Maths Mastery

Solve Problems Involving the

Calculation of Units of Measure

245mm × 12 = 2940mm = 2.94m – use 1 length,

6cm left over.

582mm × 6 = 3492mm = 3.49m – use 2 lengths

582mm × 5 = 2910mm = 2.91m, so 1 length will

give 5 pieces, leaving 9cm.

582mm will be cut from 3

length leaving

2.418m

3 lengths will be needed, leaving a piece

2.418m long and 2 pieces 9cm and 6cm

Length

A joiner needs 12 lengths of wood measuring 245mm and 6 pieces

measuring 582mm. The wood is sold in lengths of 3m.

Calculate how many lengths of wood are needed, and how best to cut

the lengths so the longest piece is left over.

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Write some of your own length questions for some others to solve.

2.91kg

Mass

A tin contains 425g baked

beans in sauce. The tin itself

weighs 60g. How much will

a pack of 6 tins weigh in

kilograms?

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Write your own questions involving the conversion of kilograms

and grams for others to solve.

A box of 12 tins of condensed

soup weighs 4.02kg. The tin

itself weighs 40g. How much

does the soup in each tin

weigh in grams?

295g

1.99 ÷ 8 = 25p 1.40 ÷ 6 = 23p

Capacity

A supermarket sells branded mineral water in a

pack of 8 × 500ml for £1.99 and its own brand

mineral water in packs of 6 × 500ml for £1.40.

Explain why the own brand is cheaper per bottle.

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Calculate the cost of 1 litre of mineral water in

each pack to the nearest penny.

branded 50p, supermarket own brand 47p

Another brand is sold in packs of 10 × 330ml for

£2. Show how this is more expensive per litre

than the other 2 packs.

10 × 330ml = 3.3l which is less than the 4l

of the branded, but is sold for 1p more.