Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
12th November 2007
- 1The Sine Rule3 marks
In triangle ABC, angle A is 77°, angle B is 47° and side a is 20 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 14 in B only, 8 in both and 5 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 160 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4Reverse Percentages3 marks
A bill is £408 including VAT at 20%. Work out the amount before VAT.
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 9x + 8.
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