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Higher Plus

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21st June 1972

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

  1. 1
    Bounds3 marks

    A rectangle is 30 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Proof2 marks

    In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?

  3. 3
    Velocity Time Graphs2 marks

    A train slows steadily from 31 m/s to rest in 4 seconds. Work out its deceleration.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides of 16 cm and 7 cm with an angle of 87° between them. Work out the third side, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    A bag holds 4 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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