Further Mathematics NABTEB exam past questions and answers

Further Mathematics NABTEB exam past questions and answers

Here they are;

Question 9:

If P = 3x^3 - 5x^2 + 2x - 7P=3x 

3

 −5x 

2

 +2x−7, find P'(x)P 

′

 (x).

A) 9x^2 - 10x + 29x 

2

 −10x+2

B) 9x^2 - 10x - 29x 

2

 −10x−2

C) 6x^2 - 10x + 26x 

2

 −10x+2

D) 6x^2 - 10x - 26x 

2

 −10x−2

Answer: A) 9x^2 - 10x + 29x 

2

 −10x+2

Question 10:

Solve the system of equations:

\begin{align*} 2x - y &= 1 \\ 4x + 3y &= 5 \end{align*}

2x−y

4x+3y

​ 

  

=1

=5

​ 

 

A) x = 2, y = 3x=2,y=3

B) x = 1, y = 2x=1,y=2

C) x = 3, y = 1x=3,y=1

D) x = 2, y = 1x=2,y=1

Answer: D) x = 2, y = 1x=2,y=1

Question 11:

Evaluate \lim_{{x \to 0}} \frac{\sin(x)}{x}lim 

x→0

​ 

  

x

sin(x)

​ 

 .

A) 0

B) 1

C) \frac{\pi}{2} 

2

π

​ 

 

D) undefined

Answer: B) 1

Question 12:

If f(x) = \ln(x)f(x)=ln(x), find f''(x)f 

′′

 (x).

A) -\frac{1}{x^2}− 

x 

2

 

1

​ 

 

B) \frac{1}{x^2} 

x 

2

 

1

​ 

 

C) -\frac{1}{x}− 

x

1

​ 

 

D) \frac{1}{x} 

x

1

​ 

 

Answer: A) ( -\frac{1}{