Daily Practice

Higher

8th February 1983

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 = 5 : 7. Write y in terms of x.
2
Vectors3 marks
a is the column vector (-6, 6) and b is (-1, -2). Work out 4a - 2b as a column vector.
3
Probability Trees3 marks
4 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
10 beetles are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
5
Standard Form2 marks
Work out (6 x 10^7) x (6 x 10^-6). Give your answer in standard form.

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