Daily Practice · Higher Plus

Daily Practice - Higher Plus

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25th August 1996

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 3. How many values in total?

  2. 2
    Bounds3 marks

    x = 152 and y = 84, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 7, 13, 21, 31, ...

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 3, y = 18. Work out the positive value of x when y = 32.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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