Daily Practice · Higher

Daily Practice - Higher

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

28th October 2025

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

1
Capture Recapture3 marks
55 voles are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
2
Fractional and Negative Indices2 marks
Write 8^-1 as a fraction.
3
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 9x + 14.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 9. Write y in terms of x.
5
The Sine Rule3 marks
In triangle ABC, angle A is 35°, angle B is 94° and side a is 16 cm. Use the sine rule to work out side b, to 1 decimal place.

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