Daily Practice

Higher

10th October 1972

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 58°, angle B is 42° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 15 in B only, 9 in both and 7 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
45 voles are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
4
Standard Form2 marks
Work out (3 x 10^3) x (2 x 10^5). Give your answer in standard form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 14x + 45.

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