Daily Practice · Higher

Daily Practice - Higher

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

11th April 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 26 cm and one shorter side of 24 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 13 in B only, 2 in both and 7 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
4
Fractional and Negative Indices3 marks
Work out 81^(3/2).
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 2)(x - 4)(x - 4).

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