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
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