Daily Practice · Higher

Daily Practice - Higher

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

30th September 2025

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

1
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 81.
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 7. Write y in terms of x.
3
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 164°. Work out angle ABC, where B is on the major arc.
4
Venn Diagrams3 marks
In a Venn diagram, 5 are in A only, 15 in B only, 3 in both and 3 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
35 newts are marked and released. Later 40 are caught, of which 4 are marked. Estimate the population.

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