Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Expanding Triple Brackets3 marks
Expand and simplify (x - 1)(x + 5)(x - 1).
- 2Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 3, y = 15. Work out y when x = 5.
- 3Pythagoras2 marks
A right-angled triangle has a hypotenuse of 15 cm and one shorter side of 12 cm. Work out the other shorter side.
- 4Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 8 in B only, 6 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 7 and a maximum of 28. Work out the range.
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