Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Parallel and Perpendicular Lines3 marks
A line has equation y = -3x + 7. Work out the gradient of any line perpendicular to it.
- 2Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 4, y = 48. Work out y when x = 12.
- 3Enlarging with Negative Scale Factors3 marks
The point (4, 6) is enlarged by scale factor -2 about the centre (0, -3). Write down the coordinates of the image.
- 4Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 13 in B only, 11 in both and 4 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has a minimum of 6 and a maximum of 37. Work out the range.
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