Daily Practice · Higher Plus

Daily Practice - Higher Plus

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6th June 1996

5 questions · 14 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) = 1/7. Work out r.

  3. 3
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?

  4. 4
    Surds3 marks

    Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).

  5. 5
    Quadratic Simultaneous Equations3 marks

    Solve x^2 + y^2 = 169 and y = x - 7 simultaneously.

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