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

5

km into metres.

Worked solution

Recall the conversion
$1\,\mathrm{km} = 1000\,\mathrm{m}$
There are $1000$ metres in every kilometre.
Multiply
$5 \times 1000 = 5000$
Kilometres are larger than metres, so multiply by $1000$ .
State the answer
$5000\,\mathrm{m}$
So 5 km is 5000 m.

Answer

5000\,\mathrm{m}

Question 2

1 markeasy

Convert

3000

g into kilograms.

Worked solution

Recall the conversion
$1000\,\mathrm{g} = 1\,\mathrm{kg}$
There are $1000$ grams in every kilogram.
Divide
$3000 \div 1000 = 3$
Grams are smaller than kilograms, so divide by $1000$ .
State the answer
$3\,\mathrm{kg}$
So 3000 g is 3 kg.

Answer

3\,\mathrm{kg}

Question 3

1 markeasy

Convert

2.5

kg into grams.

Worked solution

Recall the conversion
$1\,\mathrm{kg} = 1000\,\mathrm{g}$
There are $1000$ grams in every kilogram.
Multiply
$2.5 \times 1000 = 2500$
Kilograms are larger than grams, so multiply by $1000$ .
State the answer
$2500\,\mathrm{g}$
So 2.5 kg is 2500 g.

Answer

2500\,\mathrm{g}

Question 4

1 markeasy

Convert

4

litres into millilitres.

Worked solution

Recall the conversion
$1\text{ litre} = 1000\,\mathrm{ml}$
There are $1000$ millilitres in every litre.
Multiply
$4 \times 1000 = 4000$
Litres are larger than millilitres, so multiply by $1000$ .
State the answer
$4000\,\mathrm{ml}$
So $4$ litres is $4000$ ml.

Answer

4000\,\mathrm{ml}

Question 5

1 markeasy

Convert

250

cm into metres.

Worked solution

Recall the conversion
$100\,\mathrm{cm} = 1\,\mathrm{m}$
There are $100$ centimetres in every metre.
Divide
$250 \div 100 = 2.5$
Centimetres are smaller than metres, so divide by $100$ .
State the answer
$2.5\,\mathrm{m}$
So 250 cm is 2.5 m.

Answer

2.5\,\mathrm{m}

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Standard and compound units Worked Solutions — GCSE Maths

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