Daily Practice · Higher

Daily Practice - Higher

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

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2nd February 2025

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

  1. 1
    Expanding and Factorising Quadratics2 marks

    Factorise x^2 - 100.

  2. 2
    Direct and Inverse Proportion3 marks

    y is inversely proportional to x. When x = 4, y = 48. Work out y when x = 12.

  3. 3
    Circle Theorems2 marks

    A, B and C are points on a circle with centre O. Angle AOC is 142°. Work out angle ABC, where B is on the major arc.

  4. 4
    Venn Diagrams3 marks

    In a Venn diagram, 16 are in A only, 11 in B only, 8 in both and 2 in neither. Work out the probability a random one is in both.

  5. 5
    Box Plots2 marks

    A box plot has a minimum of 19 and a maximum of 74. Work out the range.

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