Daily Practice · Higher

Daily Practice - Higher

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

24th January 2023

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

1
Capture Recapture3 marks
50 voles are marked and released. Later 30 are caught, of which 6 are marked. Estimate the population.
2
Surds2 marks
Write sqrt(72) in the form a sqrt(b), where b is as small as possible.
3
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 5x + 4.
4
Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 2 : 7. Write y in terms of x.
5
The Sine Rule3 marks
In triangle ABC, angle A is 38°, angle B is 48° and side a is 10 cm. Use the sine rule to work out side b, to 1 decimal place.

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