Daily Practice · Higher

Daily Practice - Higher

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

2nd September 2025

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 4 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 11 are in A only, 8 in B only, 12 in both and 1 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
50 newts are marked and released. Later 30 are caught, of which 3 are marked. Estimate the population.
4
The Product Rule for Counting2 marks
A meal deal has 5 mains, 7 sides and 2 drinks. How many different meals are possible?
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 3)(x - 5)(x + 3).

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