Daily Practice

Higher

30th May 1978

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 3 cm and vertical height 6 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
40 newts are marked and released. Later 45 are caught, of which 9 are marked. Estimate the population.
4
Reverse Percentages3 marks
A bill is £576 including VAT at 20%. Work out the amount before VAT.
5
Inequalities on Graphs2 marks
A region is defined by y < -4x - 9. Should the boundary line be solid or dashed, and why?

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