Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
29th January 2016
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 20 cm and one shorter side of 12 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 13 are in A only, 4 in B only, 11 in both and 10 in neither. Work out the probability a random one is in both.
- 3Capture Recapture2 marks
A capture-recapture estimate is made of the beetle population of a woodland. State one assumption the method relies on.
- 4Surds2 marks
Write sqrt(27) in the form a sqrt(b), where b is as small as possible.
- 5Expanding Triple Brackets3 marks
Expand and simplify (x + 5)(x + 4)(x - 1).
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