Daily Practice · Higher

Daily Practice - Higher

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

29th September 2026

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture3 marks
25 beetles are marked and released. Later 99 are caught, of which 9 are marked. Estimate the population.
2
Standard Form2 marks
Work out (8 x 10^8) x (6 x 10^6). Give your answer in standard form.
3
Expanding and Factorising Quadratics3 marks
Factorise x^2 - 9.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 3. Write y in terms of x.
5
The Sine Rule3 marks
In triangle ABC, angle A is 79°, angle B is 66° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.

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