Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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1st June 2022

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

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 36, y = 18. Work out y when x = 25.

  2. 2
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = m and vector OB = b. M is the midpoint. Write vector OM in terms of m and b.

  3. 3
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 20 wins. How many games did they play?

  4. 4
    Histograms3 marks

    A histogram has four 10-wide classes from 0, with frequency densities 0.5, 3, 1, 2. Which class contains the median?

  5. 5
    Bounds3 marks

    A rectangle is 9 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.

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