Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
3rd December 2011
- 1Spheres and Cones3 marks
A cone has base radius 2 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 2Probability Trees3 marks
A bag holds 3 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Box Plots2 marks
A box plot has minimum 4, lower quartile 6, median 13, upper quartile 18 and maximum 28. Work out the interquartile range.
- 4Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
- 5Inequalities on Graphs2 marks
A region is defined by y <= -5x - 4. Should the boundary line be solid or dashed, and why?
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