Daily Practice

Higher

1st April 1989

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 = 2, y = 12. Work out y when x = 9.
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 8 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 16, median 19, upper quartile 25 and maximum 28. Work out the interquartile range.
5
Standard Form2 marks
Work out (3 x 10^4) x (3 x 10^5). Give your answer in standard form.

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