Daily Practice · Higher

Daily Practice - Higher

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

19th August 2025

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

1
Inequalities on Graphs2 marks
A region is defined by y <= -4x + 5. Should the boundary line be solid or dashed, and why?
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 8. Write y in terms of x.
3
Spheres and Cones3 marks
A cone has base radius 9 cm and vertical height 18 cm. Work out its volume, leaving your answer in terms of pi.
4
Probability Trees3 marks
A bag holds 4 red and 8 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Capture Recapture3 marks
35 newts are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.

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