Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Sine Rule3 marks
In triangle ABC, angle A is 60°, angle B is 63° and side a is 18 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 9 are in A only, 8 in B only, 12 in both and 7 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 12, lower quartile 22, median 24, upper quartile 32 and maximum 38. Work out the interquartile range.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.777... as a fraction in its simplest form.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 - 3x - 10.
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