JAMB Past Questions and Answers on mathematics

 JAMB Past Questions and Answers on mathematics UTME. Below is how to get jamb past questions for mathematics and stips  on How to pass JAMB successfully in 2023 UTME.

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The Joint Admission and Matriculation Board (JAMB) has its patterns of asking questions in mathematics and understanding the patterns and the key topics in mathematics would help you perform well.

 JAMB Past Questions and Answers on mathematics

The Joint Admission and Matriculation Board (JAMB) is an examination body that is unique in its own way of testing students. It is good to know the patterns and topics to which questions are repeated by Jamb annually.

This new process has helped in reducing malpractice, saving time and cost-effective means of making UTME a fair playing ground for all candidates. In the time past, the rate of malpractice was high but this has reduced via the introduction of CBT.

However, many students haven’t been able to integrate well with JAMB CBT and this has led to failure or underperformance of many students. For any student to pass JAMB successfully, he/she must master the act of taking CBT which is quite different from paper based test. Mastering this act will enable you to pass JAMB successfully.

Sample JAMB Past Questions and Answers on mathematics

Note: The questions and answers below are for practice. Use them to prepare for JAMB mock and JAMB examination.

1. The expression ax^2 + bx takes the value 6 when x = 1 and 10 when x = 2. Find its values when x = 5

A. 10

B. 12

C. 6

D. -10

ANSWER: A (10)

2. The indefinite integral of xe^x, for any real constant is

A. C

B. x + e^x + C

C. x^2 + e^x + C

D. e^x(x-1) + C

ANSWER: D ( e^x(x-1) + C )

3. A cone has a base radius of 4 cm and a height of 3 cm. The area of its curved surface is

A. 12 pi cm^2

B. 20 pi cm^2

C. 24 pi cm^2

D. 251 pi cm^2

ANSWER: B (20 pi cm^2)

4. The sum of the first five terms 0f the series 4+2+1… is

A. 12

B. -12

C. -6

D. 31/4

ANSWER: D (31/4)

5. If a√5 + b √2 is the square root of 95-30√10, the values of a and b are, respectively

A. 5, 2

B. 2, -5

C. -5, 3

D. 3, -5

ANSWER: D (3, -5)

6. Factorise completely 8p + 125py^3

A. (2p+5y^2)(4+25py)

B. (2+5y)(4-10y+25y^2)

C. (2p+5yx-10py+25y^2)

D. (2+5y)(4+10y+25y^2)

ANSWER: B (2+5y)(4-10y+25y^2)

7. Two fair dice are rolled. What is the probability that both show up the same number of point?

A. 1/36

B. 7/36

C. 1/2

D. 1/6

ANSWER: D (1/6)

8. A bag contains 5 yellow balls, 6 green balls and 9 black balls. A ball is drawn from the bag. What is the probability that it is black or yellow ball

A. 37/160

B. 133/400

C. 7/10

D. 133/800

ANSWER: C (7/10)

9. If x = 1 is the root of the equation x^3 -2x^2- 5x +6, find the other roots

A. -3 and 2

B. 2 and 2

C. 3 and -2

D. 1 and 3

ANSWER: C (3 and -2)

10. If 27^x = 9^(x-y), then the formula connecting x and y is

A. x+2y = 0

B. x-2y = 0

C. x^2+2y^2 = 0

D. x+2y = 1

ANSWER: A ( x+2y = 0 )

11. The expression px^3+2qx^2+24 has x-1 and x+2 as factors. The values of p and q are respectively?

A. -6, -9

B. -2, 1

C. -2, -1

D. 0, 1

ANSWER: A ( -6, -9 )

12. The expression a^3+b^3 is equal to

A. (a^2+b)(a-ab+b^2)

B. (a+b)(a^2-ab+b^2)

C. (a-b)(a^2-ab+b)

D. (a-b)(a^2+ab+b^2)

ANSWER: B (a+b)(a^2-ab+b^2)

13. The interior angles of a pentagon are: 180 degrees, 118 degrees, 78 degrees, 84 degrees, and x. The value of x is?

A. 75 degrees

B. 80 degrees

C. 120 degrees

D. 134 degrees

ANSWER: B (80 degrees)

14. Find the value of k which makes the expression y^2+2(k+1)y+k+3 perfect square

A. -1, 1

B. 2, -2

C. 1, -2

D. -1, 2

ANSWER: C (-2 or 1)

15. Two brothers, Peter and Paul owned a business in which the ratio of shares is 5:3 respectively. Paul later sold 1/3 of his shares to Peter 15, 000 naira. Find the total value of the business.

A. 12000 naira

B. 1200 naira

C. 120000 naira

D. 1200000000 naira

ANSWER: C (120,000 naira)

16 Express, correct to three significant figures, 0.003597.

A. 0.359

B. 0.004

C. 0.00360

D. 0.00359

17. Evaluate: (0.064)^-1/3

A. 5/2

B. 2/5

C. -2/5

D. -5/2

18. Solve: y+1/2 – 2y-1/3 = 4

A. y = 19

B. y = -19

C. y = -29

D. y = 29

19. Musa borrows #10.00 at 2% per month interest and repays #8.00 after 4 months. However much does he still owe?
A. #10.80
B. #10.67
C. #2.80
C. #2.67

20. If 3 gallons of spirit containing 20% water is added to 5gallons of another spirit containing 15% water, what percentage of the mixture is water?
A. 24/5%
B. 167/8%
C. 181/8%
D. 187/8%

see also:

How to Get JAMB Past Questions and Answers on mathematics

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 Tips How to pass JAMB successfully

This post will show you some study tips that will help you to excel in your academics. Relax and read to the end.

  • Read and re-read what you have learnt. Do not only skim and scan. Sit down and do a thorough studying. People tend to forget up to 80% of what they read in just one day. Reading a course 2 to 4 times is very important for deep and lasting impression.
  • For maximum comprehension, you need not hurry over a text. Be patient while studying, don’t be in a hurry while reading.
  • Assess yourself by asking relevant questions on the topic you have read. Make reference to past question papers to know how the questions look like and what to expect during exam. Digest and answer the questions satisfactorily.
  • Form a study group with friends and try to lecture them on the topic you have studied. it helps your subconscious mind internalize the subject matter. Try to share information, it helps a lot.
  • The study group will help you discover some mistakes you might have been making and they will correct you.
  • After each lecture or study group class, go back and study more.
  • When reading, focus on one course or subject at time for effective understanding.
  • Form a timetable for reading. If you are to read Mathematics today, face it and leave other courses except during exam time.
  • Note, we are unique beings. There is a special time we all like reading, Some like reading in the day while some in the midnight, Understand yours and follow it effectively.
  • While studying, employ the PQ3R method. It is important to studying technique. PQ3R- Preview, Question, Read, Recall, Review.

I can categorically tell you that if you follow all the study tips outlined above, passing your exams will very easy for you.

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