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Higher Plus

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2nd July 1979

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

  1. 1
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 1.2, one 5 units wide with density 1.4. How many values in total?

  2. 2
    Bounds3 marks

    A block has mass 440 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  3. 3
    Proof2 marks

    In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 8 in terms of an integer n?

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 72.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 5a + 4b and vector RS = 25a + 20b. What does this show about PQ and RS?

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