Daily Practice · Higher

Daily Practice - Higher

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

4th March 2014

5 questions · 15 marks · Grades 6-7 · 61 question types in this band

1
The Sine Rule3 marks
In triangle ABC, angle A is 31°, angle B is 98° and side a is 7 cm. Use the sine rule to work out side b, to 1 decimal place.
2
Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 17 in B only, 5 in both and 9 in neither. Work out the probability a random one is in both.
3
Capture Recapture3 marks
55 beetles are marked and released. Later 15 are caught, of which 3 are marked. Estimate the population.
4
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.2626... as a fraction in its simplest form.
5
Expanding and Factorising Quadratics3 marks
Factorise x^2 + 4x - 32.

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