Measurement Conversions • Topic 4 of 4

Mixed Measurement Word Problems

Many real-life problems combine different units or require multiple steps. Always:

  • Step 1: Identify the units given and the unit needed
  • Step 2: Convert all measurements to the same unit
  • Step 3: Perform the required calculation
  • Step 4: Express answer in appropriate unit

Common mistakes to avoid: forgetting to convert before adding, mixing up kg and g in the same calculation.

Unit Conversion Summary TableConversionMultiply / Dividekm to mx 1,000m to cmx 100kg to gx 1,000L to mLx 1,000
Solved Examples
1
Worked Example
Riya ran 2.5 km in the morning and 1,750 m in the evening. Total distance?
SolutionConvert km to m: 2.5 km = 2,500 m. Total = 2,500 + 1,750 = 4,250 m = 4.25 km.
2
Worked Example
A water tank has 12 L 500 mL. After using 3 L 750 mL and adding 5 L 250 mL, how much is left?
SolutionStart: 12,500 mL. After use: 12,500 - 3,750 = 8,750 mL. After adding: 8,750 + 5,250 = 14,000 mL = 14 L.
3
Worked Example
A train journey starts at 8:45 AM and ends at 2:15 PM. Duration in minutes?
Solution8:45 AM to 2:15 PM = 5 hours 30 minutes = (5 x 60) + 30 = 300 + 30 = 330 minutes.

Key Points

  • Always convert to the same unit before adding or subtracting
  • Large to small: multiply; Small to large: divide
  • For time: hours and minutes must be handled separately before adding
  • Always check if your answer is in the correct unit
Quick Check — 4 MCQs
Tap an option to check your answer0 / 4
Q1.Before adding measurements, change them to the:
Explanation: Same unit.
Q2.$1$ m $50$ cm equals:
Explanation: $150$ cm.
Q3.$2$ kg $250$ g equals:
Explanation: $2250$ g.
Q4.Always write the correct ___ in the answer.
Explanation: Unit.
Practice more MCQs → 📝 Assignment · 35 marks