Daily Practice · Higher Plus

Daily Practice - Higher Plus

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19th April 1993

5 questions · 15 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 1.5, one 20 units wide with density 3.5. How many values in total?

  2. 2
    Bounds3 marks

    A block has mass 600 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  3. 3
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence 5, 11, 23, 41, ...

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 27.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 2a - 4b and vector RS = 10a - 20b. What does this show about PQ and RS?

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