Daily Practice

Higher

3rd April 1990

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 42°, angle B is 58° and side a is 19 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 17 in B only, 12 in both and 7 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
35 fish are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.
4
The Product Rule for Counting2 marks
A meal deal has 9 mains, 3 sides and 5 drinks. How many different meals are possible?
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 9.

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