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SS2 first term further Mathematics past questions and answers

SS2 first term further Mathematics past questions and answers


Here they are;

Question: If f(x) = 2x^3 - 5x^2 + 3x + 1f(x)=2x 
3
 −5x 
2
 +3x+1, find f'(x)f 
 (x).

A) 6x^2 - 10x + 36x 
2
 −10x+3
B) 6x^2 - 10x + 16x 
2
 −10x+1
C) 4x^3 - 5x^2 + 3x4x 
3
 −5x 
2
 +3x
D) 6x^2 - 5x + 36x 
2
 −5x+3
Answer: A) 6x^2 - 10x + 36x 
2
 −10x+3
Question: Determine the inverse of the function g(x) = 2x - 3g(x)=2x−3.

A) g^{-1}(x) = \frac{x + 3}{2}g 
−1
 (x)= 
2
x+3
​ 
 
B) g^{-1}(x) = \frac{x - 3}{2}g 
−1
 (x)= 
2
x−3
​ 
 
C) g^{-1}(x) = \frac{2x + 3}{2}g 
−1
 (x)= 
2
2x+3
​ 
 
D) g^{-1}(x) = \frac{2x - 3}{2}g 
−1
 (x)= 
2
2x−3
​ 
 
Answer: B) g^{-1}(x) = \frac{x - 3}{2}g 
−1
 (x)= 
2
x−3
​ 
 
Question: If A = \begin{bmatrix} 2 & 3 \\ 1 & 4 \end{bmatrix}A=[ 
2
1
​ 
  
3
4
​ 
 ] and B = \begin{bmatrix} 1 & 0 \\ 2 & -1 \end{bmatrix}B=[ 
1
2
​ 
  
0
−1
​ 
 ], find ABAB.

A) \begin{bmatrix} 8 & 3 \\ 9 & -1 \end{bmatrix}[ 
8
9
​ 
  
3
−1
​ 
 ]
B) \begin{bmatrix} 8 & 9 \\ 5 & -4 \end{bmatrix}[ 
8
5
​ 
  
9
−4
​ 
 ]
C) (\begin{bmatrix} 5 & 3 \ 6 &

Question: Solve the equation 2x^2 - 5x + 2 = 02x 
2
 −5x+2=0.

A) x = 2, \frac{1}{2}x=2, 
2
1
​ 
 
B) x = 1, -2x=1,−2
C) x = \frac{1}{2}, -2x= 
2
1
​ 
 ,−2
D) x = 2, -\frac{1}{2}x=2,− 
2
1
​ 
 
Answer: A) x = 2, \frac{1}{2}x=2, 
2
1
​ 
 
Question: Find the derivative of y = 3x^2 + 2x - 1y=3x 
2
 +2x−1 with respect to xx.

A) 6x + 26x+2
B) 3x^2 + 2x3x 
2
 +2x
C) 6x - 26x−2
D) 3x^2 - 23x 
2
 −2
Answer: A) 6x + 26x+2
Question: If sin^2 \theta + cos^2 \theta = 1sin 
2
 θ+cos 
2
 θ=1, find tan^2 \thetatan 
2
 θ.

A) tan^2 \theta = sin^2 \thetatan 
2
 θ=sin 
2
 θ
B) tan^2 \theta = cos^2 \thetatan 
2
 θ=cos 
2
 θ
C) tan^2 \theta = 1tan 
2
 θ=1
D) tan^2 \theta = \frac{1}{cos^2 \theta}tan 
2
 θ= 
cos 
2
 θ
1
​ 
 
Answer: D) tan^2 \theta = \frac{1}{cos^2 \theta}tan 
2
 θ= 
cos 
2
 θ
1
​ 
 
Question: Solve the inequality 2x - 3 < 52x−3<5 for xx.

A) x < 4x<4
B) x > 4x>4
C) x < 2x<2
D) x > 2x>2
Answer: B) x > 4x>4

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