Daily Practice · Higher

Daily Practice - Higher

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

16th June 2026

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 5. Write y in terms of x.
2
Perpendicular Lines and the equation of a tangent2 marks
A line has gradient -5. Work out the gradient of a line perpendicular to it.
3
Conditional Probability3 marks
13 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Capture Recapture3 marks
25 beetles are marked and released. Later 24 are caught, of which 2 are marked. Estimate the population.
5
Fractional and Negative Indices2 marks
Write 2^-2 as a fraction.

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