Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

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29th September 2007

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

  1. 1
    Expanding and Factorising Quadratics2 marks

    Factorise x^2 - 64.

  2. 2
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 32. Work out y when x = 3.

  3. 3
    Circle Theorems2 marks

    A, B and C are points on a circle with centre O. Angle AOC is 48°. Work out angle ABC, where B is on the major arc.

  4. 4
    Venn Diagrams3 marks

    In a Venn diagram, 4 are in A only, 17 in B only, 7 in both and 10 in neither. Work out the probability a random one is in both.

  5. 5
    Box Plots2 marks

    A box plot has minimum 6, lower quartile 16, median 26, upper quartile 34 and maximum 38. Work out the interquartile range.

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