Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
10th February 2009
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 9 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 6 in B only, 4 in both and 3 in neither. Work out the probability a random one is in both.
- 3Capture Recapture3 marks
10 newts are marked and released. Later 20 are caught, of which 5 are marked. Estimate the population.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.5959... as a fraction in its simplest form.
- 5Expanding Triple Brackets3 marks
Expand and simplify (x - 4)(x + 2)(x - 2).
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