Daily Practice

Higher

30th May 1987

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 8.
2
Spheres and Cones3 marks
A sphere has radius 15 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
7 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Box Plots2 marks
A box plot has minimum 15, lower quartile 22, median 30, upper quartile 35 and maximum 42. Work out the interquartile range.
5
Bounds2 marks
A mass is 26 kg, correct to the nearest whole number. Write down the upper bound.

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