Daily Practice

Higher

10th May 1983

5 questions · 14 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 9 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 18 in B only, 6 in both and 6 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
20 voles are marked and released. Later 40 are caught, of which 4 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 8^(2/3).
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 3)(x - 4)(x - 3).

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