Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
14th February 2009
- 1Parallel and Perpendicular Lines3 marks
A line has equation y = -5x + 2. Work out the gradient of any line perpendicular to it.
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 27. Work out y when x = 2.
- 3Enlarging with Negative Scale Factors3 marks
The point (4, -2) is enlarged by scale factor -2 about the centre (-1, 4). Write down the coordinates of the image.
- 4Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 18 in B only, 12 in both and 2 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has minimum 6, lower quartile 15, median 21, upper quartile 25 and maximum 32. Work out the interquartile range.
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