Daily Practice

Higher

4th January 1983

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

1
Spheres and Cones3 marks
A cone has base radius 10 cm and vertical height 3 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
Capture Recapture3 marks
15 fish are marked and released. Later 24 are caught, of which 2 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(50) 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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