Daily Practice

Higher

22nd December 1981

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 31°, angle B is 112° 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, 6 are in A only, 6 in B only, 6 in both and 2 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
50 voles are marked and released. Later 14 are caught, of which 2 are marked. Estimate the population.
4
Fractional and Negative Indices2 marks
Write 4^-1 as a fraction.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 11x + 30.

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