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Higher Plus

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30th July 1987

5 questions · 14 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 = 4a - 6b and vector RS = 20a - 30b. What does this show about PQ and RS?

  2. 2
    Probability Equation Questions3 marks

    The probability of winning a game is 3/4. A player expects 48 wins. How many games did they play?

  3. 3
    Histograms2 marks

    On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?

  4. 4
    Surds3 marks

    Simplify sqrt(72) + sqrt(8), giving your answer in the form a sqrt(b).

  5. 5
    Inverse and Composite Functions3 marks

    f(x) = 6x - 2 and g(x) = 3x + 4. Work out fg(1).

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