Daily Practice

Higher

4th February 1969

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 35°, angle B is 82° and side a is 10 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, 18 in B only, 4 in both and 2 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
10 beetles are marked and released. Later 72 are caught, of which 9 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(50) in the form a sqrt(b), where b is as small as possible.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 12x + 32.

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