1. Dividing into a Ratio – Foundation – GCSE Questions
These questions are the same format as previous GCSE exams.

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3. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 3, Q22
There are only yellow, black, and purple buttons in a bag.
The ratio of the number of yellow buttons to black buttons is 2:3
The ratio of the number of black buttons to purple buttons is 4:5
There are less than 100 buttons in the bag.
What is the greatest number of purple buttons in the bag? 1
There are only yellow, black, and purple buttons in a bag.
The ratio of the number of yellow buttons to black buttons is 2:3
The ratio of the number of black buttons to purple buttons is 4:5
There are less than 100 buttons in the bag.
What is the greatest number of purple buttons in the bag?
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Foundation: November 2017 Paper 3, Q22
Edexcel Foundation: November 2017 Paper 3, Q22 1
There are only yellow, black, and purple buttons in a bag.
The ratio of the number of yellow buttons to black buttons is 2:3
The ratio of the number of black buttons to purple buttons is 4:5
There are less than 100 buttons in the bag.
What is the greatest number of purple buttons in the bag? 1
There are only yellow, black, and purple buttons in a bag.
The ratio of the number of yellow buttons to black buttons is 2:3
The ratio of the number of black buttons to purple buttons is 4:5
There are less than 100 buttons in the bag.
What is the greatest number of purple buttons in the bag?
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

5. GCSE GCSE 4 5 of the children had seats in the Lower Tier.
Edexcel Foundation: June 2017 Paper 2, Q18
Edexcel Foundation: June 2017 Paper 2, Q18 1
On Sunday, some adults and children were in a football stadium.
The ratio of the number of children to adults was 3:4
Each person had a seat in the Upper Tier or had a seat in the Lower Tier.
4 5 of the children had seats in the Lower Tier.
129 children had seats in the Upper Tier.
There are exactly 2100 seats in the football stadium.
On this Sunday, were there people on more than 70% of the seats?
You must show how you get your answer. 1
On Sunday, some adults and children were in a football stadium.
The ratio of the number of children to adults was 3:4
Each person had a seat in the Upper Tier or had a seat in the Lower Tier.
4 5 of the children had seats in the Lower Tier.
129 children had seats in the Upper Tier.
There are exactly 2100 seats in the football stadium.
On this Sunday, were there people on more than 70% of the seats?
You must show how you get your answer.
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

7. GCSE GCSE GCSE GCSE 2 5 of the tiles are black.
Edexcel Foundation: June 2017 Paper 3, Q5
Edexcel Foundation: June 2017 Paper 3, Q5 1
A pattern is made out of black and yellow tiles.
2 5 of the tiles are black.
(a) Write down the ratio of black tiles to yellow tiles. 1
A pattern is made out of black and yellow tiles.
2 5 of the tiles are black.
(a) Write down the ratio of black tiles to yellow tiles.
There is a total of 65 tiles.
(b) Work out the number of yellow tiles.
There is a total of 65 tiles.
(b) Work out the number of yellow tiles.
(1)
(1)
(2)
(2)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
Edexcel Foundation: June 2017 Paper 3, Q5
GCSE
Edexcel Foundation: June 2017 Paper 3, Q5 1
A pattern is made out of black and yellow tiles.
2 5 of the tiles are black.
(a) Write down the ratio of black tiles to yellow tiles. 1
A pattern is made out of black and yellow tiles.
2 5 of the tiles are black.
(a) Write down the ratio of black tiles to yellow tiles.
There is a total of 65 tiles.
(b) Work out the number of yellow tiles.
There is a total of 65 tiles.
(b) Work out the number of yellow tiles.
(1)
(1)
(2)
(2)
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

9. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 1, Q18
Shane, Mary and Paul share £360 in the ratio 1: 4 : 5
How much money does Paul get? 1
Shane, Mary and Paul share £360 in the ratio 1: 4 : 5
How much money does Paul get?
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks) 2
Jack, Ahmed and Denise share £420 in the ratio 5: 8 : 7
How much money does Denise get? 2
Jack, Ahmed and Denise share £420 in the ratio 5: 8 : 7
How much money does Denise get?
(Total for Question 2 is 2 marks)
(Total for Question 2 is 2 marks)
GCSE
GCSE
Edexcel Foundation: November 2017 Paper 1, Q18
Edexcel Foundation: November 2017 Paper 1, Q18 1
Shane, Mary and Paul share £360 in the ratio 1: 4 : 5
How much money does Paul get? 1
Shane, Mary and Paul share £360 in the ratio 1: 4 : 5
How much money does Paul get?
(Total for Question 1 is 2 marks)
(Total for Question 1 is 2 marks) 2
Jack, Ahmed and Denise share £420 in the ratio 5: 8 : 7
How much money does Denise get? 2
Jack, Ahmed and Denise share £420 in the ratio 5: 8 : 7
How much money does Denise get?
(Total for Question 2 is 2 marks)
(Total for Question 2 is 2 marks)

11. GCSE GCSE GCSE GCSE Edexcel Foundation: November 2017 Paper 3, Q15
The ratio of the cost of one yard of steel to the cost of one yard of copper is 2:5
Complete the table of costs. 1
The ratio of the cost of one yard of steel to the cost of one yard of copper is 2:5
Complete the table of costs.
2 yards
6 yards
8 yards
9 yards
steel
£10
copper
2 yards
6 yards
8 yards
9 yards
steel
£10
copper
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Foundation: November 2017 Paper 3, Q15
Edexcel Foundation: November 2017 Paper 3, Q15 1
The ratio of the cost of one yard of steel to the cost of one yard of copper is 2:5
Complete the table of costs. 1
The ratio of the cost of one yard of steel to the cost of one yard of copper is 2:5
Complete the table of costs.
2 yards
6 yards
8 yards
9 yards
steel
£10
copper
2 yards
6 yards
8 yards
9 yards
steel
£10
copper
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

13. GCSE GCSE 2 7 of the cookies are chocolate cookies.
Edexcel Foundation: June 2017 Paper 3, Q18
Edexcel Foundation: June 2017 Paper 3, Q18 1
Sarah bakes 420 cookies.
She bakes only chocolate cookies, raisin cookies, toffee cookies
and plain cookies. 1
Sarah bakes 420 cookies.
She bakes only chocolate cookies, raisin cookies, toffee cookies
and plain cookies.
2 7 of the cookies are chocolate cookies.
35% of the cookies are raisin cookies.
The ratio of the number of toffee cookies to plain cookies is 4:5
2 7 of the cookies are chocolate cookies.
35% of the cookies are raisin cookies.
The ratio of the number of toffee cookies to plain cookies is 4:5
Work out the number of toffee cookies Sarah bakes.
Work out the number of toffee cookies Sarah bakes.
(Total for Question 1 is 5 marks)
(Total for Question 1 is 5 marks)

16. GCSE 4 5 of the children had seats in the Lower Tier.
Edexcel Foundation: June 2017 Paper 2, Q18 1
On Sunday, some adults and children were in a football stadium.
The ratio of the number of children to adults was 3:4
Each person had a seat in the Upper Tier or had a seat in the Lower Tier.
4 5 of the children had seats in the Lower Tier.
129 children had seats in the Upper Tier.
There are exactly 2100 seats in the football stadium.
On this Sunday, were there people on more than 70% of the seats?
You must show how you get your answer.
(Total for Question 1 is 5 marks)

20. GCSE 2 7 of the cookies are chocolate cookies.
Edexcel Foundation: June 2017 Paper 3, Q18 1
Sarah bakes 420 cookies.
She bakes only chocolate cookies, raisin cookies, toffee cookies
and plain cookies.
2 7 of the cookies are chocolate cookies.
35% of the cookies are raisin cookies.
The ratio of the number of toffee cookies to plain cookies is 4:5
Work out the number of toffee cookies Sarah bakes.
(Total for Question 1 is 5 marks)

