Daily Practice

Higher

10th April 1984

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 12 in B only, 5 in both and 3 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
50 fish are marked and released. Later 40 are caught, of which 5 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 1)(x - 4)(x - 1).

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