Daily Practice · Higher

Daily Practice - Higher

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

5th February 2026

5 questions · 12 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 104°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 9 in B only, 3 in both and 6 in neither. Work out the probability a random one is in both.
3
Histograms2 marks
A histogram class is 4 units wide and contains 2 values. Work out the frequency density.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.3535... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 49.

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