Daily Practice

Higher Plus

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17th September 1986

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

    A rectangle is 5 cm by 21 cm, each correct to the nearest cm. Work out the upper bound of its area.

  3. 3
    Completing the Square3 marks

    Write x^2 + 16x - 12 in the form (x + a)^2 + b.

  4. 4
    Velocity Time Graphs3 marks

    A tram runs at 6 m/s for 20 s, then slows steadily to rest over 10 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 the alternate segment theorem is being proved. State the reason being quoted.

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