Problems
1. What are the possible dimensions of a rectangle with integer-valued side lengths in which the numerical value of the area is twice the perimeter?
2. In celebration of her birthday, Claudine threw a big party. Every two persons shared a bowl of rice, every three persons shared a bowl of fruit salad, and every four persons shared a bowl of soup. There were 130 bowl used together. How many guests were present ?
3. Calculate:
4. The pages of the Math Book are numbered consecutively, starting with page 1. The book is bound in ten booklets, with equal number of pages in each booklet. If the sum of the numbers on the first page of every booklet is 4150, how many pages does each booklet have?
5. Angela is fond of making a wish everytime her car’s odometer displays a number read the same forward and backward (palyndrome). At 10:18 am the odometer read 87978 km. Traveling continuosly the odometer displayed the next possible number that in palyndrome at 11:13 am. During this time, what was the car’s average speed in kilometers per hours ?
6. Eight of the angles of an undecagon have measures whose sum is 1380˚. Of the remaining three angles, two are complementary to each other and two are supplementary to each other. Find the measure of the largest of these three angles.
7. What is the sum of the numbers less than 200 that has exactly 3 divisors?
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