Daily Practice

Higher

29th March 1967

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

1
Spheres and Cones3 marks
A cone has base radius 4 cm and vertical height 12 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 10, 4, 9, 8. Write down the cumulative frequency at the end of the third class.
4
Standard Form3 marks
Work out (63 x 10^10) / (9 x 10^3). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y < 3x - 5. Should the boundary line be solid or dashed, and why?

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