Daily Practice · Higher

Daily Practice - Higher

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

23rd November 2025

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

1
Inequalities on Graphs2 marks
A region is defined by y < -x + 8. Should the boundary line be solid or dashed, and why?
2
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 6, y = 12. Work out y when x = 4.
3
Spheres and Cones3 marks
A cone has base radius 4 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
4
Probability Trees3 marks
A bag holds 3 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Box Plots2 marks
A box plot has a minimum of 15 and a maximum of 48. Work out the range.

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