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Solving Scale Drawing Problems

In this worksheet, students use ratios to solve problems involving scale drawings.

'Solving Scale Drawing Problems' worksheet

Key stage:  KS 2

Curriculum topic:  Ratio and Proportion

Curriculum subtopic:  Solve Shape Problems

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

The scale in a scale drawing is often shown as a ratio.

A ratio of 1:100 means that 1 cm on the drawing represents 100 cm in actual real life.

This could also be written as 1 cm:1 m or 1 cm to 1 m.

 

This means that a scale of 1 cm to 5 m could also be written as 1:500.

 

 

Example 1

Betty makes a scale drawing of her classroom.

She uses a scale of 1 cm to 2 m.

The actual length of her classroom is 10 m.

How long should she make her classroom, in cm, on her drawing?

 

Answer

The ratio is 1 cm to 2 m.

Every 2 m in real life is shown as 1 cm on the drawing.

10 m is 5 × 2 m.

On the drawing, this should be 5 cm.

 

 

Example 2

Charlie makes a scale drawing of the school hall.

The actual length of the hall is 25 m.

On his drawing, he makes the hall 5 cm long.

What scale is Charlie using?

 

Answer

The ratio is 5 cm to 25 m.

This reduces like a fraction by dividing both numbers by 5.

So the ratio is 1 cm to 5 m.

This is 1 cm to 500 cm or 1:500.

Amir makes a scale drawing of his bedroom.

He uses a scale of 1 cm to 2 m.

The actual length of his bedroom is 4 m.

How long should he make his bedroom, in cm, on his drawing?

Just write the number.

Anna makes a scale drawing of her bedroom.

The actual length of her bedroom is 5 m.

On her drawing, she makes the wall 5 cm long.

What scale is Anna using?

1:100

1:500

5:1

Jack makes a scale drawing of his garden.

He uses a scale of 1 cm to 4 m.

The actual length of his garden is 100 m.

How long should he make his garden, in cm, on his drawing?

Just write the number.

Fatima makes a scale drawing of her house.

The actual width of her house is 15 m.

On her drawing, she makes the width 5 cm long.

What scale is Fatima using?

1 cm to 3 m

1 to 3

1 cm to 5 m

Bill makes a scale drawing of his local park.

He uses a scale of 1 cm to 50 m.

The actual length of the park is 500 m.

How long should he make this length, in cm, on his drawing?

Just write the number.

Aisha makes a scale drawing of her school playing field.

The actual width of the field is 200 m.

On her drawing, she makes the width 10 cm long.

What scale is Aisha using?

1 cm to 200 m

1 to 2

1 cm to 20 m

Samuel makes a scale drawing of a garden table.

He uses a scale of 1 cm to 50 cm.

The actual length of the table is 3 m.

How long should he make this length, in cm, on his drawing?

Just write the number.

Mary makes a scale drawing of a car park.

She uses a scale of 1 cm to 5 m.

The actual length of the car park is 60 m.

How long should she make this length, in cm, on her drawing?

Just write the number.

Sandra makes a scale drawing of the school library.

The actual width of the library is 20 m.

On her drawing, she makes the width 5 cm long.

What scale is Aisha using?

1 cm to 400 m

1 to 4

1:400

Betty makes a scale drawing of a supermarket.

She uses a scale of 1:500.

The actual length of the supermarket is 20 m.

How long should she make this length, in cm, on her drawing?

Just write the number.

  • Question 1

Amir makes a scale drawing of his bedroom.

He uses a scale of 1 cm to 2 m.

The actual length of his bedroom is 4 m.

How long should he make his bedroom, in cm, on his drawing?

Just write the number.

CORRECT ANSWER
2
EDDIE SAYS
1 cm to 2 m
2 cm to 4 m
  • Question 2

Anna makes a scale drawing of her bedroom.

The actual length of her bedroom is 5 m.

On her drawing, she makes the wall 5 cm long.

What scale is Anna using?

CORRECT ANSWER
1:100
EDDIE SAYS
The ratio is 5 cm to 5 m.
This reduces like a fraction by dividing both numbers by 5.
So the ratio is 1 cm to 1 m.
This is 1 cm to 100 cm or 1:100.
  • Question 3

Jack makes a scale drawing of his garden.

He uses a scale of 1 cm to 4 m.

The actual length of his garden is 100 m.

How long should he make his garden, in cm, on his drawing?

Just write the number.

CORRECT ANSWER
25
EDDIE SAYS
1 cm to 4 m
25 cm to 25 × 4 = 100 m
  • Question 4

Fatima makes a scale drawing of her house.

The actual width of her house is 15 m.

On her drawing, she makes the width 5 cm long.

What scale is Fatima using?

CORRECT ANSWER
1 cm to 3 m
EDDIE SAYS
The ratio is 5 cm to 15 m.
This reduces like a fraction by dividing both numbers by 5.
So the ratio is 1 cm to 3 m.
  • Question 5

Bill makes a scale drawing of his local park.

He uses a scale of 1 cm to 50 m.

The actual length of the park is 500 m.

How long should he make this length, in cm, on his drawing?

Just write the number.

CORRECT ANSWER
10
EDDIE SAYS
1 cm to 50 m
10 cm to 50 × 10 = 500 m
  • Question 6

Aisha makes a scale drawing of her school playing field.

The actual width of the field is 200 m.

On her drawing, she makes the width 10 cm long.

What scale is Aisha using?

CORRECT ANSWER
1 cm to 20 m
EDDIE SAYS
The ratio is 10 cm to 200 m.
This reduces like a fraction by dividing both numbers by 10.
So the ratio is 1 cm to 20 m.
  • Question 7

Samuel makes a scale drawing of a garden table.

He uses a scale of 1 cm to 50 cm.

The actual length of the table is 3 m.

How long should he make this length, in cm, on his drawing?

Just write the number.

CORRECT ANSWER
6
EDDIE SAYS
1 cm to 50 cm
6 cm to 50 × 6 = 300 cm = 3 m
  • Question 8

Mary makes a scale drawing of a car park.

She uses a scale of 1 cm to 5 m.

The actual length of the car park is 60 m.

How long should she make this length, in cm, on her drawing?

Just write the number.

CORRECT ANSWER
12
EDDIE SAYS
1 cm to 5 m
12 cm to 12 × 5 = 60 m
  • Question 9

Sandra makes a scale drawing of the school library.

The actual width of the library is 20 m.

On her drawing, she makes the width 5 cm long.

What scale is Aisha using?

CORRECT ANSWER
1:400
EDDIE SAYS
The ratio is 5 cm to 20 m.
This reduces like a fraction by dividing both numbers by 5.
So the ratio is 1 cm to 4 m = 400 cm.
This is 1:400.
  • Question 10

Betty makes a scale drawing of a supermarket.

She uses a scale of 1:500.

The actual length of the supermarket is 20 m.

How long should she make this length, in cm, on her drawing?

Just write the number.

CORRECT ANSWER
4
EDDIE SAYS
1:500 is the same as 1 cm to 500 cm = 1 cm to 5 m.
4 cm to 4 × 5 = 20 m
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