Daily Practice

Higher

14th June 1975

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 = 5, y = 75. Work out y when x = 2.
2
Spheres and Cones3 marks
A sphere has radius 3 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
6 of 9 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 13, lower quartile 22, median 25, upper quartile 29 and maximum 33. Work out the interquartile range.
5
Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.

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