Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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12th March 2017

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

  1. 1
    Perpendicular Lines and the equation of a tangent3 marks

    The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.

  2. 2
    Conditional Probability3 marks

    A bag holds 7 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?

  4. 4
    Bounds3 marks

    x = 111 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.

  5. 5
    Trigonometric and Exponential Graphs2 marks

    The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.

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