Daily Practice

Higher

11th August 1973

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 = 4, y = 144. Work out y when x = 8.
2
Spheres and Cones3 marks
A sphere has radius 9 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
5 of 10 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 3, lower quartile 7, median 15, upper quartile 22 and maximum 28. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.444... as a fraction in its simplest form.

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