Geometry 2c: 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. What is the perimeter of this parallelogram?

  A  
  B  
  C  
  D  
21.2 cm
42.4 cm
30.4 cm
48 cm
     
2. What is the area of the parallelogram in Question 1?

  A  
  B  
  C  
  D  
21.2 cm2
42.4 cm2
30.4 cm2
48 cm2
     
3. What is the perimter of this parallelogram?

  A  
  B  
  C  
  D  
133 cm
49 cm
210 cm
38.5 cm
     
4. What is the area of the parallelogramin Question 3?

  A  
  B  
  C  
  D  
133 cm2
49 cm2
210 cm2
38.5 cm2
     
5. What is the area of this parallelogram?

  A  
  B  
  C  
  D  
27 m2
43.2 m2
57.6 m2
28.2 m2
     
6. What is the 'height' of this parallelogram if BC is taken to be the base and the area is 42 cm2?

  A  
  B  
  C  
  D  
5.25 cm
6.5 cm
7 cm
8 cm
     
7. What are the height of this parallelogram if AB is taken to be the base and the area is 532 cm2?

  A  
  B  
  C  
  D  
10.8 cm
17.7 cm
28 cm
48 cm
    
8. What is the perimeter of this equilateral triangle?

  A  
  B  
  C  
  D  
62.4 cm
28.4 cm
124.8 cm
36 cm
    
9. What is the area of the triangle in Question 8?

  A  
  B  
  C  
  D  
62.4 cm2
28.4 cm2
124.8 cm2
36 cm2
    
10. What is the area of this triangle?

  A  
  B  
  C  
  D  
60 cm2
30 cm2
26.3 cm2
37.8 cm2
    
For Questions 11, 12 and 13, you will need to answer them using paper and pencil and then click the 'Check' button to see if you have done them correctly.
11. Calculate the area of this shape?

    
12. Calculate the area of the green shape.

    

13.		 A rectangle has the same area as a triangle whose area 22.5 cm2.
What might the dimensions of the rectangle and triangle be?     
Volume Questions
14. Which of the following cubes and cuboids does not have the same volume as the other three?

  A  
  B  
  C  
  D  
    
15. The dimensions of a cuboid are given on the diagram below
What is the volume of the cuboid?

  A  
  B  
  C  
  D  
32 cm3
96 cm3
256 cm3
768 cm3
    
16. A sandpit has the dimensions shown. What is the volume of the sandpit?

  A  
  B  
  C  
  D  
180 cm3
180 m3
18 m3
1.8 m3
    

17.		 A small box has a volume of 72 cm3. What is the value of the missing length?

  A  
  B  
  C  
  D  
4 cm
12 cm
13 cm
18 cm
    
18. How many cubes are required to make this solid below?

  A  
  B  
  C  
  D  
33
36
66
72
    
19. How many more cubes would be needed to make this a cube of side length 4?

  A  
  B  
  C  
  D  
20
64
9
57
    
20. 15 identical books are tightly packed into a large box for transportation.
The dimension of the box are shown in the diagram. What is the volume of on book?

  A  
  B  
  C  
  D  
14175 cm3
2835 cm3
945 cm3
225 cm3
    
21. The dimensions of a fish tank are shown below. What is the capacity of the tank in litres?

  A  
  B  
  C  
  D  
47.25 L
472.5 L
4725 L
47250 L
    
22. A rectangular box is made out of cubes. The end of the box looks like this.

Which of these answers could not be the volume of the box?

  A  
  B  
  C  
  D  
24
39
54
72
    
For Questions 23 and 24, you will need to answer them using paper and pencil and then click the 'Check' button to see if you have done them correctly.
23. The tank shown is filled to two thirds 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?     
24. Small packets of raisins are sold in rectangular boxes as shown.

They are then tightly packed in larger rectangular shipping boxes each containing 16 packets.
Work out the dimensions of three possible shipping boxes.     
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