Daily Practice

Higher

26th August 1975

5 questions · 13 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 24 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 4 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture3 marks
20 fish are marked and released. Later 108 are caught, of which 9 are marked. Estimate the population.
4
Fractional and Negative Indices2 marks
Write 5^-1 as a fraction.
5
Inequalities on Graphs2 marks
A region is defined by y < -x + 9. Should the boundary line be solid or dashed, and why?

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