Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
6th January 2010
- 1Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 108 cm^3. Work out the volume of the smaller.
- 2Probability Trees3 marks
A bag holds 5 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
- 3Cumulative Frequency2 marks
Four classes in order have frequencies 3, 6, 7, 11. Write down the cumulative frequency at the end of the third class.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.3131... as a fraction in its simplest form.
- 5Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 8/x, work out y when x = 2, and write down the equation of its vertical asymptote.
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