Daily Practice

Higher

6th March 1980

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 16x + 63.
2
Repeated Percentage Change3 marks
A town's population is 38500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.
3
The Sine Rule3 marks
In triangle ABC, angle A is 30°, angle B is 120° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 15 in B only, 4 in both and 6 in neither. Work out the probability a random one is in both.
5
Histograms2 marks
A histogram class is 5 units wide and contains 20 values. Work out the frequency density.

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