Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Spheres and Cones3 marks
A cone has base radius 8 cm and vertical height 3 cm. Work out its volume, leaving your answer in terms of pi.
- 2Probability Trees3 marks
A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 228 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
- 5Inequalities on Graphs2 marks
A region is defined by y < 2x - 9. Should the boundary line be solid or dashed, and why?
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