SS3 first term further Mathematics past questions and answers

SS3 first term further Mathematics past questions and answers

Here they are;

Question: In a geometric progression, if a_1 = 2a 

1

​ 

 =2 and r = 3r=3, find the 5th term.

A) 162

B) 54

C) 486

D) 81

Answer: A) 162

Question: If \tan\theta = \frac{3}{4}tanθ= 

4

3

​ 

 , find \sin\thetasinθ.

A) \frac{3}{5} 

5

3

​ 

 

B) \frac{4}{5} 

5

4

​ 

 

C) \frac{1}{5} 

5

1

​ 

 

D) \frac{2}{5} 

5

2

​ 

 

Answer: A) \frac{3}{5} 

5

3

​ 

 

Question: Evaluate \log_2 32log 

2

​ 

 32.

A) 5

B) 4

C) 3

D) 2

Answer: A) 5

Question: Find the sum of the first 20 terms of the arithmetic progression: 5, 8, 11, \ldots5,8,11,….

A) 620

B) 615

C) 630

D) 640

Answer: A) 620

Question: If Z = 2 + 3iZ=2+3i and W = 1 - 2iW=1−2i, find Z \cdot WZ⋅W.

A) -4 + 7i−4+7i

B) -5 - 4i−5−4i

C) 7 - 4i7−4i

D) -4 - 7i−4−7i

Answer: A) -4 + 7i−4+7i

Question: Find the range of the function f(x) = 2x^2 + 4x + 1f(x)=2x 

2

 +4x+1.

A) All real numbers

B) y \leq \frac{1}{4}y≤ 

4

1

​ 

 

C) y \geq \frac{1}{4}y≥ 

4

1

​ 

 

D) y \geq 1y≥1

Answer: C) y \geq \frac{1}{4}y≥ 

4

1

​ 

 

Question: Solve the inequality: \frac{2x + 1}{3} > 5 

3

2x+1

​ 

 >5.

A) x < 7/2x<7/2

B) x > 7/2x>7/2

C) x < 8/3x<8/3

D) x > 8/3x>8/3

Question: Solve for x: 2x^2 - 5x + 3 = 02x 

2

 −5x+3=0.

A) x = 1, x = 3x=1,x=3

B) x = 2, x = 1.5x=2,x=1.5

C) x = -1, x = -3x=−1,x=−3

D) x = -2, x = -1.5x=−2,x=−1.5

Answer: A) x = 1, x = 3x=1,x=3

Question: Evaluate \lim_{{x \to 0}} \frac{{\sin 3x}}{{x}}lim 

x→0

​ 

  

x

sin3x

​ 

 .

A) 0

B) 1

C) 3

D) \frac{1}{3} 

3

1

​ 

 

Answer: C) 3

Question: If f(x) = 2x^2 + 3x - 5f(x)=2x 

2

 +3x−5, find f'(x)f 

′

 (x).

A) 4x + 34x+3

B) 2x + 32x+3

C) 4x - 34x−3

D) 2x - 32x−3

Answer: B) 2x + 32x+3

Question: Solve the system of equations:

2x + y = 52x+y=5

x - 3y = -12x−3y=−12

A) x = 3, y = -1x=3,y=−1

B) x = -2, y = 7x=−2,y=7

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

D) x = -3, y = 8x=−3,y=8

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