Daily Practice · Higher Plus

Daily Practice - Higher Plus

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11th February 1996

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

  1. 1
    Completing the Square3 marks

    Write x^2 - 14x - 2 in the form (x + a)^2 + b.

  2. 2
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 0 m/s to 10 m/s over 5 seconds. Work out the acceleration.

  3. 3
    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.

  4. 4
    Conditional Probability3 marks

    A bag holds 7 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  5. 5
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?

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