Daily Practice

Higher Plus

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3rd March 1976

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

  1. 1
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 3, 7, 15, 27, ...

  2. 2
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 648.

  3. 3
    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.

  4. 4
    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.

  5. 5
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 0.8. How many values in total?

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