Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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29th November 2002

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

  1. 1
    Surds3 marks

    Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.

  2. 2
    Proof2 marks

    In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 15 cm, 15 cm and 6 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.

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