JAMB Mathematics questions

497 questions with answers and explanations. Tap an option to check yourself.

All JAMB WAEC

Question 341· Polynomials· JAMB
Find the remainder when 2x³ + 3x² − x + 5 is divided by (x + 1).
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Answer: C. 7
Explanation and discussion
Question 342· Polynomials· JAMB
If (x − 1) is a factor of x³ + kx² − 4, find k.
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Answer: D. 3
Explanation and discussion
Question 343· Polynomials· JAMB
Factorise 10x² + 11x − 6.
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Answer: B. (5x − 2)(2x + 3)
Explanation and discussion
Question 344· Polynomials· JAMB
α and β are the roots of x² − 6x + 4 = 0. Find α² + β².
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Answer: D. 28
Explanation and discussion
Question 345· Polynomials· JAMB
Find the positive value of k for which x² + kx + 9 is a perfect square.
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Answer: A. 6
Explanation and discussion
Question 346· Polynomials· JAMB
Find the sum of the roots of 3x² − 12x + 5 = 0.
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Answer: D. 4
Explanation and discussion
Question 347· Probability· JAMB
A fair die is thrown once. What is the probability of NOT getting a 6?
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Answer: A. 5/6
Explanation and discussion
Question 348· Probability· JAMB
Two fair dice are thrown. What is the probability that the total is 7?
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Answer: D. 1/6
Explanation and discussion
Question 349· Probability· JAMB
A fair die is thrown once. What is the probability of getting a prime number?
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Answer: B. 1/2
Explanation and discussion
Question 350· Probability· JAMB
Two coins are tossed together. What is the probability of getting at least one head?
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Answer: D. 3/4
Explanation and discussion
Question 351· Probability· JAMB
Two fair dice are thrown. What is the probability that the total score is 12?
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Answer: B. 1/36
Explanation and discussion
Question 352· Probability· JAMB
Two fair dice are thrown. What is the probability that the total is less than 4?
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Answer: A. 1/12
Explanation and discussion
Question 353· Probability· JAMB
A bag contains 4 red and 6 blue balls. Two balls are drawn one after the other without replacement. Find the probability that both are red.
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Answer: C. 2/15
Explanation and discussion
Question 354· Probability· JAMB
A bag contains 4 white and 6 black balls. One ball is picked at random. Find the probability that it is white.
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Answer: B. 2/5
Explanation and discussion
Question 355· Probability· JAMB
A box contains 5 red and 3 blue balls. Two balls are drawn at random without replacement. Find the probability that one is red and one is blue.
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Answer: B. 15/28
Explanation and discussion
Question 356· Probability· JAMB
A bag holds 3 red, 4 green and 5 blue balls. One ball is drawn. Find the probability that it is not green.
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Answer: A. 2/3
Explanation and discussion
Question 357· Probability· JAMB
The probabilities that two marksmen hit a target are 0.5 and 0.4. They shoot independently. Find the probability that both miss.
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Answer: D. 0.3
Explanation and discussion
Question 358· Probability· JAMB
A card is drawn at random from a pack of 52 playing cards. What is the probability that it is an ace?
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Answer: D. 1/13
Explanation and discussion
Question 359· Probability· JAMB
A card is drawn at random from a pack of 52 playing cards. What is the probability that it is a red king?
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Answer: C. 1/26
Explanation and discussion
Question 360· Probability· JAMB
A and B are mutually exclusive events with P(A) = 1/3 and P(B) = 1/4. Find P(A or B).
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Answer: C. 7/12
Explanation and discussion

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JAMB Mathematics questions

Find the remainder when 2x³ + 3x² − x + 5 is divided by (x + 1).

If (x − 1) is a factor of x³ + kx² − 4, find k.

Factorise 10x² + 11x − 6.

α and β are the roots of x² − 6x + 4 = 0. Find α² + β².

Find the positive value of k for which x² + kx + 9 is a perfect square.

Find the sum of the roots of 3x² − 12x + 5 = 0.

A fair die is thrown once. What is the probability of NOT getting a 6?

Two fair dice are thrown. What is the probability that the total is 7?

A fair die is thrown once. What is the probability of getting a prime number?

Two coins are tossed together. What is the probability of getting at least one head?

Two fair dice are thrown. What is the probability that the total score is 12?

Two fair dice are thrown. What is the probability that the total is less than 4?

A bag contains 4 red and 6 blue balls. Two balls are drawn one after the other without replacement. Find the probability that both are red.

A bag contains 4 white and 6 black balls. One ball is picked at random. Find the probability that it is white.

A box contains 5 red and 3 blue balls. Two balls are drawn at random without replacement. Find the probability that one is red and one is blue.

A bag holds 3 red, 4 green and 5 blue balls. One ball is drawn. Find the probability that it is not green.

The probabilities that two marksmen hit a target are 0.5 and 0.4. They shoot independently. Find the probability that both miss.

A card is drawn at random from a pack of 52 playing cards. What is the probability that it is an ace?

A card is drawn at random from a pack of 52 playing cards. What is the probability that it is a red king?

A and B are mutually exclusive events with P(A) = 1/3 and P(B) = 1/4. Find P(A or B).