Daily Practice · Higher

Daily Practice - Higher

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

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11th October 2024

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

  1. 1
    Drawing Other Graphs: Cubic/Reciprocal2 marks

    For the curve y = 20/x, work out y when x = -2, and write down the equation of its vertical asymptote.

  2. 2
    Direct and Inverse Proportion3 marks

    y is directly proportional to x. When x = 5, y = 55. Work out y when x = 3.

  3. 3
    Similar Shapes (Area and Volume)3 marks

    Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1920 cm^3. Work out the volume of the smaller.

  4. 4
    Probability Trees3 marks

    A bag holds 3 red and 5 blue counters. Two are taken without replacement. Work out the probability both are red.

  5. 5
    Capture Recapture2 marks

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

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