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Daily Practice - Higher

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

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20th December 2024

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

  1. 1
    Capture Recapture2 marks

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

  2. 2
    Reverse Percentages3 marks

    A bill is £168 including VAT at 20%. Work out the amount before VAT.

  3. 3
    Expanding Triple Brackets3 marks

    Expand and simplify (x - 5)(x + 3)(x + 1).

  4. 4
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 7, y = 56. Work out y when x = 15.

  5. 5
    Pythagoras2 marks

    A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 7 cm. Work out the other shorter side.

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