Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
3rd December 2022
- 1Parallel and Perpendicular Lines3 marks
A line has equation y = 2x + 1. 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 = 5, y = 125. Work out y when x = 3.
- 3Enlarging with Negative Scale Factors3 marks
The point (0, 0) is enlarged by scale factor -2 about the centre (2, 0). Write down the coordinates of the image.
- 4Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 17 in B only, 5 in both and 7 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has minimum 5, lower quartile 15, median 18, upper quartile 26 and maximum 35. Work out the interquartile range.
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