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Higher Plus

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25th December 1957

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

  1. 1
    Bounds3 marks

    A rectangle is 22 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Algebraic Fractions3 marks

    Write 5/(x + 2) + 3/(x - 5) as a single fraction.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 9 cm, 8 cm and 12 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.

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