Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

24th October 2025

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

1
Parallel and Perpendicular Lines3 marks
A line has equation y = -5x + 5. Work out the gradient of any line perpendicular to it.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 3, y = 18. Work out y when x = 5.
3
Enlarging with Negative Scale Factors3 marks
The point (5, 6) is enlarged by scale factor -2 about the centre (-2, -4). Write down the coordinates of the image.
4
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 15 in B only, 7 in both and 10 in neither. Work out the probability a random one is in both.
5
Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.

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