Daily Practice

Higher

13th June 1989

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 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
50 beetles are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Inequalities on Graphs2 marks
A region is defined by y <= x - 4. Should the boundary line be solid or dashed, and why?

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