Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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28th April 2024

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 11 cm by 12 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

  2. 2
    Conditional Probability3 marks

    A bag holds 6 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

  3. 3
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?

  4. 4
    Bounds3 marks

    x = 79 and y = 64, each correct to the nearest whole number. Work out the upper bound of x - y.

  5. 5
    Factorising Harder Quadratics3 marks

    Solve 4x^2 - 25x + 6 = 0.

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