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Higher Plus

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11th January 1966

5 questions · 15 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 0.4, one 10 units wide with density 0.8. How many values in total?

  2. 2
    Surds3 marks

    Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).

  3. 3
    Quadratic Inequalities3 marks

    Solve x^2 + 4x + 3 > 0.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 196.

  5. 5
    Vectors Proof Questions3 marks

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

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