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SS3 third Term further Mathematics past questions and answers

SS3 third Term further Mathematics past questions and answers

Here they are;

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
​

5
3
​

Question: Evaluate \log_2 32log
2
​
32.
A) 5
B) 4
C) 3
D) 2
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
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
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
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
​

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