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

29 Questions | By Judz017 | Updated: Jul 25, 2022 | Attempts: 113858

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

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.

Questions and Answers

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.
  
  8
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