Daily Practice · Higher

Daily Practice - Higher

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

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7th September 2024

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

  1. 1
    The Sine Rule3 marks

    In triangle ABC, angle A is 68°, angle B is 35° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.

  2. 2
    Venn Diagrams3 marks

    In a Venn diagram, 3 are in A only, 12 in B only, 12 in both and 4 in neither. Work out the probability a random one is in both.

  3. 3
    Box Plots2 marks

    A box plot has minimum 13, lower quartile 21, median 30, upper quartile 40 and maximum 47. Work out the interquartile range.

  4. 4
    The Product Rule for Counting3 marks

    A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

  5. 5
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 - 2x - 35.

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