Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

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13th January 2002

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

  1. 1
    Probability Equation Questions3 marks

    A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.

  2. 2
    Histograms3 marks

    A histogram has four 10-wide classes from 0, with frequency densities 0.5, 2, 1, 3. Which class contains the median?

  3. 3
    Bounds3 marks

    x = 133 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.

  4. 4
    Proof3 marks

    Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.

  5. 5
    Direct and Inverse Proportion Depth3 marks

    y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.

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