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Daily Practice - Higher

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

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14th August 2021

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

  1. 1
    Box Plots2 marks

    A box plot has minimum 6, lower quartile 11, median 17, upper quartile 25 and maximum 32. Work out the interquartile range.

  2. 2
    Surds2 marks

    Write sqrt(18) in the form a sqrt(b), where b is as small as possible.

  3. 3
    Expanding and Factorising Quadratics3 marks

    Factorise x^2 - 4x - 32.

  4. 4
    Direct and Inverse Proportion Depth3 marks

    y is directly proportional to x^2. When x = 4, y = 144. Work out y when x = 3.

  5. 5
    The Sine Rule3 marks

    In triangle ABC, angle A is 80°, angle B is 55° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.

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