Daily Practice

Higher

20th March 1979

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 71°, angle B is 69° and side a is 14 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, 8 in B only, 9 in both and 6 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
55 fish are marked and released. Later 28 are caught, of which 4 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + x - 30.

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