Daily Practice · Higher

Daily Practice - Higher

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

31st March 2026

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

1
Spheres and Cones3 marks
A cone has base radius 10 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 4 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
20 voles are marked and released. Later 44 are caught, of which 4 are marked. Estimate the population.
4
Fractional and Negative Indices2 marks
Write 7^-3 as a fraction.
5
Inequalities on Graphs2 marks
A region is defined by y < 3x - 1. Should the boundary line be solid or dashed, and why?

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