Daily Practice

Higher

30th June 1964

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 30°, angle B is 100° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 4 in B only, 12 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
15 fish are marked and released. Later 25 are caught, of which 5 are marked. Estimate the population.
4
Reverse Percentages3 marks
A bill is £360 including VAT at 20%. Work out the amount before VAT.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 4x - 45.

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