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Higher Plus

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23rd February 1973

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Inverse and Composite Functions3 marks

    f(x) = 4x + 3 and g(x) = 2x - 5. Work out fg(3).

  2. 2
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 6, y = 252. Work out the positive value of x when y = 343.

  3. 3
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 5a + 4b and vector RS = 15a + 12b. What does this show about PQ and RS?

  4. 4
    Probability Equation Questions3 marks

    The probability of winning a game is 3/5. A player expects 24 wins. How many games did they play?

  5. 5
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 1.4. How many values in total?

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