Given 1989 consecutive numbers from 1 to 1989. Put a "+" or "-" before each number than plus those number we get A. Find the smallest possible positive integer that A can get.

 What is the least positive integer that has a remainder of 0 when divided by 3, a remainder of 1 when divided by 4, and a remainder of 3 when divided by 7? 

When water freezes, its volume is increased by one-eleventh. In other words, the volume of ice equals the sum of the volume of the original amount of water and the product of one-eleventh and the volume of the water. If 979 cubic centimeters of water is to be frozen, what will be the volume of the ice that will be formed? 

 You have a supply of boxes of volumes 1, 3, 9, 27 and 81 cubic meters. Given that the boxes must be filled completely, what is the least number of boxes that will hold exactly 300 cubic meters of sand? 

 The product of three different positive integers is 2010. What is the maximum possible sum of the three integers?  

What is the units digit of the product (3\(^{75}\))(2\(^{113}\))?

Manny can mow his one-acre yard in 1.5 hours on his riding lawn mower. Timmy takes five times as long to mow Manny's yard with his push mower. How many minutes will it take them working together?  

On a number line, what is the positive difference between the two numbers that are the trisection points of the line segment with endpoints at 1/8 and 3/4 ? Express your answer as a common fraction.

 A chevron is inscribed in a square of side 12 yards where point X is at the center of the square and the upper corners of the chevron touch the upper corners of the square. What is the area of the chevron? 

What term is the smallest five-digit palindrome in the arithmetic sequence 2, 7, 12, 17, … ?  

 At the school store pencils and pens have different prices. Six pencils and four pens cost $4.30. However, four pencils and six pens cost $5.20. What is the cost of five pencils and five pens? 

Eight students met for the first time at a MATHCOUNTS competition. Every one of them exchanged cell phone numbers with each of the other seven students, and they all entered the phone numbers into their phones. How many times were cell phone numbers entered into phones among the group of 8 students?

 Triangle ABC has vertices with coordinates (1, 0), (5, 0), and (3, 7). Kadim accidentally switched the x- and y-coordinates of every single vertex when calculating the area of the triangle. What is the percent of change between the area of the original triangle ABC and the area of the new triangle Kadim made?

From the set of digits {1, 2, 3, 4, 5} three-digit, positive integers are formed, none of which has repeating digits. How many such odd integers can be made?

What is the value of 1011\(_3\) expressed as a numeral in base 2?

If a + 2b = 11 and a – b = -4, what is the value of 4a – b? 

 What is the degree measure of the only angle that is congruent to its complement?

 A fair coin is to be flipped 5 times. What is the probability that the result will not be 5 heads in a row? Express your answer as a common fraction. 

Susan reads at a rate of 240 words per minute. How many hours will it take her to read a 480-page book that averages 600 words per page? 

 Each term of a sequence, after the first term, is three less than the square of the preceding term. If the first term of the sequence is 2, what is the 2011th term?