Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
12th June 2004
- 1The Sine Rule3 marks
In triangle ABC, angle A is 75°, angle B is 75° and side a is 12 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, 5 in B only, 12 in both and 5 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 8, lower quartile 13, median 17, upper quartile 19 and maximum 27. Work out the interquartile range.
- 4The Product Rule for Counting3 marks
A code is 2 letters (A to Z) followed by 4 digits (0 to 9), and repeats are allowed. How many codes are possible?
- 5Expanding and Factorising Quadratics3 marks
Factorise x^2 - 5x + 4.
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