Daily Practice · Higher

Daily Practice - Higher

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

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14th September 2025

5 questions · 11 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Circle Theorems2 marks

    A, B and C are points on a circle with centre O. Angle AOC is 76°. Work out angle ABC, where B is on the major arc.

  2. 2
    Venn Diagrams3 marks

    In a Venn diagram, 10 are in A only, 3 in B only, 6 in both and 9 in neither. Work out the probability a random one is in both.

  3. 3
    Box Plots2 marks

    A box plot has a minimum of 15 and a maximum of 68. Work out the range.

  4. 4
    Fractional and Negative Indices2 marks

    Write 8^-2 as a fraction.

  5. 5
    Expanding and Factorising Quadratics2 marks

    Factorise x^2 - 81.

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