Daily Practice

Higher

25th March 1988

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 7, y = 77. Work out y when x = 15.
2
Vectors3 marks
a is the column vector (6, -3) and b is (0, -4). Work out 5a - 3b as a column vector.
3
Probability Trees3 marks
3 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
5
Standard Form3 marks
Work out (35 x 10^12) / (7 x 10^4). Give your answer in standard form.

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