JavaScript is disabled on your browser. Enable JavaScript to use this site. Learn More

If 6 + 2x is 6 more than 12, what is the value of 4x?

6

12

18

24

30

7, 15, 23, ... In the sequence above. The first term is 7 and each term after the first is 8 more than the previous term. What is the 16th term of the sequence?

120

127

112

135

136

If p and q are positive integers and 3^p = 27^q, what is the value of q/p?

1/2

1/3

1/4

2

3

The regular price of a set of sofa in a certain store is $2400. How much money is saved by buying this set of sofa at 30% off the regular price rather than buying it on sale at 15% off the regular price with an additional discount of 15% off the sale price?

$0

$45

$54

$66

$72

The average (arithmetic mean) of w and z is 24, and the average of x and y is 36. What is the average of w, x, y, and z?

30

28

24

15

36

Two spheres, one with radius 9 and the other with radius 6, are tangent to each other. If P and Q are two points on separate sphere, what is the maximum possible length of PQ?

30

28

24

15

36

If a positive integer n is picked at random from the positive integers less than or equal to 20, what is the probability that (3n - 5 ) > 39 ?

0

1/10

1/5

1/40

3/10

If x is a number between 0 and 1, then what is the positive difference between x and x^2?

x

2

x(x - 1)

x(1 - x)

(x - 1)(x + 1)

Let &n be defined as n^2 + 1/n^2 for all nonzero integers n. If &n = t, where t is an integer, which of the following is a possible value of t?

-1

0

17/4

9/4

1

6

12

18

24

30

7, 15, 23, ... In the sequence above. The first term is 7 and each term after the first is 8 more than the previous term. What is the 16th term of the sequence?

120

127

112

135

136

If p and q are positive integers and 3^p = 27^q, what is the value of q/p?

1/2

1/3

1/4

2

3

The regular price of a set of sofa in a certain store is $2400. How much money is saved by buying this set of sofa at 30% off the regular price rather than buying it on sale at 15% off the regular price with an additional discount of 15% off the sale price?

$0

$45

$54

$66

$72

The average (arithmetic mean) of w and z is 24, and the average of x and y is 36. What is the average of w, x, y, and z?

30

28

24

15

36

Two spheres, one with radius 9 and the other with radius 6, are tangent to each other. If P and Q are two points on separate sphere, what is the maximum possible length of PQ?

30

28

24

15

36

If a positive integer n is picked at random from the positive integers less than or equal to 20, what is the probability that (3n - 5 ) > 39 ?

0

1/10

1/5

1/40

3/10

If x is a number between 0 and 1, then what is the positive difference between x and x^2?

x

2

x(x - 1)

x(1 - x)

(x - 1)(x + 1)

Let &n be defined as n^2 + 1/n^2 for all nonzero integers n. If &n = t, where t is an integer, which of the following is a possible value of t?

-1

0

17/4

9/4

1

This is the qualifier test. It will consist of 10 questions with different difficulties (1-5). Time Limit: 6 minutes No Calculator Qualify for (600-700): 8/10 Qualify for (700-800): 10/10