Daily Practice · Higher

Daily Practice - Higher

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

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14th August 2025

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

  1. 1
    Repeated Percentage Change3 marks

    A town's population is 33000 and grows by 5% each year. Work out the population after 3 years, to the nearest whole number.

  2. 2
    SOHCAHTOA (Trigonometry)3 marks

    A right-angled triangle has a hypotenuse of 8 cm and an angle of 33°. Work out the side opposite that angle, to 1 decimal place.

  3. 3
    Probability Trees3 marks

    1 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

  4. 4
    Histograms2 marks

    A histogram class is 10 units wide and contains 5 values. Work out the frequency density.

  5. 5
    The Product Rule for Counting3 marks

    A code is 3 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?

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