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Higher Plus

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17th June 1975

5 questions · 13 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 2, one 25 units wide with density 1.4. How many values in total?

  2. 2
    Surds3 marks

    Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).

  3. 3
    Proof3 marks

    Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 5 m/s to 30 m/s over 10 seconds. Work out the acceleration.

  5. 5
    Proof of the Circle Theorems2 marks

    In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.

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