Daily Practice

Higher

22nd August 1989

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 3x - 54.
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 9. Write y in terms of x.
3
The Sine Rule3 marks
In triangle ABC, angle A is 30°, angle B is 59° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 3 in B only, 3 in both and 8 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
60 beetles are marked and released. Later 10 are caught, of which 2 are marked. Estimate the population.

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