Daily Practice

Higher

25th November 1971

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 11x + 18.
2
Repeated Percentage Change3 marks
A town's population is 7000 and grows by 6% each year. Work out the population after 4 years, to the nearest whole number.
3
The Sine Rule3 marks
In triangle ABC, angle A is 55°, angle B is 75° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 12 are in A only, 17 in B only, 12 in both and 8 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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