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17th December 1994

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

  1. 1
    The Product Rule for Counting3 marks

    A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

  2. 2
    Solving Quadratics3 marks

    Solve x^2 - 15x + 56 = 0.

  3. 3
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 3.

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

    A line has gradient -2. Work out the gradient of a line perpendicular to it.

  5. 5
    Conditional Probability3 marks

    25 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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