Daily Practice

Higher

3rd June 1983

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 43°, angle B is 38° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 13 in B only, 3 in both and 6 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
4
Fractional and Negative Indices2 marks
Write 9^-3 as a fraction.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 9.

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