Daily Practice

Higher

30th April 1988

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 = 50. Work out y when x = 3.
2
Spheres and Cones3 marks
A sphere has radius 18 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
2 of 5 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 9, lower quartile 18, median 28, upper quartile 35 and maximum 44. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 9^-3 as a fraction.

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