Daily Practice

Higher

4th September 1956

5 questions · 13 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, 14 are in A only, 16 in B only, 5 in both and 10 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
10 newts are marked and released. Later 36 are caught, of which 4 are marked. Estimate the population.
4
Fractional and Negative Indices2 marks
Write 9^-3 as a fraction.
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 1)(x + 1)(x - 1).

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