Daily Practice

Higher

24th January 1978

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

1
Enlarging with Negative Scale Factors3 marks
The point (5, 0) is enlarged by scale factor -1 about the centre (-2, -1). Write down the coordinates of the image.
2
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 15 in B only, 2 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
20 newts are marked and released. Later 88 are caught, of which 8 are marked. Estimate the population.
4
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 4 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 + 9. Work out the gradient of any line perpendicular to it.

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