Daily Practice · Higher

Daily Practice - Higher

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

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17th February 2022

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

  1. 1
    Surds2 marks

    Write sqrt(75) 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 - 5x + 5, work out y when x = 4.

  3. 3
    Repeated Percentage Change3 marks

    A town's population is 7500 and grows by 3% each year. Work out the population after 4 years, to the nearest whole number.

  4. 4
    Sector Areas and Arc Lengths3 marks

    A sector of a circle has radius 12 cm and angle 45°. Work out its area, to 1 decimal place.

  5. 5
    Conditional Probability3 marks

    12 students study Spanish and 7 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.

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