Daily Practice

Higher

24th June 1987

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 5 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 5, 8, 10, 12. Write down the cumulative frequency at the end of the third class.
4
Standard Form3 marks
Work out (18 x 10^11) / (2 x 10^3). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y < -4x + 9. Should the boundary line be solid or dashed, and why?

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