Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
2nd April 2016
- 1Expanding Triple Brackets3 marks
Expand and simplify (x + 4)(x - 3)(x - 2).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 2.
- 3Pythagoras2 marks
A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 4Venn Diagrams3 marks
In a Venn diagram, 3 are in A only, 12 in B only, 7 in both and 1 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has minimum 14, lower quartile 23, median 29, upper quartile 37 and maximum 44. Work out the interquartile range.
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