Daily Practice

Higher

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18th July 1989

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Writing a Ratio as a Fraction or Linear Function2 marks

    x : y = 2 : 5. Write y in terms of x.

  2. 2
    Vectors3 marks

    a is the column vector (2, -6) and b is (-3, 3). Work out 2a - 2b as a column vector.

  3. 3
    Probability Trees3 marks

    1 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

  4. 4
    Capture Recapture3 marks

    40 fish are marked and released. Later 15 are caught, of which 5 are marked. Estimate the population.

  5. 5
    Surds2 marks

    Write sqrt(20) in the form a sqrt(b), where b is as small as possible.

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