Geometry 3c: Mastery Questions
Guidance Notes - To answer each question, click on the letter that corresponds to the correct answer. You then need to click the 'Check' button to see if you are correct. If your answer is incorrect, you will be given a hint on how to get the correct answer. You then need to click the 'Try again' button to attempt the question once more.
Area Questions
1. A trapezium is placed on a grid of 1 cm by 1 cm squares as shown.

What is the area of the trapezium?

  A  
  B  
  C  
  D  
32 cm2
20 cm2
16 cm2
12 cm2
     
2. What is the area of this trapezium?

  A  
  B  
  C  
  D  
12 cm2
15 cm2
18 cm2
20 cm2
     
3. What is the area of this trapezium?

  A  
  B  
  C  
  D  
64 cm2
80 cm2
34 cm2
128 cm2
     
4. What is the area of the rhombus?

  A  
  B  
  C  
  D  
30 cm2
54 cm2
108 cm2
216 cm2
     
5. Estimate the area of this shape.

  A  
  B  
  C  
  D  
8 cm2
10 cm2
12 cm2
14 cm2
     
6. The distance around a circle is ...

  A  
Just less than six times the radius
  B  
Exactly six times the radius
  C  
Just over six times the radius
  D  
Just over three times the radius
     
7. The circumference of this circle is approximately ...

  A  
  B  
  C  
  D  
108 cm
54 cm
144 cm
216 cm
    
8. What is the circumference of this circle to 1 d.p.?

  A  
  B  
  C  
  D  
42.0 cm
44.0 cm
84.0 cm
88.0 cm
    
9. What is the circumnference of this shape to 1 d.p.?

  A  
  B  
  C  
  D  
31.4 cm
23.6 cm
33.6 cm
41.4 cm
    
10. What is the area of this circle to 1 d.p.?

  A  
  B  
  C  
  D  
153.9 cm2
154.0 cm2
44.0 cm2
307.9 cm2
    
11. This shape is made from a rectangle and a semi-circle. What is its area to 1 d.p.?

  A  
  B  
  C  
  D  
832.0 cm2
530.9 cm2
1097.5 cm2
1362.9 cm2
    
12. A circle has a circumference of 51.52 cm. What is the radius of the circle to 1 d.p.?

  A  
  B  
  C  
  D  
16.4 cm
8.2 cm
8.6 cm
17.2 cm
    
13. A semi-circle has an area of 138.80 cm2. What is the diameter of the semi-circle to 1 d.p.?

  A  
  B  
  C  
  D  
18.8 cm
9.6 cm
19.2 cm
9.4 cm
    
14. Which of these lines cuts the shaded area into two equal parts?

  A  
  B  
  C  
  D  
PS
QT
RT
RS
    
For Question 15, you will need to answer them using paper and pencil and then click the 'Check' button to see if you have done them correctly.
15. Calculate the red area in this badge. You must show your working.

     
Volume Questions
16. What is the volume of this compound shape made from various cuboids?

  A  
  B  
  C  
  D  
40 cm3
480 cm3
576 cm3
864 cm3
    

17.		 Which of these calculations is not correct to calculate the volume of this compund shape made from two cuboids?

  A  
4 × 11 × 3 + 2 × 3 × 3
  B  
6 × 3 × 3 + 8 × 3 × 4
  C  
11 × 6 × 3 − 8 × 2 × 3
  D  
6 × 3 × 8 + 2 × 2 × 3
    
18. The rostrum at the school sports day is made up of three square based cuboids of height 0.5 m, 1 m and 1.5 m.

What is the volume of the rostrum?

  A  
  B  
  C  
  D  
2.25 m3
4.5 m3
6.75 m3
10.125 m3
    
19. A fuel storage tank is made up of two cuboids.

What is the capacity of the tank in litres?

  A  
  B  
  C  
  D  
7.24 L
72.24 L
722.4 L
7224 L
    
20. Evie's mum stores her homemade lemonade in cuboid shaped stone containers as shown below.

If she has made 20 litres of lemonade, how many containers can she fill completely?

  A  
  B  
  C  
  D  
20
25
27
28
    
21. Two pizza boxes are stacked together as shown.

What is the surface area of the shape formed?

  A  
  B  
  C  
  D  
2050 cm2
2850 cm2
4100 cm2
5000 cm2
    
22. What is the surface area of this step made from 3 identical cuboids?

  A  
  B  
  C  
  D  
22200 cm2
13800 cm2
18000 cm2
36000 cm2
    
23. What is the capacity of this aquarium in litres?

  A  
  B  
  C  
  D  
80 L
96 L
8000 L
80000 L
    
24. A cuboid has these two faces shown below.

What is the surface area of the cuboid?

  A  
  B  
  C  
  D  
1995 cm2
2010 cm2
3990 cm2
14850 cm2
    
25. A three dimensional cross is made out of identical cubes as shown.

The volume of the cross is 448 cm3. What is the surface area of the cross?

  A  
  B  
  C  
  D  
448 cm2
480 cm2
560 cm2
672 cm2
    
For Questions 26 and 27, you will need to answer them using paper and pencil and then click the 'Check' button to see if you have done them correctly.
26. The tank shown below is filled to three quarters of its capacity. How deep is the water in the tank?

A large stone is then put into the tank and the level of water goes up by 2 cm.
What is the volume of the stone?     
27. A cuboid is cut away from a cube as shown.

By what fraction does the total surface area of the solid decrease as a result?     
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