Daily Practice

Higher

26th January 1990

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 = 3, y = 27. Work out y when x = 5.
2
Vectors3 marks
a is the column vector (-6, 6) and b is (1, 6). Work out 2a - 3b as a column vector.
3
Probability Trees3 marks
4 of 6 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 newt population of a stream. State one assumption the method relies on.
5
Fractional and Negative Indices3 marks
Work out 100^(3/2).

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