Daily Practice

Higher

15th September 1987

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 = 5 : 9. Write y in terms of x.
2
Vectors3 marks
a is the column vector (-2, 3) and b is (0, 6). Work out 2a - 4b as a column vector.
3
Probability Trees3 marks
1 of 5 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 newts are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.666... as a fraction in its simplest form.

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