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Units & Conversion Drills
Master unit conversions for length, area, volume, mass, time, and speed — a common source of lost marks in IGCSE maths exams.
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Convert 306 cm to m.
Going right (bigger → smaller unit): multiply. Going left (smaller → bigger unit): divide.
Length
km
× 1000 →← ÷ 1000
mm
× 100 →← ÷ 100
cmcm
× 10 →← ÷ 10
mmArea
km²
× 1 000 000 →← ÷ 1 000 000
m²m²
× 10 000 →← ÷ 10 000
cm²cm²
× 100 →← ÷ 100
mm²Volume
m³
× 1 000 000 →← ÷ 1 000 000
cm³litre
× 1000 →← ÷ 1000
cm³ (ml)m³
× 1000 →← ÷ 1000
litresMass
tonne
× 1000 →← ÷ 1000
kgkg
× 1000 →← ÷ 1000
gg
× 1000 →← ÷ 1000
mgTime
hour
× 60 →← ÷ 60
minutesminute
× 60 →← ÷ 60
secondshour
× 3600 →← ÷ 3600
secondsSpeed
km/h
÷ 3.6 →← × 3.6
m/sIGCSE Key Facts
- Area conversions: square the factor (m → cm is ×100, so m² → cm² is ×10 000)
- Volume conversions: cube the factor (m → cm is ×100, so m³ → cm³ is ×1 000 000)
- Speed: km/h to m/s — divide by 3.6 (or ×1000÷3600)
- 1 litre = 1000 cm³ = 1000 ml
Exam Tip
Unit conversion errors are one of the most common reasons students lose marks on IGCSE papers. Always check your units match the question's requirements. For area, remember to square the conversion factor (e.g. 1 m² = 10 000 cm²). For volume, cube it (1 m³ = 1 000 000 cm³). Speed conversions between km/h and m/s use the factor 3.6.
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