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Higher Plus

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23rd October 1986

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms2 marks

    On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?

  2. 2
    Surds3 marks

    Simplify sqrt(12) + sqrt(147), giving your answer in the form a sqrt(b).

  3. 3
    Factorising Harder Quadratics3 marks

    Solve 4x^2 - 4x - 15 = 0.

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 10 m/s to 23 m/s over 12 seconds. Use the area under the velocity-time graph to find the distance travelled.

  5. 5
    Vectors Proof Questions3 marks

    In a vector proof you find that vector PQ = 4a - 4b and vector RS = 8a - 8b. What does this show about PQ and RS?

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