Daily Practice · Higher

Daily Practice - Higher

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

4th October 2022

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

1
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 6x - 7.
2
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 3. Write y in terms of x.
3
The Sine Rule3 marks
In triangle ABC, angle A is 44°, angle B is 60° and side a is 14 cm. Use the sine rule to work out side b, to 1 decimal place.
4
Venn Diagrams3 marks
In a Venn diagram, 14 are in A only, 9 in B only, 10 in both and 1 in neither. Work out the probability a random one is in both.
5
Capture Recapture3 marks
60 newts are marked and released. Later 24 are caught, of which 2 are marked. Estimate the population.

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