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22nd May 1954

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Expanding and Factorising Quadratics2 marks

    Factorise x^2 - 121.

  2. 2
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 3, y = 63. Work out y when x = 2.

  3. 3
    Circle Theorems2 marks

    A, B and C are points on a circle with centre O. Angle AOC is 152°. Work out angle ABC, where B is on the major arc.

  4. 4
    Venn Diagrams3 marks

    In a Venn diagram, 8 are in A only, 13 in B only, 2 in both and 7 in neither. Work out the probability a random one is in both.

  5. 5
    Box Plots2 marks

    A box plot has minimum 10, lower quartile 17, median 22, upper quartile 32 and maximum 36. Work out the interquartile range.

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Any date always gives the same five questions, so a sheet can be set again or shared. All of May 1954, including the monthly compilation PDF.