Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Expanding Triple Brackets3 marks
Expand and simplify (x - 3)(x + 4)(x - 4).
- 2Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 108. Work out y when x = 8.
- 3Pythagoras2 marks
A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the other shorter side.
- 4Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 9 in B only, 4 in both and 5 in neither. Work out the probability a random one is in both.
- 5Box Plots2 marks
A box plot has minimum 10, lower quartile 17, median 25, upper quartile 32 and maximum 36. Work out the interquartile range.
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