Daily Practice

Higher

10th March 1959

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 5. Write y in terms of x.
2
Vectors3 marks
a is the column vector (6, -2) and b is (0, -3). Work out 2a - 2b 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 Recapture3 marks
45 beetles are marked and released. Later 21 are caught, of which 7 are marked. Estimate the population.
5
Surds2 marks
Write sqrt(12) in the form a sqrt(b), where b is as small as possible.

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