Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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7th May 2024

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

  1. 1
    Surds3 marks

    Expand and simplify (8 + sqrt(2))(8 - sqrt(2)).

  2. 2
    Quadratic Inequalities3 marks

    Solve x^2 - 2x - 8 < 0.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 15 cm, 7 cm and 14 cm. Work out the angle opposite the 15 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 7/15. Work out n.

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