Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
23rd July 2010
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 5 cm and one shorter side of 3 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 6 are in A only, 10 in B only, 9 in both and 8 in neither. Work out the probability a random one is in both.
- 3Capture Recapture2 marks
A capture-recapture estimate is made of the moth population of a meadow. State one assumption the method relies on.
- 4Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.7979... as a fraction in its simplest form.
- 5Expanding Triple Brackets3 marks
Expand and simplify (x + 3)(x - 4)(x - 4).
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