Daily Practice

Higher

21st May 1968

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 4. Write y in terms of x.
2
Vectors3 marks
a is the column vector (1, -3) and b is (3, -5). Work out 3a - 4b as a column vector.
3
Probability Trees3 marks
2 of 8 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Capture Recapture3 marks
40 beetles are marked and released. Later 36 are caught, of which 9 are marked. Estimate the population.
5
Fractional and Negative Indices3 marks
Work out 36^(3/2).

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