Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

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1st November 2013

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 20/sqrt(2), giving your answer in its simplest form.

  2. 2
    Algebraic Fractions3 marks

    Write 7/(x + 2) + 4/(x - 1) as a single fraction.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 13 cm, 9 cm and 9 cm. Work out the angle opposite the 13 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 7/12. Work out n.

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