Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
6th March 2012
- 1Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x - 5)(x + 4).
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 7. Write y in terms of x.
- 3Pythagoras2 marks
A right-angled triangle has a hypotenuse of 20 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, 15 in B only, 8 in both and 9 in neither. Work out the probability a random one is in both.
- 5Capture Recapture3 marks
60 beetles are marked and released. Later 56 are caught, of which 8 are marked. Estimate the population.
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