Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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4th August 2025

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 1/8. A player expects 3 wins. How many games did they play?

  2. 2
    Histograms3 marks

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

  3. 3
    Bounds3 marks

    A block has mass 850 g (to the nearest 10 g) and volume 5 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

  4. 4
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 - 4x - 7.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 36.

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