Daily Practice · Higher

Daily Practice - Higher

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

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17th June 1997

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

  1. 1
    Expanding Triple Brackets3 marks

    Expand and simplify (x + 2)(x - 5)(x - 1).

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

    x : y = 5 : 7. Write y in terms of x.

  3. 3
    Pythagoras2 marks

    A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.

  4. 4
    Venn Diagrams3 marks

    In a Venn diagram, 13 are in A only, 4 in B only, 9 in both and 6 in neither. Work out the probability a random one is in both.

  5. 5
    Capture Recapture3 marks

    60 beetles are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.

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