Daily Practice

Higher

15th May 1990

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 3 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
25 fish are marked and released. Later 35 are caught, of which 7 are marked. Estimate the population.
4
Standard Form3 marks
Work out (8 x 10^9) / (2 x 10^5). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y <= -2x + 9. Should the boundary line be solid or dashed, and why?

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