Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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17th November 2019

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 0.8. How many values in total?

  2. 2
    Bounds3 marks

    x = 145 and y = 120, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Inverse and Composite Functions3 marks

    f(x) = 4x + 2 and g(x) = 3x - 6. Work out fg(5).

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 0 m/s to 15 m/s over 10 seconds. Work out the acceleration.

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

    The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.

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