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Higher Plus

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22nd March 1964

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 1.5, one 25 units wide with density 0.8. How many values in total?

  2. 2
    Bounds3 marks

    x = 107 and y = 74, each correct to the nearest whole number. Work out the upper bound of x - y.

  3. 3
    Quadratic Simultaneous Equations3 marks

    Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 4 m/s to 14 m/s over 20 seconds. Work out the acceleration.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 3a + 3b and vector RS = 15a + 15b. What does this show about PQ and RS?

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