Daily Practice · Higher

Daily Practice - Higher

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

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15th January 2024

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

  1. 1
    Expanding and Factorising Quadratics2 marks

    Factorise x^2 - 16.

  2. 2
    Repeated Percentage Change3 marks

    A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.

  3. 3
    Circle Theorems2 marks

    A, B and C are points on a circle with centre O. Angle AOC is 168°. Work out angle ABC, where B is on the major arc.

  4. 4
    Venn Diagrams3 marks

    In a Venn diagram, 7 are in A only, 9 in B only, 12 in both and 5 in neither. Work out the probability a random one is in both.

  5. 5
    Cumulative Frequency2 marks

    A cumulative frequency graph is drawn for 72 values. What cumulative frequency do you read across from to estimate the lower quartile?

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