Scale factors – Medium – Primrose Kitten

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Scale factors – Medium

Last updated: 24/08/2021

GCSE Maths – Foundation Scale factors Scale factors – Medium

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Question 1 of 25

1. Question
A square is enlarged by a scale factor of 1/2. If one of the sides were 98 cm, what is the length of the new side?
- 49 cm
- 147 cm
- 196 cm
- 50 cm
Correct

Incorrect
Question 2 of 25

2. Question
A line is enlarged by a scale factor of 4. If one of the sides were 14 cm, what is the length of the new side?
- 56 cm
- 70 cm
- 10 cm
- 18 cm
Correct

Incorrect
Question 3 of 25

3. Question
A rectangle is enlarged so its original area is 13 cm $^2$ and its new area is 65 cm $^2$ . What is its area scale factor?
- 5
- 13
- 25
- √5
Correct

Incorrect
Question 4 of 25

4. Question
A square has an area of 25 cm $^2$ . The square is enlarged by a length scale factor of 2. What is the new area of the square?
- 100 cm $^2$
- 200 cm $^2$
- 500 cm $^2$
- (25/2) cm $^2$
Correct

Incorrect
Question 5 of 25

5. Question
A quadrilateral is enlarged so its original area is 46 m $^2$ and its new area is 184 m $^2$ . What is its area scale factor?
- 4
- 16
- 23
- 2
Correct

Incorrect
Question 6 of 25

6. Question
A triangle is enlarged by an unknown scale factor. If the length of one side was 15 cm and the new side is 75 cm, what is the scale factor?
- 5
- 4
- 15
- 60
Correct

Incorrect
Question 7 of 25

7. Question
A heptagon is enlarged by a scale factor of 12. If one of the sides were 11 cm, what is the length of the new side?
- 132 cm
- 144 cm
- (11/12) cm
- 121 cm
Correct

Incorrect
Question 8 of 25

8. Question
A rectangle is enlarged so its original area is 10 cm $^2$ and its new area is 50 cm $^2$ . What is its area scale factor?
- 5
- 10
- 20
- √5
Correct

Incorrect
Question 9 of 25

9. Question
A rectangle is enlarged so its original area is 12 cm $^2$ and its new area is 48 cm $^2$ . What is its length scale factor?
- 2
- 6
- 4
- 16
Correct

Incorrect
Question 10 of 25

10. Question
A trapezium is enlarged by a scale factor of 8. If one of the sides were 9 cm, what is the length of the new side?
- 72 cm
- 8 cm
- 64 cm
- 81 cm
Correct

Incorrect
Question 11 of 25

11. Question
A hexagon is enlarged by a scale factor of 1/3. If one of the sides were 54 cm, what is the length of the new side?
- 18 cm
- 36 cm
- 72 cm
- 162 cm
Correct

Incorrect
Question 12 of 25

12. Question
A quadrilateral is enlarged by an unknown scale factor. If the length of one side was 36 cm and the new side is 18 cm, what is the scale factor?
- 1/2
- 3
- 2
- 18
Correct

Incorrect
Question 13 of 25

13. Question
A rectangle is enlarged so its original area is 15 mm $^2$ and its new area is 60 mm $^2$ . What is its length scale factor?
- 4
- 15
- 16
- 2
Correct

Incorrect
Question 14 of 25

14. Question
An octagon is enlarged by a scale factor of 6. If one of the sides were 23 cm, what is the length of the new side?
- 138 cm
- 115 cm
- 60 cm
- 69 cm
Correct

Incorrect
Question 15 of 25

15. Question
A shape is enlarged so its original area is 7 m $^2$ and its new area is 49 m $^2$ . What is its area scale factor?
- 7
- 14
- 49
- √7
Correct

Incorrect
Question 16 of 25

16. Question
A square has an area of 10 cm $^2$ . The square is enlarged by a length scale factor of 3. What is the new area of the square?
- 90 cm $^2$
- 60 cm $^2$
- 270 cm $^2$
- 30 cm $^2$
Correct

Incorrect
Question 17 of 25

17. Question
A square is enlarged by a scale factor of 1/4. If one of the sides were 32 cm, what is the length of the new side?
- 8 cm
- 24 cm
- 128 cm
- 48 cm
Correct

Incorrect
Question 18 of 25

18. Question
A kite is enlarged by an unknown scale factor. If the length of one side was 25 cm and the new side is 10 cm, what is the scale factor?
- 0.4
- 1/2
- 2.5
- 2
Correct

Incorrect
Question 19 of 25

19. Question
A square is enlarged so its original area is 5 cm $^2$ and its new area is 45 cm $^2$ . What is its length scale factor?
- 3
- 9
- 10
- √3
Correct

Incorrect
Question 20 of 25

20. Question
A square is enlarged so its original area is 25 cm $^2$ and its new area is 150 cm $^2$ . What is its area scale factor?
- 6
- 36
- 25
- √6
Correct

Incorrect
Question 21 of 25

21. Question
A hexagon is enlarged by a scale factor of 2.5. If one of the sides were 8 m, what is the length of the new side?
- 20 m
- 16 m
- 12 m
- 3.2 m
Correct

Incorrect
Question 22 of 25

22. Question
A pentagon is enlarged by an unknown scale factor. If the length of one side was 16 cm and the new side is 80 cm, what is the scale factor?
- 5
- 3
- 6
- 55
Correct

Incorrect
Question 23 of 25

23. Question
A square has an area of 15 cm $^2$ . The square is enlarged by a length scale factor of 3. What is the new area of the square?
- 135 cm $^2$
- 150 cm $^2$
- 120 cm $^2$
- 45 cm $^2$
Correct

Incorrect
Question 24 of 25

24. Question
A triangle is enlarged by a scale factor of 4.5. If one of the sides were 8 cm, what is the length of the new side?
- 36 cm
- 12 cm
- 32 cm
- 2 cm
Correct

Incorrect
Question 25 of 25

25. Question
A rectangle is enlarged so its original area is 18 mm $^2$ and its new area is 162 mm $^2$ . What is its area scale factor?
- 9
- 3
- 18
- 81
Correct

Incorrect

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