Daily Practice

Higher

1st May 1965

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 = 4, y = 80. Work out y when x = 3.
2
Spheres and Cones3 marks
A sphere has radius 6 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
4 of 7 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 4, lower quartile 13, median 23, upper quartile 31 and maximum 41. Work out the interquartile range.
5
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.

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