Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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7th July 2021

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 8 cm by 8 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 7 red and n blue counters. The probability of taking a red is 7/10. Work out n.

  3. 3
    Histograms2 marks

    On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

  4. 4
    Bounds3 marks

    A rectangle is 30 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.

  5. 5
    Algebraic Fractions3 marks

    Write 6/(x - 4) + 4/(x - 5) as a single fraction.

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