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Higher Plus

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5th November 1971

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?

  2. 2
    Surds3 marks

    Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.

  3. 3
    Inverse and Composite Functions3 marks

    f(x) = 2x + 6 and g(x) = 6x + 9. Work out fg(1).

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 7 m/s to 19.5 m/s over 5 seconds. Work out the acceleration.

  5. 5
    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.

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