Daily Practice · Higher

Daily Practice - Higher

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

24th June 2025

5 questions · 12 marks · Grades 6-7 · 61 question types in this band

1
Capture Recapture3 marks
20 fish are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
2
Standard Form2 marks
Work out (8 x 10^3) x (7 x 10^-2). Give your answer in standard form.
3
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = 110/x, work out y when x = -10, and write down the equation of its vertical asymptote.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 7 : 9. Write y in terms of x.
5
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 2. The larger has a volume of 208 cm^3. Work out the volume of the smaller.

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