Daily Practice

Higher

11th August 1987

5 questions · 14 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 9 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 7 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
25 beetles are marked and released. Later 60 are caught, of which 5 are marked. Estimate the population.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.5353... as a fraction in its simplest form.
5
Inequalities on Graphs2 marks
A region is defined by y < 4x + 6. Should the boundary line be solid or dashed, and why?

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