Daily Practice · Higher Plus

Daily Practice - Higher Plus

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7th May 1995

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

  1. 1
    Perpendicular Lines and the equation of a tangent3 marks

    The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.

  2. 2
    Conditional Probability3 marks

    A bag holds 7 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?

  4. 4
    Bounds3 marks

    x = 197 and y = 180, each correct to the nearest whole number. Work out the upper bound of x - y.

  5. 5
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence -1, 1, 5, 11, ...

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