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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
Question 12:
If f(x) = \ln(x)f(x)=ln(x), find f''(x)f
′′
(x).
A) -\frac{1}{x^2}−
2

1
​

B) \frac{1}{x^2}
2

1
​

C) -\frac{1}{x}−
x
1
​

D) \frac{1}{x}
x
1
​