Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
10th August 2021
- 1Parallel and Perpendicular Lines3 marks
A line has equation y = -3x + 2. Work out the gradient of any line perpendicular to it.
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 9. Write y in terms of x.
- 3Enlarging with Negative Scale Factors3 marks
The point (-1, -5) is enlarged by scale factor -1 about the centre (1, 1). Write down the coordinates of the image.
- 4Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 12 in B only, 5 in both and 2 in neither. Work out the probability a random one is in both.
- 5Capture Recapture3 marks
25 fish are marked and released. Later 81 are caught, of which 9 are marked. Estimate the population.
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