Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Sine Rule3 marks
In triangle ABC, angle A is 47°, angle B is 34° and side a is 12 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 13 in B only, 7 in both and 8 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 15, lower quartile 23, median 28, upper quartile 33 and maximum 36. Work out the interquartile range.
- 4Standard Form3 marks
Work out (63 x 10^9) / (9 x 10^3). Give your answer in standard form.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 12x + 27.
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