Daily Practice

Higher Plus

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30th October 1988

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 1.2, one 25 units wide with density 3. How many values in total?

  2. 2
    Bounds3 marks

    x = 169 and y = 73, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 0, 13, 34, 63, ...

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 112. Work out the positive value of x when y = 448.

  5. 5
    Perpendicular Lines and the equation of a tangent3 marks

    The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.

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