Daily Practice

Higher

19th February 1957

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 43°, angle B is 45° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 7 in B only, 11 in both and 8 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
25 voles are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.777... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 10x + 21.

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