Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
25th October 2023
- 1Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1856 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.
- 3Cumulative Frequency2 marks
Four classes in order have frequencies 7, 7, 9, 4. Write down the cumulative frequency at the end of the third class.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.777... as a fraction in its simplest form.
- 5Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 4/x, work out y when x = 1, and write down the equation of its vertical asymptote.
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