Daily Practice

Higher

9th December 1988

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 50°, angle B is 66° and side a is 17 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, 2 in both and 10 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.555... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 7x + 10.

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