Daily Practice · Higher

Daily Practice - Higher

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

31st July 2026

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

1
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
2
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.7373... as a fraction in its simplest form.
3
Expanding and Factorising Quadratics2 marks
Factorise x^2 - 121.
4
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 9, y = 54. Work out y when x = 3.
5
Circle Theorems2 marks
A, B and C are points on a circle with centre O. Angle AOC is 122°. Work out angle ABC, where B is on the major arc.

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