Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
13th October 2008
- 1The Sine Rule3 marks
In triangle ABC, angle A is 64°, angle B is 84° and side a is 17 cm. Use the sine rule to work out side b, to 1 decimal place.
- 2Venn Diagrams3 marks
In a Venn diagram, 8 are in A only, 18 in B only, 5 in both and 3 in neither. Work out the probability a random one is in both.
- 3Cumulative Frequency2 marks
A cumulative frequency graph is drawn for 52 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 4The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 + 4x + 3.
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