Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
10th January 2026
- 1Inequalities on Graphs2 marks
A region is defined by y < -x - 9. Should the boundary line be solid or dashed, and why?
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out y when x = 5.
- 3Spheres and Cones3 marks
A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
- 4Probability Trees3 marks
A bag holds 5 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Box Plots2 marks
A box plot has minimum 11, lower quartile 18, median 28, upper quartile 37 and maximum 39. Work out the interquartile range.
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