Daily Practice

Higher

26th August 1961

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 = 54. Work out y when x = 2.
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 15, lower quartile 21, median 25, upper quartile 33 and maximum 39. Work out the interquartile range.
5
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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