Daily Practice

Higher Plus

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17th March 1991

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 6 cm by 5 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.

  3. 3
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3. How many values in total?

  4. 4
    Bounds3 marks

    x = 113 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.

  5. 5
    Inverse and Composite Functions3 marks

    f(x) = 2x + 7 and g(x) = 2x + 5. Work out fg(-1).

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