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Higher Plus

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23rd July 1968

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 3. How many values in total?

  2. 2
    Surds3 marks

    Expand and simplify (6 + sqrt(5))(6 - sqrt(5)).

  3. 3
    Completing the Square3 marks

    Write x^2 - 2x + 7 in the form (x + a)^2 + b.

  4. 4
    Velocity Time Graphs2 marks

    On a velocity-time graph a car speeds up in a straight line from 2 m/s to 32 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 two tangents are drawn to a circle from the same external point. State the reason being quoted.

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