Daily Practice · Higher

Daily Practice - Higher

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

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9th October 2023

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

  1. 1
    Cumulative Frequency2 marks

    A cumulative frequency graph is drawn for 68 values. What cumulative frequency do you read across from to estimate the lower quartile?

  2. 2
    Fractional and Negative Indices3 marks

    Work out 100^(3/2).

  3. 3
    Drawing Other Graphs: Cubic/Reciprocal2 marks

    For the curve y = -100/x, work out y when x = 10, and write down the equation of its vertical asymptote.

  4. 4
    Repeated Percentage Change3 marks

    A price rises by 25% and then falls by 10%. Work out the overall percentage change, to 2 decimal places.

  5. 5
    Similar Shapes (Area and Volume)3 marks

    Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 162 cm^3. Work out the volume of the smaller.

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