Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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14th May 2017

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

  1. 1
    Bounds3 marks

    x = 73 and y = 41, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Quadratic Inequalities3 marks

    Solve x^2 - 10x + 9 < 0.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 7 cm, 6 cm and 6 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.

  5. 5
    Probability Equation Questions3 marks

    A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.

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