Daily Practice

Higher

14th December 1979

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 = 8, y = 40. Work out y when x = 13.
2
Vectors3 marks
a is the column vector (-1, -3) and b is (6, -3). Work out 5a - 5b as a column vector.
3
Probability Trees3 marks
2 of 9 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
Fractional and Negative Indices3 marks
Work out 27^(2/3).

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