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Higher Plus

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1st March 1984

5 questions · 13 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 1.5, one 25 units wide with density 3. How many values in total?

  2. 2
    Surds3 marks

    Simplify sqrt(80) + sqrt(245), giving your answer in the form a sqrt(b).

  3. 3
    The Nth Term of a Quadratic Sequence2 marks

    A quadratic sequence starts 0, 7, 16, 27. Work out the second difference, and the coefficient of n^2.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 5, y = 50. Work out the positive value of x when y = 32.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.

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