Daily Practice

Higher Plus

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17th July 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 2. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    A rectangle is 9 cm by 13 cm, each correct to the nearest cm. Work out the upper bound of its area.

  3. 3
    Quadratic Inequalities3 marks

    Solve x^2 - 4x - 12 > 0.

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 9 m/s to 19 m/s over 6 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 (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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