Daily Practice · Higher

Daily Practice - Higher

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

23rd December 2004

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

1
Histograms2 marks
A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
2
Fractional and Negative Indices3 marks
Work out 8^(2/3).
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 32/x, work out y when x = -4, and write down the equation of its vertical asymptote.
4
Repeated Percentage Change3 marks
A town's population is 31000 and grows by 4% each year. Work out the population after 2 years, to the nearest whole number.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 486 cm^3. Work out the volume of the smaller.

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