Daily Practice · Higher

Daily Practice - Higher

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

21st March 2023

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

1
Expanding Triple Brackets3 marks
Expand and simplify (x + 4)(x - 5)(x + 3).
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 3 : 7. Write y in terms of x.
3
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.
4
Venn Diagrams3 marks
In a Venn diagram, 4 are in A only, 9 in B only, 12 in both and 8 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
35 voles are marked and released. Later 27 are caught, of which 3 are marked. Estimate the population.

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