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Scale factors – medium

Last updated: 24/08/2021

GCSE Maths – Equivalency test Scale Factors Scale factors – medium

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Question 1 of 25

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

Incorrect
Question 2 of 25

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

Incorrect
Question 3 of 25

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

Incorrect
Question 4 of 25

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

Incorrect
Question 5 of 25

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

Incorrect
Question 6 of 25

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

Incorrect
Question 7 of 25

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

Incorrect
Question 8 of 25

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

Incorrect
Question 9 of 25

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

Incorrect
Question 10 of 25

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

Incorrect
Question 11 of 25

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

Incorrect
Question 12 of 25

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

Incorrect
Question 13 of 25

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

Incorrect
Question 14 of 25

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

Incorrect
Question 15 of 25

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

Incorrect
Question 16 of 25

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

Incorrect
Question 17 of 25

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

Incorrect
Question 18 of 25

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

Incorrect
Question 19 of 25

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

Incorrect
Question 20 of 25

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

Incorrect
Question 21 of 25

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

Incorrect
Question 22 of 25

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

Incorrect
Question 23 of 25

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

Incorrect
Question 24 of 25

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

Incorrect
Question 25 of 25

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

Incorrect

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