Daily Practice · Higher

Daily Practice - Higher

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

10th June 2025

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 94°. Work out angle ABC, where B is on the major arc.
2
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 3 in B only, 6 in both and 3 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
55 voles are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.222... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 4.

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