1. Every whole number larger than the number 1 has at least
2 factors : the number itself and the number 1. Find the sum of all the factors
of 33.
2. In the diagram, a circle of radius 6 is internally
tangent at P to a circle of radius 8. PQ is a diameter of the larger circle, QR
is tangent to the smaller circle, and OR is a radius of the smaller circle. Find
the area of the triangle OQR.
3. A bicycle wheel covers a distance of 45 metres when it
makes 25 revolutions. How many revolutions are needed to cover a distance of 99
metres?
4. In a certain sequence, a1 < 0, a2 > 0, and a3
> 0.
For n > 2 , an = an-1 + an-2
.
Two consecutive terms of the sequence have values of 29 and
47.
Find the value of a1 + a2 + a3 .
5. Nick received a sum of money as a present for his 13-th
birthday. 2/5 of that sum was spent on computer games, 1/2 of the remainder was
spent on healthy snacks, and the rest was saved. Nick spent 11 dollars more on
computer games than he spent on snacks. How much money (in dollars) did he
save?
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