23 Oct/Nov 2017

Q2 · Kim has a piece of rope 18 metres long 0607/23 May/June 2018

9 Kim has a piece of rope 18 metres long. He cuts the rope into two pieces. The lengths of the pieces are in the ratio 1 : 5. Calculate the length of each piece. … m … m [2]

2 marks

Mark scheme: 9 3, 15 oe 2 B1 for either or M1 for 18 ÷ (1 + 5)

This question in 0607/23 May/June 2018

Q3 · Divide 360 in the ratio 7 : 2 0607/21 May/June 2019

2 Divide 360 in the ratio 7 : 2. … , … [2]

2 marks

Mark scheme: 2 280, 80 2 B1 for each or M1 for 360 ÷ (7 + 2) soi by 40

This question in 0607/21 May/June 2019

Q4 · A travel agent has the following exchange rates 0607/23 May/June 2019

11 A travel agent has the following exchange rates. £1 = $1.25 £1 = €1.20 (a) Change £200 into dollars ($). $ … [1] (b) Change $100 into euros (€). € … [2]

3 marks

Mark scheme: 11(a) 250 1 11(b) 96 2 120 M1 for 100 × oe 125

This question in 0607/23 May/June 2019

Q5 · A bag contains red balls, blue balls and green balls only 0607/22 May/June 2020

4 A bag contains red balls, blue balls and green balls only. There are twice as many blue balls as green balls. There are twice as many red balls as blue balls. There are 16 blue balls in the bag. Find the total number of balls in the bag. … [2]

2 marks

Mark scheme: 4 56 2 M1 for 32 or 8 seen

This question in 0607/22 May/June 2020

Q6 · Running Football 45° 60° Tennis Swimming The pie chart shows the favourite sports of all… 0607/22 May/June 2020

11 Running Football 45° 60° Tennis Swimming The pie chart shows the favourite sports of all the students at a school. 180 students chose running as their favourite sport. Work out (a) the total number of students at the school, … [1] (b) the number of students that chose football as their favourite sport. … [2]

3 marks

Mark scheme: 11(a) 720 1 11(b) 330 2 M1 for 360 − (90 + 45 + 60)[×their ( a )] 360

This question in 0607/22 May/June 2020

Q7 · Divide 96 cm in the ratio 5 : 3 0607/23 May/June 2020

7 Divide 96 cm in the ratio 5 : 3. … cm , … cm [2]

2 marks

Mark scheme: 7 60, 36 2 B1 for each or M1 for 96 ÷ (5 + 3)

This question in 0607/23 May/June 2020

Q8 · Divide 120 in the ratio 3 : 5 0607/21 Oct/Nov 2020

5 Divide 120 in the ratio 3 : 5. … , … [2]

2 marks

Mark scheme: 5 45 and 75 2 M1 for 120 ÷ 8 oe soi 15

This question in 0607/21 Oct/Nov 2020

Q9 · $126 is divided into 3 shares in the ratio 1 : 2 : 4 0607/23 Oct/Nov 2021

3 $126 is divided into 3 shares in the ratio 1 : 2 : 4 . Find the value of the largest share. $ … [2]

2 marks

Mark scheme: 3 72 2 M1 for 126 ÷ 7 oe

This question in 0607/23 Oct/Nov 2021

Q10 · The angles of a triangle are in the ratio 2 : 3 : 7 0607/23 Oct/Nov 2023

6 The angles of a triangle are in the ratio 2 : 3 : 7. Find each angle. … , … , … [3]

3 marks

Mark scheme: 6 30, 45, 105 3 180 180 180 M2 for two of  2  3  7 12 12 12 seen 180 or M1 for 2 + 3 + 7

This question in 0607/23 Oct/Nov 2023