Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
21st February 2015
- 1Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 72 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.
- 3Box Plots2 marks
A box plot has minimum 10, lower quartile 14, median 19, upper quartile 27 and maximum 33. Work out the interquartile range.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.666... as a fraction in its simplest form.
- 5Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -10/x, work out y when x = 5, and write down the equation of its vertical asymptote.
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