Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
9th August 2001
- 1Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 729 cm^3. Work out the volume of the smaller.
- 2Probability Trees3 marks
A bag holds 9 red and 2 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Histograms2 marks
A histogram class is 5 units wide and contains 15 values. Work out the frequency density.
- 4Fractional and Negative Indices3 marks
Work out 216^(2/3).
- 5Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 44/x, work out y when x = -4, and write down the equation of its vertical asymptote.
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