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Conversion Problems (Metric to Metric) (F)

Question 7 asks if some gold jewellery is real or not. Can you perform the calculation required?

Conversion Problems (Metric to Metric) (F)

Convert metric units with confidence. Learn how to scale by powers of ten, use unit prefixes, and round answers sensibly for GCSE Foundation.

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Fascinating Fact:

In running, 5 km = 5000 m. Multiply by 1000 to turn kilometres into metres and compare race distances easily.

In GCSE Maths (Foundation), metric-to-metric conversions use powers of ten. Move between prefixes (mm, cm, m, km) by multiplying or dividing by 10, 100, or 1000. For areas use ×10²; for volumes use ×10³.

Key Terms

Prefix: A short form that scales a unit (e.g., kilo means ×1000, centi means ÷100).
Conversion factor: The number you multiply or divide by to change units (e.g., 1 km = 1000 m).
Place-value shift: Moving the decimal point left or right to multiply or divide by powers of ten.

Frequently Asked Questions (Click to see answers)

How do I convert centimetres to metres quickly?

Divide by 100 because 1 m = 100 cm. For example, 250 cm ÷ 100 = 2.5 m.

What’s the difference between converting length, area, and volume?

Length scales by 10, 100, 1000. Area scales by 10² (e.g., cm² to m²), and volume by 10³ (e.g., cm³ to m³).

How can I remember metric prefixes for GCSE?

Common ones: milli (1/1000), centi (1/100), kilo (1000). Build a ladder: mm → cm → m → km and move the decimal each step.

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Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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