Daily Practice · Higher

Daily Practice - Higher

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

24th March 2026

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

1
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. Write y in terms of x.
2
Congruent Triangles2 marks
Two triangles are known to be congruent because two pairs of angles and a matching side are equal. Which congruence condition is this?
3
Conditional Probability3 marks
17 students study Spanish and 12 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
4
Capture Recapture3 marks
55 beetles are marked and released. Later 28 are caught, of which 4 are marked. Estimate the population.
5
Surds2 marks
Write sqrt(32) in the form a sqrt(b), where b is as small as possible.

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