If a team played g games and won w of them, what fraction of the games played did the team lose?
(A) (w-g)/w
(B) (w-g)/g
(C) (g-w)/g
(D) g/(g-w)
(E) (g-w)/w
What is (C) (g-w)/g?
100
The average of four numbers is 25. If one of the numbers is removed, the average of the remaining numbers is 20. What number was removed?
(A) 10
(B) 15
(C) 30
(D) 35
(E) 40
What is (E) 40?
100
If 1/3 of a number is 4 less than 1/2 of the number, the number is
If the vertex angle of an isosceles triangle has a measure of 36, the measure of an exterior angle of one of the base angles is?
What is 108?
200
If e, f , g, and h are consecutive odd integers and
e < f < g < h, then g + h is how much greater than e + f ?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 8
What is (E) 8?
200
The ratio of two numbers is 8 and their difference is 21. What is the value of the smaller number?
(A) 2
(B) 3
(C) 13
(D) 21
(E) 27
What is (B) 3?
200
If a cake is cut into thirds and each third is cut into
fourths, how many pieces of cake are there?
What is 12?
200
What is the value of x if 2x+3y=11 and 2x-y=7?
What is 4?
200
An equilateral triangle is inscribed in a circle. What is the degree measure of the arc formed by one side of the triangle?
What is 120?
300
If n is an odd integer, which of the following must be even?
A) 2n + 1
B) n(n + 2)
C) n + (n - 1)
D) (n - 2)(n + 2)
E) 2(n + 1)
What is (E)?
300
Three percent of 4,200 is equal to 6 percent of what number?
(A) 8,400
(B) 2,100
(C) 1,260
(D) 252
(E) 126
What is (B) 2,100?
300
If ½ of a pound of sugar is needed to make 40 cookies, then 60 cookies would require how many pounds of sugar?
A. .6
B. .75
C. .84
D. 1
E. 3
What is (B) .75?
300
If 30/(x+2)=5, the value of 3x is?
What is 12?
300
If the area of a square is 36, then the perimeter of the square is?
What is 24?
400
If a is equal to b multiplied by c, which of the following is equal to b divided by c?
(A) a/bc
(B) ab/c
(C) a/c
(D) a/c^2
(E) a/bc^2
What is (D)?
400
Let r#s=rs+s for all integers r and s. If r#s=0 and s<>0 , what must r equal?
(A) -2 (B) -1 (C) 0 (D) 1 (E) 2
What is (B) -1?
400
If six less than two times a number is four more than the number, what is the number?
A. 1
B. 5
C. 10
D. 15
E. 20
What is (C) 10?
400
If x+2y=7 and 2x+y=8, the value of x+y=?
(A) 2 (B) 3 (C) 5 (D) 10 (E) 15
What is (C) 5?
400
Three parallel lines in a plane are intersected by a fourth line, forming twelve angles. If one of the angles has measure of 28, how many of the other eleven angles have measure of 28?
What is 5?
500
If a is greater than 4, then, of the following, which
will always have the least value?
(A) 4/(a− 1)
(B) 4/a
(C) 4/(a+1)
(D) a/4
(E) (a+ 1)/4
What is (C)?
500
Tony drove 8 miles west, 6 miles north, 3 miles east, and 6 more miles north. How far was Tony from his starting point?
A. 13
B. 17
C. 19
D. 21
E. 23
What is (A) 13?
500
A total of 36,000 votes were cast for two opposing candidates, Harris and Levine. If Harris won by a ratio of 5:4, what was the number of votes cast for Harris?
A. 4,000
B. 16,000
C. 20,000
D. 22,000
E. 27,000
What is (C) 20,000?
500
If 2x + 1 = 8, the value of 4x + 1 = ?
What is 15?
500
The perimeter of an equilateral triangle is 24. Its area is?