# Stem Entrance Exam Quiz: Can You Pass This Stem Exam?

29 Questions | Attempts: 113858
Share  Settings  Are you preparing for your upcoming STEM entrance exam? If yes, this STEM-themed quiz will be useful for you. Can you pass this quiz with a good score? If so, your preparation level is going great. This quiz consists of STEM-exam-related multiple-choice questions that are designed to test your knowledge on this subject. STEM (stands for science, technology, engineering, and mathematics) is a broad term that groups together these four academic skills and disciplines. Test and improve your basic knowledge of STEM with the quiz given below.

• 1.
If the set of numbers 3, -12, 48, -192 form a geometric sequence, what is the common ratio between any two consecutive terms?
• A.

– 12

• B.

– 8

• C.

-6

• D.

-4

• 2.
What is the next term in the arithmetic sequence:  2, 13/4, 9/2. 23/4
• A.

7

• B.

29/4

• C.

15/2

• D.

31/4

• 3.
Which of the following is NOT an example of a harmonic sequence?
• A.

1/6, 1/7, 1/8, 1/9,...

• B.

4, 0, -4, -2

• C.

1/4, 1/12, 1/36,1/108,...

• D.

1/3, 1/12, 1/21, 1/30,...

• 4.
What is the sum of all even integers from 21 to 51?
• A.

540

• B.

596

• C.

600

• D.

640

• 5.
What quotient shall be obtained when (x+9) divides (x2 – 81)?
• A.

X+9

• B.

X-9

• C.

9X+1

• D.

9X-1

• 6.
What is the remainder of the expression ( 5b2+ 15b – 35) is divided by (b + 5)?
• A.

15

• B.

20

• C.

25

• D.

30

• 7.
Which of the following is a factor of (3a + 1)?
• A.

3a2 + 3a + 1

• B.

3a2 + 5a + 1

• C.

6a2 + 5a + 1

• D.

6a2 + 5a + 3

• 8.
What is the value of K if the expression (- 5x3 + 4x2 – 3x + K) is divided by (x-1), and obtains a remainder of 10?
• A.

12

• B.

14

• C.

16

• D.

18

• 9.
Jace will evaluate a 7th-degree polynomial in m, whose value is 5 through synthetic division. How many coefficients of m shall be written in the first row of the synthetic division procedure?
• A.

5

• B.

6

• C.

7

• D.

• 10.
What is the value of P(-2) in the expression: P(x) = 7x4 – 5x3 + 2x2 – 3?
• A.

161

• B.

159

• C.

157

• D.

155

• 11.
Which of the following polynomial equation with roots -1, 1, and 4?
• A.

P(x) = x3 – 4x2 – 2x + 4

• B.

P(x) = x3 – 4x2 – 4x – 4

• C.

P(x) = x3 – 4x2 + x + 4

• D.

P(x) = x3 – 4x2 – x + 4

• 12.
What are the roots of the quadratic equation b2 – 5b – 36 = 0?
• A.

(9, 4)

• B.

(9,-4)

• C.

(-9, -4(

• D.

(-9,4)

• 13.
A square with a side of 12 cm and a rectangle with a width of 8 cm have the same area. What is the length of the rectangle?
• A.

16 CM

• B.

17 CM

• C.

18 CM

• D.

20 CM

• 14.
In square FATE, the measure of angle F is 4x + 30.  What is the value of x?
• A.

21 degrees

• B.

19 degrees

• C.

15 degrees

• D.

13 degrees

• 15.
What is the sum of the first 8 terms of an arithmetic sequence whose first term is 37 and the common difference is -4?
• A.

180

• B.

182

• C.

184

• D.

186

• 16.
The polynomial function P(x) = xn is true when,
• A.

N is any real number

• B.

N is an non-negative number

• C.

N is an integer

• D.

N is an irrational number

• 17.
What is the leading term in a polynomial function P(x) = 5 + 7x4 – 3x + 2x5?
• A.

2

• B.

3

• C.

5

• D.

7

• 18.
The computation for profit in a textile store is presented by the mathematical model P(x) = 3x2 + 6x – 120,000 where x is the number of meters being sold. What is the computed profit if the number of meters being sold is 250?
• A.

70,000.00

• B.

69,000.00

• C.

68, 000.00

• D.

67,000.00

• 19.
Which of the following function will cross the x-axis thrice?
• A.

P(x) = (x2-1)(x2 – 5x + 6)

• B.

P(x) = (2x2 – 5x + 2) (x+3)

• C.

Both A and B

• D.

Neither A Nor B

• 20.
Which of the following mathematical models is used to determine the distance between two points whose coordinates are (x1, y1) and (x2, y2)?
• A.

A.

• B.

B.

• C.

C.

• D.

D.

• 21.
What is the expansion of (2x – 3)3?
• A.

8x3 – 27

• B.

8x3 – 36x2 + 54x – 27

• C.

8x3 + 54x – 27

• D.

8x3 + 36x2 – 54x – 27

• 22.
Mr.Torres has to travel going to his workplace during weekdays (Monday to Friday). He has three ways to travel – by train, car, or jeep. In how many ways can Mr. Torres report for work during the said days?
• A.

243 ways

• B.

225 ways

• C.

15 ways

• D.

3 ways

• 23.
What is the value of the expression C (8, 6)?
• A.

56

• B.

48

• C.

28

• D.

14

• 24.
What is the value of expression 10!/(4!7!)
• A.

90

• B.

60

• C.

40

• D.

30

• 25.
What is the equation of the circle whose center is at the point (3,2), and the point (9,10) is on the circle?
• A.

(x + 3)2 + (y + 2)2 = 10

• B.

(x – 3)2 + (y – 2)2 = 100

• C.

(x – 2)2 + (y – 3)2 = 100

• D.

(x – 3)2 + (y – 2)2 = 100

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