Mathematics Past Questions

Mathematics Past Questions – Mathematics past questions is a compilation of all questions that have been asked during examination over the years. Of all the subjects offered in school, mathematics tends to be one of the most difficult subjects for students especially those who do not have a proper foundation in mathematics.

It is a sad incident how candidates fail woefully in mathematics notwithstanding the efforts parents make to see them grasp the concept of mathematics.

Mathematics Past Questions Pattern

• You will be able to recognize and respond to repeated inquiries with ease and speed.
  
• The quantity of questions you’ll encounter on the exams will be made known to you.
  
• The answers to this earlier question have already been arranged in the correct order.

Mathematics Past Questions SAMPLE

Note: The questions below are strictly for practice.

1. 1.The expression ax^2 + bx takes the value 6 when x = 1 and 10 when x = 2. Find its values when x = 5
2. 10
3. 12 Jamb form 
4. 6
5. -10

ANSWER: A (10)

2. The indefinite integral of xe^x, for any real constant is
3. C
4. x + e^x + C
5. x^2 + e^x + C
6. 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
4. 12 pi cm^2
5. 20 pi cm^2
6. 24 pi cm^2
7. 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
5. 12
6. -12
7. -6
8. 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
6. 5, 2
7. 2, -5
8. -5, 3
9. 3, -5

ANSWER: D (3, -5)

6. Factorise completely 8p + 125py^3
7. (2p+5y^2)(4+25py)
8. (2+5y)(4-10y+25y^2)
9. (2p+5yx-10py+25y^2)
10. (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 points?
8. 1/36
9. 7/36
10. 1/2
11. 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 a black or yellow ball
9. 37/160
10. 133/400
11. C.7/10
12. 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
10. -3 and 2
11. 2 and 2
12. 3 and -2
13. 1 and 3

ANSWER: C (3 and -2)

10. If 27^x = 9^(x-y), then the formula connecting x and y is
11. x+2y = 0
12. x-2y = 0
13. x^2+2y^2 = 0
14. 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?
12. -6, -9
13. -2, 1
14. -2, -1
15. 0, 1

ANSWER: A ( -6, -9 )

12. The expression a^3+b^3 is equal to
13. (a^2+b)(a-ab+b^2)
14. (a+b)(a^2-ab+b^2)
15. (a-b)(a^2-ab+b)
16. (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?
14. 75 degrees
15. 80 degrees
16. 120 degrees
17. 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
15. -1, 1
16. B.2, -2
17. 1, -2
18. -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.
16. 12000 naira
17. 1200 naira
18. 120000 naira
19. 1200000000 naira

ANSWER: C (120,000 naira)

16 Express, correct to three significant figures, 0.003597.

1. 359
2. 004
3. 00360
4. 00359
5. Evaluate:  (0.064)^-1/3
6. 5/2
7. 2/5
8. -2/5
9. -5/2
10. Solve:  y+1/2 – 2y-1/3 = 4
11. y = 19
12. y = -19
13. y = -29
14. y = 29
15. Musa borrows #10.00 at 2% per month interest and repays #8.00 after 4 months. How much does he still owe?
    #10.80
    B. #10.67
    C. #2.80
    C. #2.67
16. If 3 gallons of spirit containing 20% water is added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?
    24/5%
    B. 167/8%
    C. 181/8%
    D. 187/8%

7 Tips to Prepare for Mathematics Exams

1. Don’t make reading your hobby: A lot of people put reading as a hobby in their CV, they might be right because they have finished schooling. But “You” are still schooling, so reading should be a top priority, not a hobby. Read far and wide to enhance your level of aptitude
2. Get Exams Preparation Materials: These involve textbooks, dictionaries, Babcock University Post UTME Past Questions and Answers, mock questions, and others. These materials will enhance your mastery of the scope of the exams you are expecting.
3. Attend Extramural Classes: Register and attend extramural classes at your location. This class will help you refresh your memory and boost your classroom understanding and discoveries of new knowledge.
4. Sleep when you feel like: When you are preparing for any exams, sleeping is very important because it helps in the consolidation of memory. Caution: Only sleep when you feel like it and don’t oversleep.
5. Make sure you are healthy: Sickness can cause excessive feelings of tiredness and fatigue and will not allow you to concentrate on reading. If you are feeling as if you are not well, report to your parent, a nurse, or a doctor. Make sure you are well.
6. Eat when you feel like it: During the exam preparation period, you are advised not to overeat, and to avoid sleep. You need to eat little and light food whenever you feel like eating. Eat more fruits, drink milk and glucose. This will help you enhance retention.
7. Reduce your time on social media: Some people live their entire lives on Facebook, Twitter, WhatsApp, Messenger chat. This is so bad and catastrophic if you are preparing for exams. Try and reduce your time spent on social media during this time. Maybe after the exams, you can go back and sleep in it.

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