Daily Practice

Higher

1st July 1983

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Parallel and Perpendicular Lines3 marks
A line has equation y = 4x + 4. Work out the gradient of any line perpendicular to it.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 5, y = 55. Work out y when x = 8.
3
Enlarging with Negative Scale Factors3 marks
The point (1, 0) is enlarged by scale factor -3 about the centre (-3, -3). Write down the coordinates of the image.
4
Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 13 in B only, 3 in both and 5 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.

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