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13th December 1986

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

  1. 1
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 3, y = 36. Work out y when x = 7.

  2. 2
    Finding the Area of Any Triangle3 marks

    A triangle has sides of 4 cm and 13 cm with an angle of 105° between them. Work out its area, to 1 decimal place.

  3. 3
    Probability Trees3 marks

    2 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

  4. 4
    Box Plots2 marks

    A box plot has minimum 14, lower quartile 19, median 28, upper quartile 38 and maximum 48. Work out the interquartile range.

  5. 5
    The Product Rule for Counting3 marks

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

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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1986, including the monthly compilation PDF.