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Higher Plus

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29th October 1954

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 0.8. How many values in total?

  2. 2
    Surds3 marks

    Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.

  3. 3
    Trigonometric and Exponential Graphs2 marks

    The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.

  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 m/s over 8 seconds. Work out the acceleration.

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

    The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.

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