Daily Practice

Higher Plus

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31st July 1985

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

  1. 1
    Bounds3 marks

    A rectangle is 26 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Algebraic Fractions3 marks

    Simplify (x^2 - 5x - 14)/(x - 7).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 7 cm, 12 cm and 7 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.

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