Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
25th January 2003
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 9 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 16 are in A only, 18 in B only, 11 in both and 6 in neither. Work out the probability a random one is in both.
- 3Box Plots2 marks
A box plot has minimum 9, lower quartile 12, median 16, upper quartile 19 and maximum 27. Work out the interquartile range.
- 4Surds2 marks
Write sqrt(75) in the form a sqrt(b), where b is as small as possible.
- 5Expanding Triple Brackets3 marks
Expand and simplify (x - 1)(x + 5)(x + 2).
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