Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
25th April 2009
- 1Box Plots2 marks
A box plot has minimum 7, lower quartile 15, median 20, upper quartile 24 and maximum 31. Work out the interquartile range.
- 2Fractional and Negative Indices3 marks
Work out 100^(3/2).
- 3Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -10/x, work out y when x = -1, and write down the equation of its vertical asymptote.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 32. Work out y when x = 7.
- 5Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 3. The larger has a volume of 702 cm^3. Work out the volume of the smaller.
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