Daily Practice

Higher

2nd February 1982

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 7 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 8 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
20 beetles are marked and released. Later 36 are caught, of which 3 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 125^(2/3).
5
Inequalities on Graphs2 marks
A region is defined by y <= -4x - 1. Should the boundary line be solid or dashed, and why?

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