Daily Practice

Higher

6th February 1988

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 = 5, y = 100. Work out y when x = 8.
2
Vectors3 marks
a is the column vector (-3, 2) and b is (1, -4). Work out 4a - 4b as a column vector.
3
Probability Trees3 marks
1 of 5 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 12, lower quartile 16, median 19, upper quartile 23 and maximum 25. Work out the interquartile range.
5
Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.

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