Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

5th March 2026

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 4x - 12.
2
Repeated Percentage Change3 marks
A town's population is 31000 and grows by 6% each year. Work out the population after 2 years, to the nearest whole number.
3
The Sine Rule3 marks
In triangle ABC, angle A is 70°, angle B is 51° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 12 in B only, 5 in both and 9 in neither. Work out the probability a random one is in both.
5
Histograms2 marks
A histogram class is 4 units wide and contains 12 values. Work out the frequency density.

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