Compass Math Pool 3

Question 1

x = 4m2   y = (2m+ 1)(2m− 1)  Given the two equations, what is y in terms of x ?

Accepted Answer

x + 1

Answer

x − 1

Answer

x squared/2 -1

Answer

x squared-1

Answer

x squared + 1

Question 2

15, 9, 27, 10, 14, 9, 20: The number 10 is to be added to the list above. Which of the following must be true about the median and mode of the new list compared to the original?

Accepted Answer

The number of modes will decrease and the median will decrease.

Answer

The median and the number of modes will not change.

Answer

The number of modes will increase and the median will decrease.

Answer

The number of modes will increase and the median will increase.

Answer

The mode will tell the median to give it a Twinkie.

Question 3

If f(x) = 2x+4, then what is the value of f(4) + f(6) ?

Accepted Answer

f(18)

Answer

f(8)

Answer

f(10)

Answer

f(12)

Answer

f(28)

Question 4

If x2 + 5x − 14 = 0, and x > 0, then what is the value of x ?

Accepted Answer

2

Answer

-7

Answer

1

Answer

4

Answer

6

Question 5

A farmer can pick 12 cabbages in 1 hour. Working at the same rate, how long in hours would it take two farmers to pick 48 cabbages?

Accepted Answer

2

Answer

1

Answer

4

Answer

6

Answer

8

Question 6

For two particular numbers x and y, the values of x − y and 2x − y are consecutive odd integers, respectively. What is the value of x ?

Accepted Answer

2

Answer

-1

Answer

-1/2

Answer

0

Answer

1

Question 7

All cabbages are red. Which of the following statements shows that the statement  is FALSE?

Accepted Answer

Keisha is eating a green cabbage.

Answer

David is eating a red apple.

Answer

Bill is eating a green apple.

Answer

Alice is not eating a red cabbage.

Answer

Ted is eating a red cabbage.

Question 8

A particular type of soup is made by combining water and cabbage so that the ratio of water to cabbage is 9 to 1 by weight. How many pounds of cabbage are needed to make 180 pounds of this type of soup?

Accepted Answer

18

Answer

9

Answer

20

Answer

160

Answer

162

Question 9

Two consecutive integers m and n are prime numbers. Which of the following is equal to mn ?

Accepted Answer

6

Answer

1

Answer

2

Answer

9

Answer

15

Question 10

Set P is the set of all positive multiples of 4 less than 30. Set Q is the set of all positive multiples of 6 less than 30. How many numbers are in the intersection of sets P and Q?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Answer

4