Daily Practice · Higher

Daily Practice - Higher

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

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30th July 2023

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

  1. 1
    Surds2 marks

    Write sqrt(98) in the form a sqrt(b), where b is as small as possible.

  2. 2
    Drawing Quadratic Graphs2 marks

    For the curve y = x^2 + 4x + 10, work out y when x = -4.

  3. 3
    Direct and Inverse Proportion3 marks

    y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 6.

  4. 4
    Sector Areas and Arc Lengths3 marks

    A sector of a circle has radius 5 cm and angle 300°. Work out its area, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    28 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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