Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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28th May 2023

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 9 cm by 3 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.

  3. 3
    Histograms3 marks

    A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?

  4. 4
    Bounds3 marks

    x = 71 and y = 40, each correct to the nearest whole number. Work out the upper bound of x - y.

  5. 5
    Completing the Square3 marks

    Work out the coordinates of the turning point of y = x^2 - 14x - 10.

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