Daily Practice

Higher

30th December 1952

5 questions · 14 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 10 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 18 in B only, 9 in both and 4 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
50 fish are marked and released. Later 90 are caught, of which 9 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 100^(3/2).
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 5)(x + 5)(x - 1).

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