Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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1st July 2005

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 9 cm by 15 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 7/15. Work out n.

  3. 3
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?

  4. 4
    Surds3 marks

    Rationalise the denominator of 35/sqrt(7), giving your answer in its simplest form.

  5. 5
    Quadratic Inequalities3 marks

    Solve x^2 + 14x + 48 > 0.

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