Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
12th July 2022
- 1Parallel and Perpendicular Lines3 marks
A line has equation y = 5x + 3. Work out the gradient of any line perpendicular to it.
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 7 : 9. Write y in terms of x.
- 3Enlarging with Negative Scale Factors3 marks
The point (-2, 1) is enlarged by scale factor -3 about the centre (2, -1). Write down the coordinates of the image.
- 4Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 9 in B only, 4 in both and 7 in neither. Work out the probability a random one is in both.
- 5Capture Recapture3 marks
35 newts are marked and released. Later 22 are caught, of which 2 are marked. Estimate the population.
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