Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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13th May 2003

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

  1. 1
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 13 cm by 7 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  2. 2
    Probability Equation Questions3 marks

    A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.

  3. 3
    Histograms3 marks

    A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?

  4. 4
    Surds3 marks

    Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).

  5. 5
    Algebraic Fractions3 marks

    Write 2/(x - 1) + 7/(x + 4) as a single fraction.

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