Daily Practice

Higher

20th January 1989

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 24 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 6 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6565... as a fraction in its simplest form.
5
Inequalities on Graphs2 marks
A region is defined by y < 4x - 2. Should the boundary line be solid or dashed, and why?

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