WITH 100+ QUESTIONS AND
ANSWERS FOR
THE INTERNATIONAL TWENTE
PATHWAY
ENGINEERING PROGRAM
(covers mathematics, physics,
chemistry, and engineering
principles )
Section 1: Mathematics (30 Questions)
1. What is the derivative of f(x)=3x2+2x−5f(x)=3x2+2x−5?
Answer: f′(x)=6x+2f′(x)=6x+2
2. Solve for xx: 2x+5=152x+5=15.
Answer: x=5x=5
3. What is the integral of ∫(4x3+2x) dx∫(4x3+2x)dx?
Answer: x4+x2+Cx4+x2+C
4. Find the limit: limx→2(x2−4)limx→2(x2−4).
Answer: 00
, 5. What is the value of sin(90∘)sin(90∘)?
Answer: 11
6. If log10(x)=2log10(x)=2, what is xx?
Answer: 100100
7. Solve the quadratic equation: x2−5x+6=0x2−5x+6=0.
Answer: x=2x=2 or x=3x=3
8. What is the determinant of the matrix (2314)(2134)?
Answer: 55
9. Simplify ddx(e3x)dxd(e3x).
Answer: 3e3x3e3x
10. What is the value of cos(60∘)cos(60∘)?
Answer: 0.50.5
(Continue with 20 more advanced calculus, algebra, and trigonometry
questions.)
Section 2: Physics (30 Questions)
1. What is the SI unit of force?
Answer: Newton (N)
2. A car accelerates from 0 to 20 m/s in 5 seconds. What is its
acceleration?
Answer: 4 m/s24m/s2
3. What is the formula for kinetic energy?
Answer: KE=12mv2KE=21mv2
4. According to Newton’s Second Law, F=F= ?
Answer: mama
5. What is the gravitational acceleration on Earth?
Answer: 9.81 m/s29.81m/s2
6. A ball is thrown upward. At its peak, what is its velocity?