Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
4th November 2007
- 1Expanding Triple Brackets3 marks
Expand and simplify (x - 1)(x + 3)(x + 3).
- 2Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 7, y = 24. Work out y when x = 4.
- 3Pythagoras2 marks
A right-angled triangle has a hypotenuse of 17 cm and one shorter side of 15 cm. Work out the other shorter side.
- 4Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 9 in B only, 9 in both and 1 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has a minimum of 6 and a maximum of 51. Work out the range.
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