Daily Practice · Higher

Daily Practice - Higher

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

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18th May 2021

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

  1. 1
    Expanding Triple Brackets3 marks

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

  2. 2
    Writing a Ratio as a Fraction or Linear Function2 marks

    x : y = 3 : 4. Write y in terms of x.

  3. 3
    Pythagoras2 marks

    A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.

  4. 4
    Venn Diagrams3 marks

    In a Venn diagram, 18 are in A only, 11 in B only, 12 in both and 6 in neither. Work out the probability a random one is in both.

  5. 5
    Capture Recapture3 marks

    40 beetles are marked and released. Later 72 are caught, of which 9 are marked. Estimate the population.

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