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Higher Plus

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12th June 1969

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 1.4. How many values in total?

  2. 2
    Surds3 marks

    Simplify sqrt(8) + sqrt(50), giving your answer in the form a sqrt(b).

  3. 3
    Proof2 marks

    In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 6, y = 144. Work out the positive value of x when y = 144.

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

    The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.

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