Daily Practice

Higher

2nd August 1977

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 = 3 : 5. Write y in terms of x.
2
Vectors3 marks
a is the column vector (6, 2) and b is (6, -6). Work out 5a - 5b as a column vector.
3
Probability Trees3 marks
3 of 10 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 newts are marked and released. Later 48 are caught, of which 4 are marked. Estimate the population.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.444... as a fraction in its simplest form.

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