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Higher Plus

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1st August 1956

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

  1. 1
    Histograms2 marks

    On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?

  2. 2
    Bounds3 marks

    A rectangle is 8 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.

  3. 3
    Algebraic Fractions3 marks

    Simplify (x^2 - 4)/(x + 2).

  4. 4
    Velocity Time Graphs3 marks

    A cyclist speeds up steadily from 5 m/s to 15 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 = 5a + b and vector RS = 20a + 4b. What does this show about PQ and RS?

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