Study WAEC questions on Quadratic Equations (+PDF)

These WAEC questions on Quadratic Equations are all from its sub-topics in the WAEC MATH SYLLABUS.

We have also covered each Quadratic Equations sub-topic with detailed explanation in our WAEC Math lesson online.

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WAEC Quadratic Equations Questions

Attempt each question before checking its correct answer and explanation.

1. Find the truth set of the equation x² – 3 (2x + 9)

A. {x: x = 3, x = 9}
B. {x: x = -3, x = -9}
C. {x: x = 3, x = -9}
D. {x: x = -3, x = 9}

2. If (x – a) is a factor of bx – ax + x² – ab, find the other factor. 

A. (x + b)
B. (x – b)
C. (a + b)
D. (a – b)

3. Factorize x + y – ax – ay 

A. (x – y) (1 – a)
B. (x + y) (1 + a)
C. (x + y) (1 – a)
D. (x – y) (1 + a)

4. Factorize completely: 6ax – 12by – 9ay + 8bx

A. (2a – 3b) (4x + 3y)
B. (3a + 4b) (2x – 3y)
C. (3a – 4b) (2x + 3y)
D. (2a + 3b) (4x – 3y)

5.  Factorize 5y² + 2ay – 3a²

A. (a – y) (5y – 3a)
B. (y – a) (5y – 3a)
C. (y – a) (5y + 3a)
D. (y + a) (5y – 3a)

6. One of the factors of (mn – nq – n² + mq) is (m – n). The other factor is ______

A. (n – q)
B. (q – n)
C. (n + q)
D. (q + n)

7. Factorize the expression: am + bn – an – bm

A. (a – b) (m + n)
B. (a – b) (m – n)
C. (a + b) ( m – n)
D. (a + b) ( m + n)

8. What must be added to (2x – 3y) to get (x – 2y) 

A. 5y – x
B. y – x
C. x – 5x
D. x – y

9. If x = 3, y = 2 and z = 4, what is the value of 3x² – 2y + z

A. 17
B. 27
C. 35
D. 71

10. Find the smaller value of x that satisfies the equation: x2 + 7x + 10 = 0

A. -5
B. -2
C. 2
D. 5

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