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16th July 1989

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 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

  2. 2
    Drawing Quadratic Graphs2 marks

    For the curve y = x^2 - 3x - 8, work out y when x = 4.

  3. 3
    Direct and Inverse Proportion3 marks

    y is inversely proportional to x. When x = 2, y = 24. Work out y when x = 6.

  4. 4
    Sector Areas and Arc Lengths3 marks

    A sector of a circle has radius 4 cm and angle 60°. Work out its area, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    23 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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