Daily Practice

Higher

7th March 1987

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 = 6, y = 72. Work out y when x = 8.
2
Vectors3 marks
a is the column vector (1, 0) and b is (-2, 1). Work out 2a - 2b as a column vector.
3
Probability Trees3 marks
3 of 6 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 19, upper quartile 27 and maximum 31. Work out the interquartile range.
5
Fractional and Negative Indices3 marks
Work out 100^(3/2).

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