Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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17th November 2024

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

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.

  2. 2
    Vectors Proof Questions3 marks

    OACB is a parallelogram with vector OA = b and vector OB = c. P is the midpoint. Write vector OP in terms of b and c.

  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 2, 0.5, 1, 3. Which class contains the median?

  5. 5
    Bounds3 marks

    x = 67 and y = 37, each correct to the nearest whole number. Work out the upper bound of x - y.

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