Daily Practice · Higher

Daily Practice - Higher

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

28th May 2026

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 25.
2
Repeated Percentage Change3 marks
A town's population is 3000 and grows by 6% each year. Work out the population after 5 years, to the nearest whole number.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 114°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 7 in B only, 12 in both and 4 in neither. Work out the probability a random one is in both.
5
Histograms2 marks
A histogram class is 5 units wide and contains 12.5 values. Work out the frequency density.

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