Daily Practice

Higher

29th July 1986

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 53°, angle B is 63° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 5 in B only, 4 in both and 2 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
20 fish are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
4
Standard Form3 marks
Work out (20 x 10^10) / (4 x 10^3). Give your answer in standard form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 16x + 64.

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