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Higher Plus

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14th November 1968

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

  1. 1
    Histograms2 marks

    On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?

  2. 2
    Surds3 marks

    Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).

  3. 3
    Algebraic Fractions3 marks

    Simplify (x^2 + 7x + 6)/(x + 1).

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 5 m/s to 22 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.

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

    The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.

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