Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
4th December 2021
- 1The Sine Rule3 marks
In triangle ABC, angle A is 62°, angle B is 46° and side a is 11 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 15 in B only, 9 in both and 2 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 3, lower quartile 9, median 15, upper quartile 25 and maximum 34. Work out the interquartile range.
- 4Standard Form2 marks
Work out (7 x 10^4) x (6 x 10^5). Give your answer in standard form.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 4x + 3.
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