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16th August 1990

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    The Product Rule for Counting3 marks

    A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?

  2. 2
    Solving Quadratics3 marks

    Solve x^2 + 16x + 64 = 0.

  3. 3
    Repeated Percentage Change3 marks

    A town's population is 36500 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.

  4. 4
    Perpendicular Lines and the equation of a tangent2 marks

    A line has gradient -5. Work out the gradient of a line perpendicular to it.

  5. 5
    Conditional Probability3 marks

    21 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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