Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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24th February 2024

5 questions · 14 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 1.2, one 20 units wide with density 1.4. How many values in total?

  2. 2
    Bounds3 marks

    A car covers 900 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  3. 3
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 + 2x - 5.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 7 m/s to 9.5 m/s over 5 seconds. Work out the acceleration.

  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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