1. Similar Shapes – Length, Area & Volume – 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 3, Q14
Cone A and cone B are mathematically similar.
The ratio of the volume of cone A to the volume of cone B is 27 : 8
The surface area of cone A is 297 cm2
Show that the surface are of cone B is 132 cm2 1
Cone A and cone B are mathematically similar.
The ratio of the volume of cone A to the volume of cone B is 27 : 8
The surface area of cone A is 297 cm2
Show that the surface are of cone B is 132 cm2
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)
GCSE
GCSE
Edexcel Higher: November 2017 Paper 3, Q14
Edexcel Higher: November 2017 Paper 3, Q14 1
Cone A and cone B are mathematically similar.
The ratio of the volume of cone A to the volume of cone B is 27 : 8
The surface area of cone A is 297 cm2
Show that the surface are of cone B is 132 cm2 1
Cone A and cone B are mathematically similar.
The ratio of the volume of cone A to the volume of cone B is 27 : 8
The surface area of cone A is 297 cm2
Show that the surface are of cone B is 132 cm2
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

5. GCSE GCSE Edexcel Higher: June 2018 Paper 3, Q13
Here are two similar solid shapes. 1
Here are two similar solid shapes.
Surface area of shape A : surface area of shape B = 5 : 9
The volume of shape B is 30cm3
Work out the volume of shape B.
Give you answer correct to 3 significant figures.
Surface area of shape A : surface area of shape B = 5 : 9
The volume of shape B is 30cm3
Work out the volume of shape B.
Give you answer correct to 3 significant figures.
cm3
cm3
(Total for Question 1 is 3 marks)
(Total for Question 1 is 3 marks)

8. GCSE Edexcel Higher: June 2018 Paper 3, Q13 1
Here are two similar solid shapes.
Surface area of shape A : surface area of shape B = 5 : 9
The volume of shape B is 30cm3
Work out the volume of shape B.
Give you answer correct to 3 significant figures.
cm3
(Total for Question 1 is 3 marks)

9. GCSE Volume Scale Factor = 27 : 8 (cube root)
Edexcel Higher: November 2017 Paper 3, Q14 1
Cone A and cone B are mathematically similar.
The ratio of the volume of cone A to the volume of cone B is 27 : 8
The surface area of cone A is 297 cm2
Show that the surface are of cone B is 132 cm2
Volume Scale Factor = 27 : 8
(cube root)
Length Scale Factor = 3 : 2
(square)
Area Scale Factor = 9 : 4
× 4=132 cm2
(Total for Question 1 is 3 marks)

10. Area Ratio = 5 : 9 Length Ratio = 5 : 9 5 :3 Volume Ratio = 5 3:33
GCSE
Edexcel Higher: June 2018 Paper 3, Q13 1
Here are two similar solid shapes.
Surface area of shape A : surface area of shape B = 5 : 9
The volume of shape B is 30cm3
Work out the volume of shape B.
Give you answer correct to 3 significant figures.
Area Ratio = 5 : 9
Length Ratio = 5 : 9
5 :3
Volume Ratio = :33
= :27
Volume of B = 30
30 27 ×
=12.422…
12.4
cm3
(Total for Question 1 is 3 marks)

11. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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