Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
15th September 2005
- 1Parallel and Perpendicular Lines3 marks
A line has equation y = 3x + 3. Work out the gradient of any line perpendicular to it.
- 2Repeated Percentage Change3 marks
A town's population is 31000 and grows by 5% each year. Work out the population after 6 years, to the nearest whole number.
- 3Enlarging with Negative Scale Factors3 marks
The point (1, 6) is enlarged by scale factor -1 about the centre (-4, 1). Write down the coordinates of the image.
- 4Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 8 in B only, 2 in both and 5 in neither. Work out the probability a random one is in both.
- 5Histograms2 marks
A histogram class is 20 units wide and contains 60 values. Work out the frequency density.
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