Daily Practice

Higher

23rd October 1982

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 = 5, y = 75. Work out y when x = 7.
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 2, lower quartile 5, median 7, upper quartile 15 and maximum 17. Work out the interquartile range.
5
Standard Form3 marks
Work out (45 x 10^7) / (9 x 10^4). Give your answer in standard form.

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