Fractions · Ages 11–12

Enlarging and shrinking shapes worksheet

Part of: Ratio and rate

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Fractions · Ages 11–12

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.A rectangle is 8 cm long. Enlarged by a scale factor of 2, how long is the new rectangle?
Answer:
2.Rectangle A is enlarged by a scale factor of 3. How many squares long is the new rectangle?
Answer:
3.Rectangle A is enlarged by a scale factor of 2. How many squares long is the new rectangle?
Answer:
4.Triangle A has sides of 5 cm, 7 cm and 10 cm. Triangle B is an enlargement of A, and its shortest side is 10 cm. The scale factor is , and B's longest side is cm.
Fill in each blank
Answer:
5.A rectangle is 18 cm long and 10 cm wide. It is shrunk to 12 of its size. How wide is the new rectangle, in cm?
Answer:
6.Triangle A has sides of 3 cm, 7 cm and 9 cm. Triangle B is an enlargement of A, and its shortest side is 6 cm. The scale factor is , and B's longest side is cm.
Fill in each blank
Answer:
7.A rectangle is 36 cm long and 24 cm wide. It is shrunk to 14 of its size. How wide is the new rectangle, in cm?
Answer:
8.Shape B is an enlargement of shape A, and corresponding sides of A and B are in the ratio 1 : 8. One side of A is 8 cm. How long is the corresponding side of B, in cm?
Answer:
9.Shape B is an enlargement of shape A, and corresponding sides of A and B are in the ratio 3 : 5. One side of A is 24 cm. How long is the corresponding side of B, in cm?
Answer:

10.Which picture shows rectangle A enlarged by a scale factor of 2?
- A
- B
- C
- D
Choose the right picture
Answer:
11.Rectangle A is 4 cm by 6 cm; rectangle B is 7 cm by 9 cm. B is an enlargement of A.
True or false?
Answer:
12.Rectangle A is 5 cm by 3 cm; rectangle B is 7 cm by 5 cm. B is an enlargement of A.
True or false?
Answer:

13.A small flag is 4 cm long and 1 cm wide. A big flag is an enlargement of it, 20 cm long. How wide is the big flag, in cm?
Working:
Answer:
14.A projector enlarges a picture 7 cm wide and 9 cm high onto a wall, where it is 35 cm wide. How high is the picture on the wall, in cm?
Working:
Answer:
15.A rectangle's perimeter = length + width + length + width. A poster is 24 cm long and 16 cm wide. A photocopier shrinks it to 14 of its size. What is the perimeter of the smaller poster, in cm?
Working:
Answer:
16.Ka-yee has a photo 15 cm long and 4 cm wide printed enlarged by a scale factor of 2. How long is the new photo, in cm?
Working:
Answer:
17.May has a photo 15 cm long and 4 cm wide printed enlarged by a scale factor of 4. How long is the new photo, in cm?
Working:
Answer:
18.A small flag is 5 cm long and 3 cm wide. A big flag is an enlargement of it, 15 cm long. How wide is the big flag, in cm?
Working:
Answer:

Show the answers and working

Enlarging and shrinking shapes worksheet: Answers and working

1. 16 cm
Enlarging by 2 makes every side twice as long.
Enlarging by 2 multiplies every side by 2: 8 × 2 = 16, so the new rectangle is 16 cm long.
2. 18 squares
Count how many squares long rectangle A is. Enlarging by 3 multiplies every side by 3.
A is 6 squares long; every side times 3: 6 × 3 = 18.
3. 10 squares
Count how many squares long rectangle A is. Enlarging by 2 multiplies every side by 2.
A is 5 squares long; every side times 2: 5 × 2 = 10.
4. 2, 20
Match shortest side to shortest side: first find how many times 5 goes into 10.
Shortest side to shortest side: 10 ÷ 5 = 2; the longest side is 10 × 2 = 20.
5. 5 cm
Shrinking to 12 divides every side by 2. The question asks for the width.
Shrinking to 12 divides every side by 2: 10 ÷ 2 = 5.
6. 2, 18
Match shortest side to shortest side: first find how many times 3 goes into 6.
Shortest side to shortest side: 6 ÷ 3 = 2; the longest side is 9 × 2 = 18.
7. 6 cm
Shrinking to 14 divides every side by 4. The question asks for the width.
Shrinking to 14 divides every side by 4: 24 ÷ 4 = 6.
8. 64 cm
Corresponding sides are 1 : 8. A's 1 parts are 8 cm, so find one part first.
A part is 8 ÷ 1 = 8 cm; B's side: 8 × 8 = 64.
9. 40 cm
Corresponding sides are 3 : 5. A's 3 parts are 24 cm, so find one part first.
A part is 24 ÷ 3 = 8 cm; B's side: 5 × 8 = 40.

10. A
Count A's length and width in squares. Enlarging by 2 multiplies every side by 2, rather than adding 2.
A is 5 by 1 squares; every side times 2: 10 by 2.
11. False
In an enlargement every side is multiplied by the same number. How many times 4 is 7, and how many times 6 is 9?
Check that every side is multiplied by the same number: 7 ÷ 4 must equal 9 ÷ 6.
12. False
In an enlargement every side is multiplied by the same number. How many times 5 is 7, and how many times 3 is 5?
Check that every side is multiplied by the same number: 7 ÷ 5 must equal 5 ÷ 3.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 5 cm
Enlarging keeps length : width the same. Simplify 4 : 1 first.
Length : width = 4 : 1, which is 4 : 1; the big flag is 4 : 1 too: 20 ÷ 4 × 1 = 5.
14. 45 cm
Find the scale factor first: how many times 7 is the wall width, 35?
The scale factor is 35 ÷ 7 = 5; height 9 × 5 = 45.
15. 20 cm
First find the smaller poster's length and width: divide each side by 4.
Every side ÷ 4: 6 cm by 4 cm, perimeter 2 × (6 + 4) = 20.
16. 30 cm
Enlarging by 2 multiplies every side by 2. The question asks for the length.
Every side times 2: 15 × 2 = 30.
17. 60 cm
Enlarging by 4 multiplies every side by 4. The question asks for the length.
Every side times 4: 15 × 4 = 60.
18. 9 cm
Enlarging keeps length : width the same. Simplify 5 : 3 first.
Length : width = 5 : 3, which is 5 : 3; the big flag is 5 : 3 too: 15 ÷ 5 × 3 = 9.

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