Daily Practice · Higher

Daily Practice - Higher

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

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14th April 2026

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

  1. 1
    Capture Recapture3 marks

    40 newts are marked and released. Later 18 are caught, of which 6 are marked. Estimate the population.

  2. 2
    Recurring Decimals to Fractions3 marks

    Write the recurring decimal 0.888... as a fraction in its simplest form.

  3. 3
    Expanding Triple Brackets3 marks

    Expand and simplify (x + 3)(x - 2)(x - 4).

  4. 4
    Writing a Ratio as a Fraction or Linear Function2 marks

    x : y = 5 : 9. Write y in terms of x.

  5. 5
    Pythagoras2 marks

    A right-angled triangle has a hypotenuse of 26 cm and one shorter side of 24 cm. Work out the other shorter side.

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