Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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29th August 2007

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

  1. 1
    Bounds3 marks

    A rectangle is 15 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.

  2. 2
    Proof2 marks

    In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = m and vector OB = a. N is the point dividing AB in the ratio 3 : 1. Write vector ON in terms of m and a.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 3/5. A player expects 54 wins. How many games did they play?

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