Daily Practice · Higher

Daily Practice - Higher

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

20th January 2026

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

1
Capture Recapture3 marks
10 beetles are marked and released. Later 14 are caught, of which 2 are marked. Estimate the population.
2
Reverse Percentages3 marks
A bill is £192 including VAT at 20%. Work out the amount before VAT.
3
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 16.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 8. Write y in terms of x.
5
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.

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