Daily Practice · Higher

Daily Practice - Higher

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

23rd December 2025

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x + 5)(x - 4).
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 5. Write y in terms of x.
3
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 10 cm and one shorter side of 6 cm. Work out the other shorter side.
4
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 17 in B only, 7 in both and 2 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
45 voles are marked and released. Later 72 are caught, of which 8 are marked. Estimate the population.

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