Geometry 1c: 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.
1. Here are some shapes drawn on a 1 cm square grid.

Three of them have a perimeter of 14 cm. Which one does not have a perimeter of 14 cm?

  A     B     C     D  
    

2.

All these shapes have an area of 16 cm2, but which one has a different perimeter to the others?

  A     B     C     D  
    

3. One side of a square is 6 cm. What is the perimeter of the square?

  A  
12 cm
  B  
24 cm
  C  
36 cm
  D  
6 cm
    

4. Which of these rectangles has the same area aas the yellow shape?

  A     B     C     D  
    

5. Amber has drawn two rectangles on centimetre squared paper. The first one has length 6 squares and width 3 squares. The second has length 5 squares and a width of 4 squares. What is the combined area of the rectangles.

  A  
36 cm
  B  
36 cm2
  C  
38 cm2
  D  
18 cm2
    

6. What is the total combined area of these 4 shapes, each made from 1 cm square tiles?

  A  
18 cm2
  B  
19 cm2
  C  
20 cm2
  D  
21 cm2
    

7. A rectangle measures 7 cm long and 3 cm wide. What is the area of the rectangle?

  A  
10 cm
  B  
10 cm2
  C  
20 cm2
  D  
21 cm2
    

8. Alice has drawn a square using 1 cm square paper. What could be the area of the square be?

  A  
20 cm2
  B  
24 cm2
  C  
30 cm2
  D  
36 cm2
    

9. Amber, Jon and Taro were asked to calculate the area of the floor of the PE store. The each did it a different way. Who is correct?

  A  
Amber: 6 × 3 + 2 × 2
  B  
Jon: 5 × 2 + 3 × 4
  C  
Taro: 5 × 6 − 2 × 4
  D  
They are all correct
    

10. This shape is made up of 3 identical rectangles. What is the area of the shape?

  A  
18 cm2
  B  
36 cm2
  C  
54 cm2
  D  
63 cm2
    

11. This shape is made up of 3 identical rectangles. What is the area of the shape?

  A  
26 cm2
  B  
56 cm2
  C  
72 cm2
  D  
1280 cm2
    

12. Taro drew this shape on 1 cm square paper. What is the area of this shape?

  A  
6 cm2
  B  
9 cm2
  C  
12 cm2
  D  
You can't work it out
    

For Questions 13, 14 and 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.
13. Calculate the area of this shape.

    

14. Estimate the area covered by this forest.

    


15.
Matthew says his rectangle has a perimeter of 30 cm and an area of 50 cm2. Sarah says her rectangle also has a perimeter of 30 cm but has an area of 56 cm2.

Can they both be correct? Use drawings to support your thinking.     

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