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Higher Plus

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8th September 1957

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

  1. 1
    Bounds3 marks

    x = 122 and y = 98, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Rearranging Harder Formulae3 marks

    Make x the subject of 8x + 8 = y(x + 8).

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 25 m/s to rest in 10 seconds. Work out its deceleration.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides of 10 cm and 13 cm with an angle of 38° between them. Work out the third side, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 3 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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