Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
23rd January 2001
- 1Enlarging with Negative Scale Factors3 marks
The point (5, -5) is enlarged by scale factor -2 about the centre (3, 3). Write down the coordinates of the image.
- 2Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 3 in B only, 5 in both and 5 in neither. Work out the probability a random one is in both.
- 3Capture Recapture3 marks
10 fish are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
- 4Fractional and Negative Indices3 marks
Work out 64^(2/3).
- 5Parallel and Perpendicular Lines3 marks
A line has equation y = -4x + 7. Work out the gradient of any line perpendicular to it.
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