Daily Practice · Higher

Daily Practice - Higher

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

28th September 2011

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 5 in B only, 9 in both and 5 in neither. Work out the probability a random one is in both.
3
Cumulative Frequency2 marks
Four classes in order have frequencies 3, 4, 12, 6. Write down the cumulative frequency at the end of the third class.
4
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 3)(x + 2)(x + 4).

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