Daily Practice

Higher

28th March 1990

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 9 cm and vertical height 9 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 3 red and 7 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 6, 6, 6, 9. Write down the cumulative frequency at the end of the third class.
4
Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
5
Inequalities 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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