this is a really useful PowerPoint that will give your students good revision notes and be able to work some questions out that will test their knowledge on the topic. there are also timers that will get them to answer questions quickly so that they are ready for their exams. this is targeted at a grade 3-4 in the new GCSE mark scheme. the exam questions included all say how many marks that they will get if they get it all right.
10. How to work out
surface area of a
shape .
Each shape has a
different formula
here are a few..
You have 1min
to copy this
11. 1. (a) Christopher buys a fish tank.
The dimensions of the tank are 91 cm by
32 cm by 35 cm.
(i) Calculate the volume of the tank in cm³.
...................................................................
...................................................................
...................................................................
...................................
(ii)How many litres of water will the tank hold
when full?
(1000 cm³ = 1 litre)
...................................................................
...................................................................
(2)
35cm
32cm
91cm
(i) Volume of a cuboid = l x b x h
V = 91 x 32 x 35
V = 101920 cm³
(ii) 101920 ÷ 1000 = 101.92 litres
13. Q1
Try to work
out this
Question you
have 1mins. Work out the total surface area of the cube.
(3)
14. Q2
Try to work
out this
Question you
have 1mins.
Work out the total surface area of the triangular
prism.
(4)
15. Q3
Try to work
out this
Question you
have 1 mins.
Work out the volume of the prism.
(3)
16. Q4
Try to work
out this
Question you
have 1mins.
Work out the volume of the eraser. Give the units of your
answer
(3)
17. Q5
Try to work
out this
Question you
have 1 mins.
Work out the volume of the prism.
_ _ _ _ _ cm3
(3)
18. Q6
Try to work
out this
Question you
have 1mins. Work out the volume of liquid needed to fill the glass.
________ cm3
(3)
19. Q7
Try to work
out this
Question you
have 1 mins.
12 cm
10 cm
Diagram NOT accurately drawn
The diagram represents a cone.
The height of the cone is 12 cm.
The diameter of the base of the cone is 10 cm.
Calculate the curved surface area of the cone.
Give your answer as a multiple of .
…………….. cm2
(3)
20. Challenge questions – Find the Volume
V = 48cm3 V = 50cm3 V = 108cm3
Try to work
out these
Questions
you have
5mins.
22. A cylinder has a radius of 5 cm.
(a) Calculate the circumference of a
circular end of the cylinder.
[2 marks]
The cylinder has a volume of 250 cm3.
(b)Calculate the height of the cylinder.
[3 marks]
23. A school hall is in the shape of a
cuboid.
The school hall is 30 m long, 12 m
wide and 4 m tall, as shown in the
diagram.
(a) Calculate the volume of the hall.
[2 marks]
(b) Calculate the total area of the
four walls of the hall.
[3 marks]
24. The diagram shows a cylinder.
The diameter of the cylinder is 10 cm.
The height of the cylinder is 10 cm.
(a) Calculate the volume of the
cylinder.
Give your answer in terms of π.
[3 marks]
25. The diagram, shows a container in the
shape of a cuboid.
(a) Work out the volume of the
container. State the units of your
answer.
[3 marks]
Ben wants to paint the four outside walls
and the top of the container.
One tin of paint covers 6 m2.
(b) How many tins of paint does Ben
need?
You must show all your working.
[4 marks]
26. The diagram shows a cylinder.
The diameter of the cylinder is
20 cm.
The height of the cylinder is 2
cm.
Work out the volume of the
cylinder.
Use π = 3.14
[3 marks]
27. Two spheres of radius 5 cm
just fit inside a tube.
Calculate the volume inside
the tube not filled by the
spheres.
[5 marks]