Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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19th May 1998

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

  1. 1
    Algebraic Fractions3 marks

    Simplify (x^2 - 9)/(x + 3).

  2. 2
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 2, y = 24. Work out the positive value of x when y = 96.

  3. 3
    3d Pythagoras and Trigonometry3 marks

    A cuboid measures 11 cm by 6 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

  4. 4
    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.

  5. 5
    Histograms3 marks

    A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 0.6. How many values in total?

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