Daily Practice · Higher

Daily Practice - Higher

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

21st July 2026

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

1
Inequalities on Graphs2 marks
A region is defined by y < -x + 7. Should the boundary line be solid or dashed, and why?
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 9. Write y in terms of x.
3
Spheres and Cones3 marks
A cone has base radius 10 cm and vertical height 24 cm. Work out its volume, leaving your answer in terms of pi.
4
Probability Trees3 marks
A bag holds 6 red and 6 blue counters. Two are taken without replacement. Work out the probability both are red.
5
Capture Recapture3 marks
30 beetles are marked and released. Later 96 are caught, of which 8 are marked. Estimate the population.

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