Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
25th November 2003
- 1Expanding Triple Brackets3 marks
Expand and simplify (x + 1)(x - 4)(x - 1).
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 5 : 9. Write y in terms of x.
- 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, 17 are in A only, 6 in B only, 5 in both and 3 in neither. Work out the probability a random one is in both.
- 5Capture Recapture3 marks
60 fish are marked and released. Later 84 are caught, of which 7 are marked. Estimate the population.
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