Daily Practice

Higher

27th November 1973

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 = 2 : 3. Write y in terms of x.
2
Vectors3 marks
a is the column vector (-3, 4) and b is (4, 4). Work out 2a - 5b as a column vector.
3
Probability Trees3 marks
2 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 40 are caught, of which 5 are marked. Estimate the population.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.9696... as a fraction in its simplest form.

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