21. 30 GCSE Y : B B : P 2:3 4:5 (x4) (x3) 8:12 12:15 Y : B : P 8 : 12 : 15
Edexcel Foundation: November 2017 Paper 3, Q22 1
There are only yellow, black, and purple buttons in a bag.
The ratio of the number of yellow buttons to black buttons is 2:3
The ratio of the number of black buttons to purple buttons is 4:5
There are less than 100 buttons in the bag.
What is the greatest number of purple buttons in the bag?
Y : B : P
8 : 12 : 15
16: 24 : 30
24 : 36 : 45
1:Match Ratios
= 35 parts
Y : B
2:3
(x4)
8:12
= 35 buttons
B : P
4:5
(x3)
12:15
= 70 buttons
= 105 buttons 30
(Total for Question 1 is 3 marks)

22. Yes, there were people on more than 70% of the seats.
GCSE
Edexcel Foundation: June 2017 Paper 2, Q18 1
On Sunday, some adults and children were in a football stadium.
The ratio of the number of children to adults was 3:4
Each person had a seat in the Upper Tier or had a seat in the Lower Tier.
4 5 of the children had seats in the Lower Tier.
129 children had seats in the Upper Tier.
There are exactly 2100 seats in the football stadium.
On this Sunday, were there people on more than 70% of the seats?
You must show how you get your answer.
1: Number of Children
LT = 4 5
UP = = 129
Total Children = 5 x 129
= 645
Children : Adults
3 : 4
1 part = 215
645 : 860
= 1505
70% of 2100
0.7 x 2100 = 1470
1470 < 1505
Yes, there were people on more than 70% of the seats.
(Total for Question 1 is 5 marks)

23. GCSE B : Y 2 5 : 3 5 5 pieces 2 : 3 13 x 3 = 39 B : Y 2 : 3 = 5 pieces
Edexcel Foundation: June 2017 Paper 3, Q5 1
A pattern is made out of black and yellow tiles.
2 5 of the tiles are black.
(a) Write down the ratio of black tiles to yellow tiles.
B : Y
2 5 : 3 5
5 pieces
2 : 3
There is a total of 65 tiles.
(b) Work out the number of yellow tiles.
(1)
B : Y
2 : 3
13 x 3 = 39
= 5 pieces 39
65 5 = 13 per piece
(2)
(Total for Question 1 is 3 marks)

24. GCSE
Edexcel Foundation: November 2017 Paper 1, Q18 1
Shane, Mary and Paul share £360 in the ratio 1: 4 : 5
How much money does Paul get?
Paul gets 5 parts
36 x 5 = 180
1 : 4 : 5 = 10 parts
360 ÷ 10 = £36
180
(Total for Question 1 is 2 marks) 2
Jack, Ahmed and Denise share £420 in the ratio 5: 8 : 7
How much money does Denise get?
Denise gets 7 parts
21 x 7 = 147
5 : 8 : 7 = 20 parts
420 ÷ 20 = £21
147
(Total for Question 2 is 2 marks)

25. GCSE £30 £40 £45 £25 £75 £100 £112.50 Steel: 2 yards = £10 1 yard = £5
Edexcel Foundation: November 2017 Paper 3, Q15 1
The ratio of the cost of one yard of steel to the cost of one yard of copper is 2:5
Complete the table of costs.
Steel: 2 yards = £10
1 yard = £5
Complete top row
2 yards
6 yards
8 yards
9 yards
steel
£10
£30
£40
£45
copper
£25
£75
£100
£112.50
(Total for Question 1 is 3 marks)

26. GCSE
Edexcel Foundation: June 2017 Paper 3, Q18 1
Sarah bakes 420 cookies.
She bakes only chocolate cookies, raisin cookies, toffee cookies
and plain cookies.
2 7 of the cookies are chocolate cookies.
35% of the cookies are raisin cookies.
The ratio of the number of toffee cookies to plain cookies is 4:5
Work out the number of toffee cookies Sarah bakes.
Choc
2/7 of 420
= 120
Raisin
0.35 x 420
= 147
Toffee + Plain = 420 – 120 – 147 = 153
Toffee : Plain
4 : 5
9 parts,
1 part = = 17
Toffee = 4 parts
= 4 x 17
= 68
80 Toffee Cookies
(Total for Question 1 is 5 marks)

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