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Higher Plus

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13th January 1963

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 5 cm by 6 cm by 8 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 1/2. Work out n.

  3. 3
    Histograms2 marks

    On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

  4. 4
    Bounds3 marks

    x = 99 and y = 44, each correct to the nearest whole number. Work out the upper bound of x - y.

  5. 5
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 15, 35, 65, 105. Work out the second difference, and the coefficient of n^2.

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