Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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27th January 2002

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

  1. 1
    Bounds3 marks

    x = 189 and y = 169, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    Proof2 marks

    In an algebraic proof, how would you write an even number in terms of an integer n?

  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
    Vectors Proof Questions3 marks

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

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 3/4. A player expects 36 wins. How many games did they play?

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