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Exam-Style Questions on Compound Units

Problems on Compound Units adapted from questions set in previous Mathematics exams.

1.

GCSE Higher

The density of lemon juice is 1.15 grams per cubic centimetre.

The density of lime juice is 1.25 grams per cubic centimetre.

The density of soda water is 0.97 grams per cubic centimetre.

400cm3 of a lemon and lime drink are made by mixing 30cm3 of lemon juice with 30cm3 of lime juice and then soda water is added to make up the rest of the drink.

Find the density of the lemon and lime drink correct to two decimal places.


2.

GCSE Higher

The density of water (at 20°C) is 1.09 g/cm3.

The density of blood is 1.60 g/cm3.

Three litres of water are mixed with four litres of blood for a scientific experiment. Work out the density of the mixture giving your answer correct to 2 decimal places.


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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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