Daily Practice
Higher
- 1Spheres and Cones3 marks
A cone has base radius 7 cm and vertical height 21 cm. Work out its volume, leaving your answer in terms of pi.
- 2Probability Trees3 marks
A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Capture Recapture3 marks
60 voles are marked and released. Later 28 are caught, of which 7 are marked. Estimate the population.
- 4Fractional and Negative Indices2 marks
Write 3^-1 as a fraction.
- 5Inequalities on Graphs2 marks
A region is defined by y < 3x - 9. Should the boundary line be solid or dashed, and why?
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Any date always gives the same five questions, so a sheet can be set again or shared. All of May 1955, including the monthly compilation PDF.