Daily Practice · Higher

Daily Practice - Higher

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

13th March 2026

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 9 in B only, 11 in both and 8 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
4
Surds2 marks
Write sqrt(8) in the form a sqrt(b), where b is as small as possible.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x + 3)(x + 2).

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