Daily Practice

Higher

10th November 1990

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 = 36. Work out y when x = 6.
2
Vectors3 marks
a is the column vector (2, -6) and b is (0, -6). Work out 3a - 5b as a column vector.
3
Probability Trees3 marks
7 of 9 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 19, median 21, upper quartile 24 and maximum 29. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 4^-3 as a fraction.

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