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Higher Plus

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21st December 1983

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

  1. 1
    Bounds3 marks

    A rectangle is 18 cm by 10 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Factorising Harder Quadratics3 marks

    Solve 16x^2 + 40x + 25 = 0.

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 34 m/s to rest in 5 seconds. Work out its deceleration.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides of 5 cm and 5 cm with an angle of 93° between them. Work out the third side, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 3 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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