Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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29th March 2015

5 questions · 12 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.

  3. 3
    Histograms2 marks

    On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?

  4. 4
    Bounds3 marks

    x = 91 and y = 20, 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 = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.

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