Daily Practice

Higher

31st March 1989

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 4x - 45.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 30. Work out y when x = 6.
3
The Sine Rule3 marks
In triangle ABC, angle A is 72°, angle B is 75° and side a is 15 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 10 in B only, 2 in both and 6 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.

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