Daily Practice

Higher

9th September 1986

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 12 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
55 newts are marked and released. Later 24 are caught, of which 2 are marked. Estimate the population.
4
Standard Form2 marks
Work out (6 x 10^3) x (8 x 10^-3). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y <= 3x + 8. Should the boundary line be solid or dashed, and why?

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