# Can You Pass This Stem Exam? Quiz

29 Questions | Total Attempts: 23034  Settings  .

• 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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