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Higher Plus

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5th June 1983

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

  1. 1
    Histograms2 marks

    On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    x = 123 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Rearranging Harder Formulae3 marks

    Make x the subject of 6x + 4 = y(x + 4).

  4. 4
    Velocity Time Graphs3 marks

    A tram runs at 20 m/s for 10 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.

  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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