Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
7th October 2023
- 1The Sine Rule3 marks
In triangle ABC, angle A is 70°, angle B is 34° and side a is 8 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, 15 in B only, 4 in both and 10 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 5, lower quartile 15, median 25, upper quartile 27 and maximum 36. Work out the interquartile range.
- 4Reverse Percentages3 marks
A bill is £960 including VAT at 20%. Work out the amount before VAT.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 - 13x + 42.
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