Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
10th August 2002
- 1The Sine Rule3 marks
In triangle ABC, angle A is 76°, angle B is 68° and side a is 6 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 17 are in A only, 5 in B only, 5 in both and 8 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 8, lower quartile 17, median 24, upper quartile 26 and maximum 34. Work out the interquartile range.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.5757... as a fraction in its simplest form.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 5x - 6.
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