Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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3rd June 2005

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?

  2. 2
    Surds3 marks

    Rationalise the denominator of 45/sqrt(5), giving your answer in its simplest form.

  3. 3
    Completing the Square3 marks

    Write x^2 + 2x + 11 in the form (x + a)^2 + b.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 1 m/s to 8.5 m/s over 5 seconds. Work out the acceleration.

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

    The point (9, 12) lies on the circle x^2 + y^2 = 225. Work out the gradient of the tangent to the circle at that point.

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