1. On a math test, 12 students earned an A. This number is exactly 25% of the total number of students in the class. How many students are in the class?

A. 15

B. 16

C. 21

D. 30

E. 48

What did you use to solve the problem?

A. 25%

B. 0.25

C. .

D. .

E. None of the above

12

1

4

2. What is the fifth term of the arithmetic sequence 8, 6, 4, . . . ?

A. -2

B. 0

C. 4

D. 8

E. 16

How long did it take you to select your answer?

A. Less than 10 secondsB. Between 10 and 15 secondsC. About 30 secondsD. About 50 secondsE. More than 60 seconds

3. Three pieces of wire, each 2.8 meters long, are cut from the end of a wire 90 meters long. How many meters of wire are left?

A. 81.6B. 82.6C. 83.2D. 83.6E. 87.2

Talk with someone about how to solve this problem without “doing the math”

4. If x3 = 20 and x is a real number, then x lies between which two consecutive integers?

A. 2 and 3

B. 3 and 4

C. 4 and 5

D. 5 and 6

E. 6 and 7

Is x closer to 2 or 3? How do you know?

5. What is the area, in square meters, of a right triangle with sides of length 8

meters, 15 meters, and 17 meters?

A. 40

B. 60

C. 68

D. 120

E. 127.5

What knowledge is needed to answer the pervious question?

6. For what value of a would the following system of equations have an infinite number of solutions?

2x – y = 68x – 4y = 3a

A. 2B. 6C. 8D. 18E. 24

Why is the previous question so dangerous?

7. Two numbers have a greatest common factor of 4 and a least common multiple of 24. Which of the following could be the pair of numbers?

A. 4 and 8

B. 4 and 12

C. 8 and 12

D. 8 and 24

E. 12 and 24

What percent of your students will answer the previous question correctly?

A. 25%B. 50%C. 70%D. 90%E. 100%

8. A certain circle as an area of square inches. How many inches long is its radius?

A. .

B. 1

C. 2

D. .

E.

2

1

2

What content strand(s) does this question address?

A. Number/OperationB. AlgebraC. GeometryD. Probability and StatisticsE. Measurement

9. If A, B and C are real numbers, and if ABC = 1, which of the following conditions must be true?

A. AB is equal to

B. A, B, and C must all be positive

C. Either A = 1, B = 1, or C = 1

D. Either A = 0, B = 0, or C = 0

E. Either A < 1, B < 1, or C < 1

1

C

I read all the choice before choosing my answer.

True

False

10. Martin has an empty bag and puts in 3 red marbles. He now wants to put in enough green marbles so the probability of drawing a red marble at random from the bag is . How many green marbles should he put in?

A. 1B. 3C. 5D. 9E. 12

1

4

My students know that there will be a few probability questions on the ACT.

True

False