Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
- 1Expanding Triple Brackets3 marks
Expand and simplify (x + 4)(x + 3)(x - 3).
- 2Writing a Ratio as a Fraction or Linear Function2 marks
x : y = 4 : 5. Write y in terms of x.
- 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, 13 are in A only, 8 in B only, 5 in both and 9 in neither. Work out the probability a random one is in both.
- 5Capture Recapture3 marks
10 fish are marked and released. Later 48 are caught, of which 6 are marked. Estimate the population.
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Every sheet is deterministic: the same date always regenerates the same five questions. All of June 2009, including the monthly compilation PDF.