Daily Practice

Higher

17th April 1954

5 questions · 14 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 = 3, y = 27. Work out y when x = 8.
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
2 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 9, lower quartile 18, median 20, upper quartile 23 and maximum 31. Work out the interquartile range.
5
Fractional and Negative Indices3 marks
Work out 100^(3/2).

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