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Higher Plus

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14th August 1983

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

  1. 1
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 3/28. Work out r.

  3. 3
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?

  4. 4
    Bounds3 marks

    x = 80 and y = 6, 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 -3, 5, 19, 39, ...

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