Daily Practice

Higher

5th March 1991

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 68°, angle B is 45° 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, 12 are in A only, 7 in B only, 10 in both and 9 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
30 voles are marked and released. Later 81 are caught, of which 9 are marked. Estimate the population.
4
Bounds2 marks
A mass is 500 kg, correct to the nearest 10. Write down the lower bound.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + x - 12.

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