Daily Practice

Higher

12th February 1963

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 14 in B only, 5 in both and 5 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
25 voles are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 16^(3/2).
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 2)(x + 2)(x - 2).

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