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Units of area and volume – practice for Years 6–7

Sample questions on Units of area and volume with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Years 6–7
Curriculum area
Geometry and measures

Question types: Converting units of area and volume

Rule: Units of area and volume

Area: neighbouring units differ by 100: 1 m² = 100 dm², 1 km² = 100 ha; 1 ha = 10,000 m².

Volume: neighbouring units differ by 1000: 1 m³ = 1000 dm³. Remember: 1 dm³ = 1 l, 1 cm³ = 1 ml.

Example: 65,000 cm² = 65,000 ÷ 10,000 m² = 6.5 m²

Watch out: 1 m² is not 100 cm² but 100 × 100 = 10,000 cm².

Sample questions

  1. Question 1 Easy

    Convert: 8 m² = ? dm²

    Show the solution
    Answer: 800 dm²

    How it works: 1 m² = 100 dm², so 8 m² = 8 × 100 dm² = 800 dm²

  2. Question 2 Normal

    Convert: 8400 dm² = ? m²

    Show the solution
    Answer: 84 m²

    How it works: 1 m² = 100 dm², so 8400 dm² = 8400 ÷ 100 m² = 84 m²

  3. Question 3 Hard

    Convert: 850 dm² = ? m²

    Show the solution
    Answer: 8.5 m²

    How it works: 1 m² = 100 dm², so 850 dm² = 850 ÷ 100 m² = 8.5 m²

Related topics

All Maths topics

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