Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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15th September 2022

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

  1. 1
    Surds3 marks

    Simplify sqrt(27) + sqrt(48), giving your answer in the form a sqrt(b).

  2. 2
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 - 8x + 15.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.

  4. 4
    The Cosine Rule3 marks

    A triangle has sides 17 cm, 6 cm and 15 cm. Work out the angle opposite the 17 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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