Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Sine Rule3 marks
In triangle ABC, angle A is 42°, angle B is 92° and side a is 13 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 10 are in A only, 17 in B only, 2 in both and 4 in neither. Work out the probability a random one is in both.
- 3Capture Recapture2 marks
A capture-recapture estimate is made of the newt population of a stream. State one assumption the method relies on.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.9191... as a fraction in its simplest form.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 2x - 48.
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