Daily Practice · Higher

Daily Practice - Higher

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

14th June 2022

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

1
The Sine Rule3 marks
In triangle ABC, angle A is 75°, angle B is 74° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 15 in B only, 8 in both and 5 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
20 beetles are marked and released. Later 27 are caught, of which 9 are marked. Estimate the population.
4
Fractional and Negative Indices2 marks
Write 2^-2 as a fraction.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 9x + 14.

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