Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Parallel and Perpendicular Lines3 marks
A line has equation y = -5x + 6. Work out the gradient of any line perpendicular to it.
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 5. Write y in terms of x.
- 3Enlarging with Negative Scale Factors3 marks
The point (3, -4) is enlarged by scale factor -2 about the centre (-2, 1). Write down the coordinates of the image.
- 4Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 14 in B only, 2 in both and 4 in neither. Work out the probability a random one is in both.
- 5Capture Recapture3 marks
10 newts are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
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