Daily Practice

Higher

11th October 1957

5 questions · 12 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 21 cm. Work out its volume, leaving your answer in terms of pi.
2
Probability Trees3 marks
A bag holds 3 red and 8 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 Form2 marks
Work out (8 x 10^6) x (8 x 10^3). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y < x + 3. Should the boundary line be solid or dashed, and why?

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