Daily Practice · Higher

Daily Practice - Higher

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

1st October 2024

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 8 in B only, 4 in both and 10 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
15 voles are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 4)(x + 3)(x + 2).

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