Daily Practice - Higher
Grades 6-7 - Higher-tier method and manipulation.
17th November 2006
- 1Pythagoras2 marks
A right-angled triangle has a hypotenuse of 25 cm and one shorter side of 24 cm. Work out the other shorter side.
- 2Venn Diagrams3 marks
In a Venn diagram, 7 are in A only, 16 in B only, 11 in both and 3 in neither. Work out the probability a random one is in both.
- 3Capture Recapture2 marks
A capture-recapture estimate is made of the ladybird population of a garden. State one assumption the method relies on.
- 4The Product Rule for Counting2 marks
A meal deal has 7 mains, 3 sides and 3 drinks. How many different meals are possible?
- 5Expanding Triple Brackets3 marks
Expand and simplify (x - 2)(x + 5)(x - 2).
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