Daily Practice - Higher
14th December 1996
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 324. Work out y when x = 8.
- 2Similar Shapes (Area and Volume)3 marks
Two similar shapes have lengths in the ratio 1 : 3. The smaller has an area of 19 cm^2. Work out the area of the larger.
- 3Conditional Probability3 marks
10 students study Spanish and 5 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 4Box Plots2 marks
A box plot has minimum 5, lower quartile 10, median 17, upper quartile 27 and maximum 37. Work out the interquartile range.
- 5Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
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Any date always gives the same five questions, so a sheet can be set again or shared. All of December 1996, including the monthly compilation PDF.