Daily Practice

Higher

8th March 1988

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
Enlarging with Negative Scale Factors3 marks
The point (1, 2) is enlarged by scale factor -1 about the centre (2, 0). Write down the coordinates of the image.
2
Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 7 in B only, 10 in both and 10 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
15 beetles are marked and released. Later 30 are caught, of which 5 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
5
Parallel 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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