Daily Practice · Higher

Daily Practice - Higher

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

25th December 2025

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

1
Spheres and Cones3 marks
A cone has base radius 8 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 5 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Histograms2 marks
A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.333... as a fraction in its simplest form.
5
Inequalities on Graphs2 marks
A region is defined by y <= 2x - 2. Should the boundary line be solid or dashed, and why?

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