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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

GCSE Higher

If A is 150% more than B, what is the ratio A:B?

(a) \(1 : 150\)

(b) \(1 : 1.5\)

(c) \(2 : 3\)

(d) \(2 : 5\)

(e) \(5 : 2\)


2.

GCSE Higher

Toystore sell model sheep in four different colours. In their newest warehouse there are currently 1760 sheep in stock. Three eighths of the sheep are yellow, 15% of the sheep are blue and the ratio of green to red sheep is 5:6.

Sheep Sheep Sheep Sheep

Work out the number of sheep of each colour in the Toystore warehouse.


3.

IGCSE Extended

In January, a supermarket sold 12 624 boxes of breakfast cereal.

(a) The cost of a box of cereal was £2.15 . Calculate the amount received from the sale of the 12 624 boxes. Give your answer correct to the nearest hundred pounds.

(b) The number of boxes sold in February was 13% more than the number sold in January. Calculate the number of boxes sold in February.

Breakfast Cereals

(c) There were 3 different types of cereal. The number of boxes sold of each type every month was in the ratio Riceflakes : Cornflakes : Branflakes = 4 : 5 : 3. The total number of boxes sold was 12 624. Calculate the number of boxes of Branflakes sold.

(d) How may more boxes of Cornflakes than Riceflakes were sold in February?

(e) \(\frac{5}{6}\) of the 12 624 bottles sold in January are included in a special promotion. Calculate the number of boxes that are included in that promotion.


4.

GCSE Higher

The ratio a : b is equivalent to the ratio 7 : 3 and 8b = 5c

Find the ratio a : c in its simplest form.


5.

GCSE Higher

The points A, B C and D lie in order on a straight line.

$$AB:BD = 1:4$$ $$AC:CD = 9:11$$

Using the information above calculate the three part ratio:

$$AB:BC:CD$$

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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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