Daily Practice

Higher

16th June 1953

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 38°, angle B is 40° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 4 in B only, 6 in both and 9 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
50 fish are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6767... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 4x - 45.

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