Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Sine Rule3 marks
In triangle ABC, angle A is 54°, angle B is 70° and side a is 8 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 18 are in A only, 13 in B only, 7 in both and 3 in neither. Work out the probability a random one is in both.
- 3Histograms2 marks
A histogram class is 10 units wide and contains 40 values. Work out the frequency density.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.6363... as a fraction in its simplest form.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 8x + 12.
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