Daily Practice · Higher

Daily Practice - Higher

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

12th May 2026

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 68°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 6 in B only, 12 in both and 10 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
30 fish are marked and released. Later 55 are caught, of which 5 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 81^(3/2).
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 25.

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