Daily Practice · Higher

Daily Practice - Higher

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

17th March 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
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 4. Write y in terms of x.
3
Enlarging with Negative Scale Factors3 marks
The point (-1, 2) is enlarged by scale factor -3 about the centre (0, -2). Write down the coordinates of the image.
4
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 14 in B only, 5 in both and 6 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
10 voles are marked and released. Later 90 are caught, of which 9 are marked. Estimate the population.

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