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1. If x and y are both intergers, and xy (not equal) 0, which of the following MUST be true of IxyI ?
It is greater than zero
It is less than zero
It is an even number
It is an odd number
It is a prime number
2. Which of the following points lies the greatest distance from the origin in the xy coordinate system?
-3/2,-3/2
-1,-1
-1/2,0
0,1
2,-1/2
3. If one worker can pack 15 boxes every two minutes, and another can pack 15 boxes every three minutes, how many minutes will it take these two workers, working together, to pack 300 boxes?
10
12
15
24
30
4. If the remainder when x is divided by 5 equals the remainder when x is divided by 4, then x could be any of the following EXCEPT
20
21
22
23
24
5. IF x > 0 and (3 - square root of x) (3 + square root of x) equals 7, what is the value of x?
4
3
2
1
0
6. The product of intergers x and y is divisible by 36. If x is divisible by 6, which of the following must be true?
I. y is divisible by x.
II. y is divisible by 6
III. y/6 is divisible by 6.
None
I only
II only
I and III only
II and III only
7. There were 320 students at a school assembly attended only by juniors and seniors. If there were 60 more juniors than seniors and if there were 30 more female juniors than male juniors, how many male juniors were at the assembly?
8. A rectangle of width 5 has a diagonal of length 13. What is the perimeter of the rectangle?
9. Jenny's average (arithmetic mean) score for six tests was 92. If the sum of the scores of two of her tests was 188, then what was her average score for the other four tests?
10. If Alexandra pays $56.65 for a table, and this amount includes a tax of 3% on the price of the table, what is the amount, in dollars, that she pays in tax? (Ignore the dollar sign when gridding your answer)
11. Tiles numbered 1 through 25 are palced in a bag. If one tile is removed at random. What is the probability that the number on the tile is a prime number?
12. Alan and Ben each run at a constant rate of 7.5 miles per hour. Carla runs at a constant rate of 10 miles per hour. Debby runs at a constant rate of 12 miles per hour. In a relay race with these four runners as a team running one right after the other, Alan runs 0.3 miles, then Ben runs 0.3 miles, then Carla runs 0.5 miles, then Debby runs 0.24 miles. What is the team's average speed in miles per hour?
13. If the distance from (2,6) to (1,b) is a , a equals ( I-1I + 16) ^1/2, and b < a, what is the value of b?