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16th October 1992

5 questions · 15 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
    Quadratic Formula3 marks

    Use the quadratic formula to solve x^2 + 8x + 3 = 0, to 2 decimal places.

  3. 3
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 7, y = 49. Work out y when x = 14.

  4. 4
    Similar Shapes (Area and Volume)3 marks

    Two similar shapes have lengths in the ratio 1 : 4. The smaller has an area of 29 cm^2. Work out the area of the larger.

  5. 5
    Conditional Probability3 marks

    20 students study Spanish and 8 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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