Daily Practice

Higher

31st May 1988

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 37°, angle B is 82° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 18 in B only, 10 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
60 voles are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 8^(2/3).
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 11x + 28.

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