Daily Practice · Higher

Daily Practice - Higher

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

5th August 2003

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 8 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 18 in B only, 10 in both and 6 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
60 voles are marked and released. Later 14 are caught, of which 2 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 36^(3/2).
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 1)(x - 3)(x - 1).

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