Daily Practice

Higher

1st December 1953

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 16 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 5 in B only, 5 in both and 3 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
30 voles are marked and released. Later 40 are caught, of which 8 are marked. Estimate the population.
4
Surds2 marks
Write sqrt(48) in the form a sqrt(b), where b is as small as possible.
5
Expanding Triple Brackets3 marks
Expand and simplify (x + 4)(x - 5)(x + 4).

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