# Further Mathematics Waec Past Questions And Answers (Objective and Theory)

# Further Mathematics Waec Past Questions And Answers (Objective and Theory)

Further Mathematics WAEC questions, including a theory section with 5 questions, options, and answers.

Multiple Choice Questions (1-15):

Question: If 2x – 5 = 32x−5=3 and 4x + 7 = 194x+7=19, find the value of xx.

A) 4

B) 5

C) 6

D) 7

Answer: A) 4

Question: Solve for yy in the equation \frac{3y}{2} + 4 = 10

2

3y

+4=10.

A) 2

B) 3

C) 4

D) 5

Answer: B) 3

Question: In a geometric progression, the first term is 2 and the common ratio is 3. Find the seventh term.

A) 1458

B) 729

C) 81

D) 54

Answer: B) 729

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: The sum of the interior angles of a polygon is 1800^\circ1800

∘

. How many sides does the polygon have?

A) 8

B) 9

C) 10

D) 12

Answer: C) 10

… (Continue with questions 6-15)

Theory Section (16-20):

Question: Prove that the opposite angles of a cyclic quadrilateral are supplementary.

Question: Given a matrix A = \begin{bmatrix} 2 & -3 \\ 5 & 4 \end{bmatrix}A=[

2

5

−3

4

], find the determinant of AA.

Question: Solve the differential equation \frac{dy}{dx} = 2x + 3

dx

dy

=2x+3 given that y(0) = 1y(0)=1.

Question: In a group of 50 students, 30 study Mathematics, 25 study Physics, and 15 study both subjects. How many students study only Physics?

Question: A ladder, 10 meters long, is leaning against a wall. If the base of the ladder is 6 meters away from the wall, find the angle between the ladder and the ground.