Daily Practice

Higher

10th January 1984

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 (6, 6) and b is (2, -1). Work out 3a - 4b as a column vector.
3
Probability Trees3 marks
6 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
30 voles are marked and released. Later 24 are caught, of which 6 are marked. Estimate the population.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.1313... as a fraction in its simplest form.

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