1. Ratios – Combining – Higher – GCSE Questions
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in a variety of sizes.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. GCSE GCSE GCSE GCSE Edexcel Higher: November 2017 Paper 2, Q4
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen. 1
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen.
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Higher: November 2017 Paper 2, Q4
Edexcel Higher: November 2017 Paper 2, Q4 1
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen. 1
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen.
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

5. GCSE GCSE GCSE GCSE Edexcel Higher: November 2017 Paper 3, Q4
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 Higher: November 2017 Paper 3, Q4
Edexcel Higher: November 2017 Paper 3, Q4 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)

7. GCSE GCSE GCSE GCSE Edexcel Higher: June 2017 Paper 3, Q12
The points A, B, C and D lie in order on a straight line.
AB : BD = 1:5
AC : CD = 7:11
Work out AB : BC : CD 1
The points A, B, C and D lie in order on a straight line.
AB : BD = 1:5
AC : CD = 7:11
Work out AB : BC : CD : : : :
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Higher: June 2017 Paper 3, Q12
Edexcel Higher: June 2017 Paper 3, Q12 1
The points A, B, C and D lie in order on a straight line.
AB : BD = 1:5
AC : CD = 7:11
Work out AB : BC : CD 1
The points A, B, C and D lie in order on a straight line.
AB : BD = 1:5
AC : CD = 7:11
Work out AB : BC : CD : : : :
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

9. GCSE GCSE Edexcel Higher: May 2017 Paper 1, Q14
Yellow pieces and blue pieces are used in a pattern.
Some of the shapes are triangles.
All the other shapes are rectangles.
The ratio of the number of yellow pieces to the number of blue pieces is 3:7
The ratio of the number of yellow triangles to the number of yellow rectangles is 4:5
The ratio of the number of blue triangles to the number of blue rectangles is 2:5
Work out what fraction of all the shapes are triangles.
Yellow pieces and blue pieces are used in a pattern.
Some of the shapes are triangles.
All the other shapes are rectangles.
The ratio of the number of yellow pieces to the number of blue pieces is 3:7
The ratio of the number of yellow triangles to the number of yellow rectangles is 4:5
The ratio of the number of blue triangles to the number of blue rectangles is 2:5
Work out what fraction of all the shapes are triangles.
(Total for Question 1 is 4 marks)
(Total for Question 1 is 4 marks)

11. GCSE GCSE GCSE GCSE Edexcel Higher: May 2018 Paper 1, Q2
In a village
the number of houses and the number of flats are in the ratio 5 : 3
the number of flats and the number of bungalows are in the ratio 6 : 5
There are 50 bungalows in the village.
How many houses are there in the village? 1
In a village
the number of houses and the number of flats are in the ratio 5 : 3
the number of flats and the number of bungalows are in the ratio 6 : 5
There are 50 bungalows in the village.
How many houses are there in the village?
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Higher: May 2018 Paper 1, Q2
Edexcel Higher: May 2018 Paper 1, Q2 1
In a village
the number of houses and the number of flats are in the ratio 5 : 3
the number of flats and the number of bungalows are in the ratio 6 : 5
There are 50 bungalows in the village.
How many houses are there in the village? 1
In a village
the number of houses and the number of flats are in the ratio 5 : 3
the number of flats and the number of bungalows are in the ratio 6 : 5
There are 50 bungalows in the village.
How many houses are there in the village?
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

16. GCSE Edexcel Higher: May 2017 Paper 1, Q14
Yellow pieces and blue pieces are used in a pattern.
Some of the shapes are triangles.
All the other shapes are rectangles.
The ratio of the number of yellow pieces to the number of blue pieces is 3:7
The ratio of the number of yellow triangles to the number of yellow rectangles is 4:5
The ratio of the number of blue triangles to the number of blue rectangles is 2:5
Work out what fraction of all the shapes are triangles.
(Total for Question 1 is 4 marks)

17. GCSE Edexcel Higher: May 2018 Paper 1, Q2 1 In a village
the number of houses and the number of flats are in the ratio 5 : 3
the number of flats and the number of bungalows are in the ratio 6 : 5
There are 50 bungalows in the village.
How many houses are there in the village?
(Total for Question 1 is 3 marks)

18. 19 parts in total, 1 black pen
GCSE
Edexcel Higher: November 2017 Paper 2, Q4 1
There are only red, black and yellow pens in a box.
There are
three times as many red pens as black pens
and five times as many yellow pens as red pens.
Toby takes at random a pen from the box.
Work out the probability that Toby takes a black pen.
Red : Black
3:1
Yellow : Red
5:1
= 15:3
Yellow : Red : Black
15 : : 1
= 19
19 parts in total, 1 black pen
1 19
(Total for Question 1 is 3 marks)

19. 30 GCSE Y : B B : P 2:3 4:5 (x4) (x3) 8:12 12:15 Y : B : P 8 : 12 : 15
Edexcel Higher: November 2017 Paper 3, Q4 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)

20. A B D 6 parts 18 parts C AB:BD = 1:5 = 3:15 AC:CD = 7:11 AB : BC : CD
GCSE
Edexcel Higher: June 2017 Paper 3, Q12 1
The points A, B, C and D lie in order on a straight line.
AB : BD = 1:5
AC : CD = 7:11
Work out AB : BC : CD A B D
6 parts
18 parts C
AB:BD
= 1:5
= 3:15
AC:CD
= 7:11
AB :
BC : CD 3 4 11 : :
(Total for Question 1 is 3 marks)

21. GCSE
Edexcel Higher: May 2017 Paper 1, Q14 1
Yellow pieces and blue pieces are used in a pattern.
Some of the shapes are triangles.
All the other shapes are rectangles.
The ratio of the number of yellow pieces to the number of blue pieces is 3:7
The ratio of the number of yellow triangles to the number of yellow rectangles is 4:5
The ratio of the number of blue triangles to the number of blue rectangles is 2:5
Work out what fraction of all the shapes are triangles.
Convert ratios to fractions,
and use to find fractions of quantities.
Yellow
Triangle
Yellow Triangles = x =
Blue Triangles = x = = =
Blue
Triangle
Yellow Triangle + Blue Triangles
= = = 1 3
1 3
(Total for Question 1 is 4 marks)

22. H F B 10 : 6 : 5 100 : 60 : 50 100 Houses GCSE Combine ratios x 10 H F
Edexcel Higher: May 2018 Paper 1, Q2 1
In a village
the number of houses and the number of flats are in the ratio 5 : 3
the number of flats and the number of bungalows are in the ratio 6 : 5
There are 50 bungalows in the village.
How many houses are there in the village?
H F B
10 : 6 : 5
Combine ratios
x 10
H F
5 : 3
F B
6 : 5
100 : 60 : 50
x 2
10 : 6
100 Houses
(Total for Question 1 is 3 marks)

23. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
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