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Using scale factors | Year 6 Mathematics PDF Download
What is a scale factor?
- A scale factor in geometry refers to enlarging or reducing a shape where each side is multiplied by the same number. This consistent multiplier is known as the scale factor.
- Maps often employ scale factors to accurately represent distances between places. Without the scale factor, a map would simply be a drawing without accurate spatial measurements.
Examples
Example 1: You can also use scale factors to find out the original measurement of a shape. Just use the inverse of multiplication, which is division.
Work out the original length of a side that had been enlarged by a scale factor of 7.
You already know what the result of the enlargement is (49 cm) and that the scale factor is 7.
Remember, when enlarging a shape, you multiply the original length by the scale factor:
original length x 7 = 49 cm
You can work backwards and use the inverse operation which is division:
49 ÷ 7 = 7 cm
The original size of the length before enlargement is 7 cm.
Example 2: What is the scale factor of enlargement from shape A to B?
Look at the relationship between the two measurements.
Use your times tables knowledge - what do you multiply 3 by to get 33?
3 cm x ___ = 33 cm
You multiply by 11!
The scale factor is 11.
You can also use scale factors to find out the original measurement of a shape. Just use the inverse of multiplication, which is division.
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FAQs on Using scale factors - Year 6 Mathematics
| 1. What are scale factors in relation to quadrilaterals? |  |
Ans. Scale factors in relation to quadrilaterals refer to the ratio of the lengths of corresponding sides of two similar quadrilaterals.
| 2. How are scale factors used in understanding quadrilaterals? | |
Ans. Scale factors are used to determine the relationship between the sides of similar quadrilaterals, helping to understand how the size of one quadrilateral compares to another.
| 3. Can scale factors be used to find the area of similar quadrilaterals? | |
Ans. Yes, scale factors can be used to find the area of similar quadrilaterals by squaring the scale factor to determine the ratio of their areas.
| 4. How do scale factors affect the angles of similar quadrilaterals? | |
Ans. Scale factors do not affect the angles of similar quadrilaterals, as the angles remain the same even if the sides are scaled up or down proportionally.
| 5. Are scale factors always whole numbers when comparing similar quadrilaterals? | |
Ans. Scale factors can be whole numbers or fractions when comparing similar quadrilaterals, depending on the ratio of their corresponding sides.
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Sep 05, 2025
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