Daily Practice · Higher

Daily Practice - Higher

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

22nd August 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 12 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 8 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 3, lower quartile 9, median 13, upper quartile 16 and maximum 25. Work out the interquartile range.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.2020... as a fraction in its simplest form.
5
Inequalities on Graphs2 marks
A region is defined by y <= 4x - 2. Should the boundary line be solid or dashed, and why?

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