Daily Practice · Higher

Daily Practice - Higher

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

5th August 2025

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture3 marks
55 fish are marked and released. Later 90 are caught, of which 9 are marked. Estimate the population.
2
Surds2 marks
Write sqrt(12) in the form a sqrt(b), where b is as small as possible.
3
Parallel and Perpendicular Lines3 marks
A line has equation y = -2x + 3. Work out the gradient of any line perpendicular to it.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 5. Write y in terms of x.
5
Enlarging with Negative Scale Factors3 marks
The point (2, 2) is enlarged by scale factor -2 about the centre (0, -3). Write down the coordinates of the image.

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