Standard and compound units Worked Solutions — GCSE Maths

Fully worked, step-by-step solutions to GCSE Standard and compound units questions. See exactly how to solve problems on converting length, metric units, converting mass, converting capacity.

converting lengthmetric unitsconverting massconverting capacityconverting timeconverting money
GCSE Foundation70 questionsStep-by-step solutions
Question 1
1 markeasy
Convert 55 km into metres.

Worked solution

  1. Recall the conversion

    1 km=1000 m1\text{ km} = 1000\text{ m}

    There are 1000 metres in every kilometre.

  2. Multiply

    5×1000=50005 \times 1000 = 5000

    Kilometres are larger than metres, so multiply by 1000.

  3. State the answer

    5000 m5000\text{ m}

    So 5 km is 5000 m.

Answer
5000 m5000\text{ m}
Question 2
1 markeasy
Convert 30003000 g into kilograms.

Worked solution

  1. Recall the conversion

    1000 g=1 kg1000\text{ g} = 1\text{ kg}

    There are 1000 grams in every kilogram.

  2. Divide

    3000÷1000=33000 \div 1000 = 3

    Grams are smaller than kilograms, so divide by 1000.

  3. State the answer

    3 kg3\text{ kg}

    So 3000 g is 3 kg.

Answer
3 kg3\text{ kg}
Question 3
1 markeasy
Convert 2.52.5 kg into grams.

Worked solution

  1. Recall the conversion

    1 kg=1000 g1\text{ kg} = 1000\text{ g}

    There are 1000 grams in every kilogram.

  2. Multiply

    2.5×1000=25002.5 \times 1000 = 2500

    Kilograms are larger than grams, so multiply by 1000.

  3. State the answer

    2500 g2500\text{ g}

    So 2.5 kg is 2500 g.

Answer
2500 g2500\text{ g}
Question 4
1 markeasy
Convert 44 litres into millilitres.

Worked solution

  1. Recall the conversion

    1 litre=1000 ml1\text{ litre} = 1000\text{ ml}

    There are 1000 millilitres in every litre.

  2. Multiply

    4×1000=40004 \times 1000 = 4000

    Litres are larger than millilitres, so multiply by 1000.

  3. State the answer

    4000 ml4000\text{ ml}

    So 4 litres is 4000 ml.

Answer
4000 ml4000\text{ ml}
Question 5
1 markeasy
Convert 250250 cm into metres.

Worked solution

  1. Recall the conversion

    100 cm=1 m100\text{ cm} = 1\text{ m}

    There are 100 centimetres in every metre.

  2. Divide

    250÷100=2.5250 \div 100 = 2.5

    Centimetres are smaller than metres, so divide by 100.

  3. State the answer

    2.5 m2.5\text{ m}

    So 250 cm is 2.5 m.

Answer
2.5 m2.5\text{ m}

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