Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
8th August 2009
- 1Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out y when x = 3.
- 2Sector Areas and Arc Lengths3 marks
A sector of a circle has radius 7 cm and angle 180°. Work out its area, to 1 decimal place.
- 3Conditional Probability3 marks
32 students study Spanish and 12 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 3, lower quartile 9, median 19, upper quartile 22 and maximum 30. Work out the interquartile range.
- 5Surds2 marks
Write sqrt(20) in the form a sqrt(b), where b is as small as possible.
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