Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
12th February 2000
- 1Box Plots2 marks
A box plot has minimum 9, lower quartile 13, median 19, upper quartile 21 and maximum 27. Work out the interquartile range.
- 2Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 3Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -16/x, work out y when x = -4, and write down the equation of its vertical asymptote.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 2.
- 5Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 128 cm^3. Work out the volume of the smaller.
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