Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1The Sine Rule3 marks
In triangle ABC, angle A is 75°, angle B is 72° 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, 17 are in A only, 16 in B only, 6 in both and 8 in neither. Work out the probability a random one is in both.
- 3Histograms2 marks
A histogram class is 2 units wide and contains 4 values. Work out the frequency density.
- 4The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 3 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 - 2x - 8.
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