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Scale and Proportional Animals

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Scale and Proportional Animals

A wildlife centre is making animal models for an exhibition. Use the scale information in each question, keep units consistent, and show your calculations where there is room.

Read the scale

For a scale of 1:40, every 1 cm on the model represents 40 cm on the real animal.

1.A kangaroo model is 14 cm long and uses a scale of 1:40. How long is the real kangaroo in centimetres?

2.Convert the real kangaroo's length from Question 1 into metres.

3.A giraffe is 5.4 m tall. At a model scale of 1:18, what should its model height be in centimetres?

4.A 9 cm frog drawing is reduced so that every length is one-third of the original. What is the new length? Write the scale factor as a fraction and a decimal.

Plan the exhibition models

Use ratios to compare model measurements with real animal measurements.

5.A kiwi model is 12 cm long at a scale of 1:5. What is the real kiwi's length in centimetres and metres?

6.A seal is 1.8 m long. An exhibition model is made at a scale of 1:30. What is the model's length in centimetres?

7.A wallaby model is 8 cm tall, while the real wallaby is 80 cm tall. What is the model-to-real scale as a ratio in simplest form?

8.An animal drawing is enlarged from 6 cm long to 15 cm long. If its original height is 4 cm, what will its enlarged height be?

9.A model is made at scale 1:25. Which statement correctly describes this scale?

1 cm on the model represents 25 cm in real life.
25 cm on the model represents 1 cm in real life.
The model is 25 times larger than the real animal.

10.A model elephant is 12 cm long at a scale of 1:50. A model seal is 8 cm long at a scale of 1:25. Which real animal is longer, and by how many centimetres?

11.A model tuatara has a body length of 9 cm at a scale of 1:4. If every length is doubled to make a larger display model, what will its body length be? What scale will the larger model use?