Daily Practice - Higher
13th June 1992
- 1Drawing 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.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 64. Work out y when x = 3.
- 3Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 160 cm^3. Work out the volume of the smaller.
- 4Probability Trees3 marks
A bag holds 6 red and 3 blue counters. Two are taken without replacement. Work out the probability both are red.
- 5Box Plots2 marks
A box plot has minimum 3, lower quartile 9, median 13, upper quartile 22 and maximum 32. Work out the interquartile range.
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