Daily Practice · Higher

Daily Practice - Higher

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

25th September 2026

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 + 6. Work out the gradient of any line perpendicular to it.
2
Direct and Inverse Proportion3 marks
y is directly proportional to x. When x = 2, y = 6. Work out y when x = 5.
3
Enlarging with Negative Scale Factors3 marks
The point (6, -2) is enlarged by scale factor -2 about the centre (3, -3). Write down the coordinates of the image.
4
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 10 in B only, 11 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 newt population of a stream. State one assumption the method relies on.

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