Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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16th December 2009

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

  1. 1
    Bounds3 marks

    A rectangle is 13 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Inverse and Composite Functions3 marks

    f(x) = 2x - 8. Work out the inverse function f^-1(x).

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = p and vector OB = m. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of p and m.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 16 wins. How many games did they play?

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