Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Inequalities on Graphs2 marks
A region is defined by y <= 4x - 3. 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 = 3, y = 72. Work out y when x = 9.
- 3Spheres and Cones3 marks
A cone has base radius 2 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
- 4Probability Trees3 marks
A bag holds 6 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Box Plots2 marks
A box plot has minimum 7, lower quartile 12, median 14, upper quartile 18 and maximum 23. Work out the interquartile range.
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