Daily Practice · Higher Plus

Daily Practice - Higher Plus

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2nd January 1994

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

  1. 1
    Histograms2 marks

    On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    x = 72 and y = 7, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Algebraic Fractions3 marks

    Simplify (x^2 + 3x + 2)/(x + 1).

  4. 4
    Velocity Time Graphs3 marks

    A tram runs at 11 m/s for 30 s, then slows steadily to rest over 6 s. Work out its average speed for the whole journey, to 2 decimal places.

  5. 5
    Perpendicular Lines and the equation of a tangent3 marks

    The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.

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