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

29 Questions | Total Attempts: 39696  Settings  Are you preparing for the STEM (Science, technology, engineering, and mathematics) exam? If yes, then this STEM entrance exam quiz will be very useful for you. This quiz consists of STEM-exam-related multiple-choice questions that are designed to test your knowledge on this subject. So, if you think you have a good understanding of this topic, then you must take this quiz and test your brain skills. All you have to do is choose the correct option for every question. Results will be shown in the end, and you can see how well you scored. Are you ready to take the quiz? Let's start then!

• 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.

A. – 12

• B.

B. – 8

• C.

C. -6

• D.

D. -4

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

A. 7

• B.

B. 29/4

• C.

C. 15/2

• D.

D. 31/4

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

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

• B.

B. 4, 0, -4, -2

• C.

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

• D.

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

• 4.
What is the sum of all even integers from 21 to 50?
• A.

A. 540

• B.

B. 592

• C.

C. 600

• D.

D. 640

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

A. X+9

• B.

B. X-9

• C.

C. 9X+1

• D.

D. 9X-1

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

A. 15

• B.

B. 20

• C.

C. 25

• D.

D. 30

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

A. 3a2 + 3a + 1

• B.

B. 3a2 + 5a + 1

• C.

C. 6a2 + 5a + 1

• D.

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.

A. 12

• B.

B. 14

• C.

C. 16

• D.

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.

A. 5

• B.

B. 6

• C.

C. 7

• D.

D. 8

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

A. 161

• B.

B. 159

• C.

C. 157

• D.

D. 155

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

A. P(x) = x3 – 4x2 – 2x + 4

• B.

B. P(x) = x3 – 4x2 – 4x – 4

• C.

C. P(x) = x3 – 4x2 + x + 4

• D.

D. P(x) = x3 – 4x2 – x + 4

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

A. (9, 4)

• B.

B. (9,-4)

• C.

C. (-9, -4(

• D.

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.

A. 16 CM

• B.

B. 17 CM

• C.

C. 18 CM

• D.

D. 20 CM

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

A. 21 degrees

• B.

B. 19 degrees

• C.

C. 15 degrees

• D.

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.

A. 180

• B.

B. 182

• C.

C. 184

• D.

D. 186

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

A. N is any real number

• B.

B. N is an non-negative number

• C.

C. N is an integer

• D.

D. N is an irrational number

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

A. 2

• B.

B. 3

• C.

C. 5

• D.

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.

A. P70,000.OO

• B.

B, P69,000.00

• C.

C, P68, 000.00

• D.

D. 67,000.00

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

A. P(x) = (x2-1)(x2 – 5x + 6)

• B.

B. P(x) = (2x2 – 5x + 2) (x+3)

• C.

C. Both A and B

• D.

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.

A. 8x3 – 27

• B.

B. 8x3 – 36x2 + 54x – 27

• C.

C. 8x3 + 54x – 27

• D.

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.

A. 243 ways

• B.

B. 225 ways

• C.

C. 15 ways

• D.

D. 3 ways

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

A. 56

• B.

B. 48

• C.

C. 28

• D.

D. 14

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

A. 90

• B.

B. 60

• C.

C. 40

• D.

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.

A. (x + 3)2 + (y + 2)2 = 10

• B.

B. (x – 3)2 + (y – 2)2 = 100

• C.

C. (x – 2)2 + (y – 3)2 = 100

• D.

D.  (x – 3)2 + (y – 2)2 = 100

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