Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
30th June 2006
- 1Parallel and Perpendicular Lines3 marks
A line has equation y = -3x + 5. Work out the gradient of any line perpendicular to it.
- 2Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 4, y = 20. Work out y when x = 8.
- 3Enlarging with Negative Scale Factors3 marks
The point (5, 4) is enlarged by scale factor -2 about the centre (-4, 3). Write down the coordinates of the image.
- 4Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 5 in B only, 6 in both and 3 in neither. Work out the probability a random one is in both.
- 5Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
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