Daily Practice

Higher

13th May 1955

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 15 in B only, 5 in both and 3 in neither. Work out the probability a random one is in both.
3
Capture Recapture2 marks
A capture-recapture estimate is made of the snail population of a hedgerow. State one assumption the method relies on.
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 - 4)(x - 2)(x - 4).

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