Daily Practice · Higher

Daily Practice - Higher

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

4th March 2025

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

1
Drawing Other Graphs: Cubic/Reciprocal2 marks
For the curve y = -5/x, work out y when x = 1, and write down the equation of its vertical asymptote.
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. Write y in terms of x.
3
Similar Shapes (Area and Volume)3 marks
Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 1728 cm^3. Work out the volume of the smaller.
4
Probability Trees3 marks
A bag holds 3 red and 9 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Capture Recapture3 marks
50 fish are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.

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