Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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7th December 2024

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

  1. 1
    Probability Equation Questions3 marks

    The probability of winning a game is 1/2. A player expects 56 wins. How many games did they play?

  2. 2
    Histograms3 marks

    A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?

  3. 3
    Bounds3 marks

    A car covers 740 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

  4. 4
    Proof3 marks

    Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 81.

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