Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
5th November 2022
- 1The Sine Rule3 marks
In triangle ABC, angle A is 80°, angle B is 37° 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, 15 are in A only, 12 in B only, 10 in both and 2 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 11, lower quartile 15, median 20, upper quartile 24 and maximum 26. Work out the interquartile range.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.8080... as a fraction in its simplest form.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 - 14x + 45.
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