Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
9th September 1997
- 1Parallel and Perpendicular Lines3 marks
A line has equation y = -4x + 9. Work out the gradient of any line perpendicular to it.
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 8. Write y in terms of x.
- 3Enlarging with Negative Scale Factors3 marks
The point (-1, 5) is enlarged by scale factor -2 about the centre (0, -4). Write down the coordinates of the image.
- 4Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 6 in B only, 11 in both and 4 in neither. Work out the probability a random one is in both.
- 5Capture Recapture3 marks
45 newts are marked and released. Later 12 are caught, of which 3 are marked. Estimate the population.
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