Daily Practice · Higher

Daily Practice - Higher

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

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31st August 2001

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

  1. 1
    Expanding Triple Brackets3 marks

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

  2. 2
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 2, y = 18. Work out y when x = 14.

  3. 3
    Pythagoras2 marks

    A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 21 cm. Work out the other shorter side.

  4. 4
    Venn Diagrams3 marks

    In a Venn diagram, 6 are in A only, 15 in B only, 12 in both and 4 in neither. Work out the probability a random one is in both.

  5. 5
    Capture Recapture2 marks

    A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.

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