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SS1 Further MATHEMATICS Objective

Find the 7th term of G.P from the following sequence: $4, 8, 16, 32$
- (A) 256
- (B) $-256$
- (C) 313
- (D) 512
Use table to evaluate $\cos 115^\circ$
- (A) 0.4226
- (B) $-0.4226$
- (C) 0.8710
- (D) $-0.8710$
Solve this inequality: $3x - 2 < x + 1$
- (A) $x < \frac{1}{2}$
- (B) $x < \frac{2}{3}$
- (C) $x < \frac{3}{2}$
- (D) $x < 3$
Solve this Inequality: $4x + \frac{1}{3} \ge \frac{2}{3}x - 2$
- (A) $x \ge -\frac{7}{10}$
- (B) $x \ge -\frac{7}{6}$
- (C) $x \ge -\frac{1}{2}$
- (D) $x \ge -\frac{7}{30}$
The 4th term of an arithmetical Progression is 15 and the 9th term is 35. Find the 15th term.
- (A) 56
- (B) 57
- (C) 58
- (D) 59
Find the Sum of the first twenty terms of the linear sequence $1, 5, 9, 13,...$
- (A) 760
- (B) 770
- (C) 780
- (D) 790
Given a right-angled triangle where the hypotenuse is 10 and the adjacent side to angle $\theta$ is 8. Find $\tan \theta$ .
- (A) $\frac{6}{1}$
- (B) $\frac{6}{8}$
- (C) $\frac{8}{6}$
- (D) $\frac{8}{4}$
Given a right-angled triangle where the hypotenuse is 13 and the adjacent side to angle $\theta$ is 5. The opposite side is labeled $y$ . Find the value of $\cot \theta$ .
- (A) $\frac{5}{3}$
- (B) $\frac{5}{12}$
- (C) $\frac{12}{5}$
- (D) $\frac{5}{14}$
Given that $\sin \alpha = \frac{8}{17}$ , find the value of $\csc \alpha$ .
- (A) $\frac{17}{8}$
- (B) $\frac{8}{17}$
- (C) $\frac{15}{17}$
- (D) $\frac{17}{15}$
Determine the quadrant for $115^\circ$ .
- (A) 1st Quadrant
- (B) 2nd Quadrant
- (C) 3rd Quadrant
- (D) 4th Quadrant
Determine the quadrant for $250^\circ$ .
- (A) 1st Quadrant
- (B) 2nd Quadrant
- (C) 3rd Quadrant
- (D) 4th Quadrant
Determine the quadrant for $300^\circ$ .
- (A) 1st Quadrant
- (B) 2nd Quadrant
- (C) 3rd Quadrant
- (D) 4th Quadrant
Determine the quadrant for $45^\circ$ .
- (A) 1st Quadrant
- (B) 2nd Quadrant
- (C) 3rd Quadrant
- (D) 4th Quadrant
Determine the quadrant for $180^\circ$ .
- (A) 1st Quadrant
- (B) 2nd Quadrant
- (C) 3rd Quadrant
- (D) 4th Quadrant
Determine the quadrant for $90^\circ$ .
- (A) 1st Quadrant
- (B) 2nd Quadrant
- (C) 3rd Quadrant
- (D) 4th Quadrant
Determine the quadrant for $270^\circ$ .
- (A) 1st Quadrant
- (B) 2nd Quadrant
- (C) 3rd Quadrant
- (D) 4th Quadrant
Determine the quadrant for $360^\circ$ .
- (A) 1st Quadrant
- (B) 2nd Quadrant
- (C) 3rd Quadrant
- (D) 4th Quadrant
Determine the quadrant for $100^\circ$ .
- (A) 1st Quadrant
- (B) 2nd Quadrant
- (C) 3rd Quadrant
- (D) 4th Quadrant
Find the 7th term of G.P from the following sequence: $4, 8, 16, 32$
- (A) 256
- (B) $-256$
- (C) 313
- (D) 512
If $2^{2x+y} = 32$ and $2^{x-y} = 1$ , find the value of $x$ and $y$ .
- (A) $x=1, y=1$
- (B) $x=2, y=1$
- (C) $x=3, y=2$
- (D) $x=5, y=0$

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