Daily Practice

Higher

21st December 1957

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 = 3, y = 54. Work out y when x = 9.
2
Spheres and Cones3 marks
A sphere has radius 18 cm. Work out its volume, leaving your answer in terms of pi.
3
Probability Trees3 marks
1 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 11, lower quartile 19, median 24, upper quartile 26 and maximum 34. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 3^-1 as a fraction.

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