Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
10th June 2017
- 1Spheres and Cones3 marks
A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
- 2Probability Trees3 marks
A bag holds 4 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Box Plots2 marks
A box plot has minimum 5, lower quartile 9, median 18, upper quartile 23 and maximum 25. Work out the interquartile range.
- 4Reverse Percentages3 marks
A bill is £96 including VAT at 20%. Work out the amount before VAT.
- 5Inequalities on Graphs2 marks
A region is defined by y <= 2x + 1. Should the boundary line be solid or dashed, and why?
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