Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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15th November 2015

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

  1. 1
    Bounds3 marks

    x = 176 and y = 61, each correct to the nearest whole number. Work out the upper bound of x - y.

  2. 2
    The Nth Term of a Quadratic Sequence3 marks

    Work out the nth term of the quadratic sequence -3, -5, -5, -3, ...

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.

  4. 4
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = a and vector OB = b. M is the point dividing AB in the ratio 3 : 1. Write vector OM in terms of a and b.

  5. 5
    Probability Equation Questions3 marks

    The probability of winning a game is 7/10. A player expects 77 wins. How many games did they play?

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