Daily Practice

Higher

10th September 1963

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 6 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 5 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
45 beetles are marked and released. Later 8 are caught, of which 2 are marked. Estimate the population.
4
The Product Rule for Counting2 marks
A meal deal has 3 mains, 8 sides and 5 drinks. How many different meals are possible?
5
Inequalities on Graphs2 marks
A region is defined by y < -4x - 5. Should the boundary line be solid or dashed, and why?

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