Daily Practice

Higher

25th July 1981

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Spheres and Cones3 marks
A cone has base radius 5 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 5 blue counters. Two are taken without replacement. Work out the probability both are red.
3
Box Plots2 marks
A box plot has minimum 8, lower quartile 13, median 15, upper quartile 24 and maximum 30. Work out the interquartile range.
4
Surds2 marks
Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
5
Inequalities on Graphs2 marks
A region is defined by y <= -5x + 5. Should the boundary line be solid or dashed, and why?

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