Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
17th January 2026
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 9.
- 2Spheres and Cones3 marks
A sphere has radius 9 cm. Work out its volume, leaving your answer in terms of pi.
- 3Probability Trees3 marks
4 of 9 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 4Box Plots2 marks
A box plot has minimum 11, lower quartile 21, median 26, upper quartile 34 and maximum 42. Work out the interquartile range.
- 5Surds2 marks
Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
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