Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Enlarging with Negative Scale Factors3 marks
The point (5, -1) is enlarged by scale factor -3 about the centre (-1, -2). Write down the coordinates of the image.
- 2Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 12 in B only, 6 in both and 10 in neither. Work out the probability a random one is in both.
- 3Capture Recapture3 marks
50 voles are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
- 4The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5Parallel and Perpendicular Lines3 marks
A line has equation y = -5x + 7. Work out the gradient of any line perpendicular to it.
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