Daily Practice

Higher

2nd March 1990

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 18x + 81.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 6, y = 48. Work out y when x = 13.
3
The Sine Rule3 marks
In triangle ABC, angle A is 55°, angle B is 55° and side a is 5 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 12 in B only, 6 in both and 2 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.

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