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Higher Plus

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1st February 1981

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

  1. 1
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 6a + 2b and vector RS = 18a + 6b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 40 wins. How many games did they play?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?

  4. 4
    Bounds3 marks

    x = 40 and y = 5, each correct to the nearest whole number. Work out the upper bound of x - y.

  5. 5
    Iteration3 marks

    Use the iteration x(n+1) = cube root of (4x(n) + 8) with x(0) = 2. Work out x(1) to 3 decimal places.

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