Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
4th September 2001
- 1Capture Recapture3 marks
15 beetles are marked and released. Later 32 are caught, of which 4 are marked. Estimate the population.
- 2The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 3Parallel and Perpendicular Lines3 marks
A line has equation y = -2x + 5. Work out the gradient of any line perpendicular to it.
- 4Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 7 : 9. Write y in terms of x.
- 5Enlarging with Negative Scale Factors3 marks
The point (1, 3) is enlarged by scale factor -2 about the centre (2, -2). Write down the coordinates of the image.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of September 2001, including the monthly compilation PDF.