Daily Practice · Higher

Daily Practice - Higher

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

31st October 2023

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

1
Pythagoras2 marks
A right-angled triangle has a hypotenuse of 29 cm and one shorter side of 20 cm. Work out the other shorter side.
2
Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 18 in B only, 4 in both and 2 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
35 voles are marked and released. Later 66 are caught, of which 6 are marked. Estimate the population.
4
Fractional and Negative Indices3 marks
Work out 27^(2/3).
5
Expanding Triple Brackets3 marks
Expand and simplify (x - 2)(x + 1)(x - 4).

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