Daily Practice

Higher

24th June 1988

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 11 in B only, 2 in both and 1 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
4
Fractional and Negative Indices2 marks
Write 9^-1 as a fraction.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x + 1)(x - 3).

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