Daily Practice

Higher

11th September 1981

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

1
Spheres and Cones3 marks
A cone has base radius 4 cm and vertical height 15 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 3 red and 4 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
4
Standard Form3 marks
Work out (81 x 10^6) / (9 x 10^2). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y <= 3x + 2. Should the boundary line be solid or dashed, and why?

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