Use knowledge of multiplication and division to solve scaling problems in a range of contexts | Maths

Starter quiz

What number is 12 times the size of 4?
- '48' ✓
What is $12 \times 30$ equal to?
- 36
- 306
- 360 ✓
- 3,600
How many 50s are there in 200?
- 2
- 3
- 4 ✓
- 5
- 6
What is the value of a on this double number line?
- '5' ✓
What is the value of b on this double number line?
- '18' ✓
If you continued this number line, what distance on the map would represent 45 km on the island?
- '15 cm' ✓

How long is this room if the scale for the plan is 1 cm on the plan for every 50 cm in real life?
- 10 m
- 50 m
- 5 m ✓
- 4 m
How long is this room if the scale for the plan is 1 cm on the plan for every 50 cm in real life?
- 10 m
- 40 m
- 5 m
- 4 m ✓
How long is this room if the scale for the plan is 1 cm on the plan for every 50 cm in real life?
- 10 m ✓
- 20 m
- 5 m
- 4 m
What value goes in the green box to represent a distance in metres in real life?
- 0.5
- 1 ✓
- 1.5
- 2
- 3
What value goes in the green box to represent a distance in metres in real life?
- one third ✓
- one fifth
- 1
- 3
- 5
On a map with a scale of 1cm : 20km, what length on the map would represent 10km?
- 2cm
- 0.5cm ✓
- 10cm

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Multiplication and division are used to convert between measurements on a map or plan and those in real life.
Working with scale can involve fractions of measures.
Two scales can look different but be equivalent.

Failing to spot the change in unit of measure between the scale and real life.

Describe the scale and identify the unit of measure used on the map or plan and the unit of measure used in real life.

Scale - A scale is used to show how the distances on a map or plan relate to distances in real life
Scaling - Scaling is the operation of changing one value to another using multiplication or division, using the same factor or divisor
Double number line - A double number line is used to show the relationship between two values, in this case, the distances on the plan and those in real life