Daily Practice

Higher

5th March 1968

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 34°, angle B is 98° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 15 in B only, 10 in both and 1 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
40 fish are marked and released. Later 77 are caught, of which 7 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 216^(2/3).
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 12x + 32.

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