Daily Practice

Higher

31st July 1989

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 9 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
Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 192 values. What cumulative frequency do you read across from to estimate the lower quartile?
4
Standard Form2 marks
Work out (9 x 10^3) x (4 x 10^6). Give your answer in standard form.
5
Inequalities on Graphs2 marks
A region is defined by y < 4x - 7. Should the boundary line be solid or dashed, and why?

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