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SS1 Further MATHEMATICS Objective
1. Find the 7th term of G.P from the following sequence: $4, 8, 16, 32$
(A) $256$
(B) $-256$
(C) $313$
(D) $512$
2. Use table to evaluate $\cos 115^\circ$
(A) $0.4226$
(B) $-0.4226$
(C) $0.8710$
(D) $-0.8710$
3. Solve this inequality: $3x - 2 < x + 1$
(A) $x < \frac{1}{2}$
(B) $x < \frac{2}{3}$
(C) $x < \frac{3}{2}$
(D) $x < 3$
4. 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) $x \ge -\frac{7}{30}$
5. 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) $59$
6. Find the Sum of the first twenty terms of the linear sequence $1, 5, 9, 13,...$
(A) $760$
(B) $770$
(C) $780$
(D) $790$
7. 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) $\frac{8}{4}$
8. 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) $\frac{5}{14}$
9. 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) $\frac{17}{15}$
10. Determine the quadrant for $115^\circ$.
(A) 1st Quadrant
(B) 2nd Quadrant
(C) 3rd Quadrant
(D) 4th Quadrant
11. Determine the quadrant for $250^\circ$.
(A) 1st Quadrant
(B) 2nd Quadrant
(C) 3rd Quadrant
(D) 4th Quadrant
12. Determine the quadrant for $300^\circ$.
(A) 1st Quadrant
(B) 2nd Quadrant
(C) 3rd Quadrant
(D) 4th Quadrant
13. Determine the quadrant for $45^\circ$.
(A) 1st Quadrant
(B) 2nd Quadrant
(C) 3rd Quadrant
(D) 4th Quadrant
14. Determine the quadrant for $180^\circ$.
(A) 1st Quadrant
(B) 2nd Quadrant
(C) 3rd Quadrant
(D) 4th Quadrant
15. Determine the quadrant for $90^\circ$.
(A) 1st Quadrant
(B) 2nd Quadrant
(C) 3rd Quadrant
(D) 4th Quadrant
16. Determine the quadrant for $270^\circ$.
(A) 1st Quadrant
(B) 2nd Quadrant
(C) 3rd Quadrant
(D) 4th Quadrant
17. Determine the quadrant for $360^\circ$.
(A) 1st Quadrant
(B) 2nd Quadrant
(C) 3rd Quadrant
(D) 4th Quadrant
18. Determine the quadrant for $100^\circ$.
(A) 1st Quadrant
(B) 2nd Quadrant
(C) 3rd Quadrant
(D) 4th Quadrant
19. Find the 7th term of G.P from the following sequence: $4, 8, 16, 32$
(A) $256$
(B) $-256$
(C) $313$
(D) $512$
20. 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) $x=5, y=0$
