Daily Practice

Higher

9th October 1962

5 questions · 13 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 6 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
45 fish are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
5
Inequalities on Graphs2 marks
A region is defined by y <= 3x - 1. Should the boundary line be solid or dashed, and why?

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