Jamb 2024 Maths Likely Question And Answer

An Overview of the 2024 JAMB Mathematics Syllabus

The 2024 JAMB Mathematics Syllabus is divided into five sections, each covering a major branch of mathematics. These sections are:

• Number and Numeration
• Algebra
• Geometry/Trigonometry
• Calculus
• Statistics

Each section contains several topics and sub-topics that you are expected to know and understand. For example, under the section of Number and Numeration, you will find topics such as number bases, fractions, decimals, approximations, percentages, indices, logarithms, surds, and sets. Each topic has a list of objectives that describe what you should be able to do after studying it. For example, under the topic of number bases, one of the objectives is to “perform four basic operations (x,+,-,÷) on numbers in any base”.

The syllabus also provides you with the recommended textbooks that you can use to study and practice each topic. These textbooks are written by reputable authors and publishers, and they cover the syllabus comprehensively and accurately. Some of the recommended textbooks are:

• Adelodun A. A (2000) Distinction in Mathematics: Comprehensive Revision Text, (3rd Edition) Ado -Ekiti: FNPL.
• Anyebe, J. A. B (1998) Basic Mathematics for Senior Secondary Schools and Remedial Students in Higher/ institutions, Lagos: Kenny Moore.
• Channon, J. B. Smith, A. M (2001) New General Mathematics for West Africa SSS 1 to 3, Lagos: Longman.
• David -Osuagwu, M. et al (2000) New School Mathematics for Senior Secondary Schools, Onitsha: Africana – FIRST Publishers.
• Egbe. E et al (2000) Further Mathematics, Onitsha: Africana – FIRST Publishers.

JAMB Past Mathematics Answers

1. The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers
A. p/2
B. 3p/2
C. 5p/2
D. 3p
ANSWER: B (3p/2)

2. A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.
A. 2/3
B. 1/2
C. -1/2
D. -2/3
ANSWER: D ( -2/3) 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. Find the rate of change of the total surface area S of a sphere with respect to its radius r when r = 2
A. 8 B. 16 C. 10 D. 14

5. Differentiate (cosӨ + sinӨ)2 with respect to Ө.
A. 2cos2Ө B. 2sin2Ө C. -2cos2Ө D. -2sin2Ө

6. A binary operation * on the set of rational numbers is defined as x * y = 2x + [x3 – y3/x + y]. find -1*2
A. 11 B. -11 C. 8 D. -8

7. A polynomial in x whose zeroes are 2, 1 and -3 is ______
A. x3 – 7x + 6
B. x3 + 7x – 6
C. x3 – 7x – 6
D. x3 + 7x + 6

8. Find the range of values of x for which 7x – 3 > 3x + 4
A. x < 7/4
B. x > 7/4
C. 7x < 4
D. -4x < 7

9. Some red balls were put in a basket containing 12 white balls and 16 blue balls. If the probability of picking a red ball from the basket is 3/7, how many red balls were introduced?
A. 13 B.20 C. 12 D. 21

10. Convert 12314 to a number in base 6.
A. 1056
B. 3016
C. 1036
D. 5016

11. Find the slope of the curve y = 3×3 + 5×2 – 3 at (-1, 5).
A. 1 B. -1 C. 19 D. -19

12. Find the area of the region bounded by y = x2 + x – 2 and x-axis.
A. 9/2 B. -39/6 C. 8/3 D. 16/3

13. The minimum value of y = x2 – 4x – 5 is ______
A. 2 B. -2 C.13 D. -13

14. There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?
A. 3/4 B. 1/3 C. 2/3 D. 1/4

15. H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.
A. H = p /4y^2 B. H = 2p / y^2 C. H = p / 2 y^2 D. H = p / y^2

16. Solve 4x^2 – 16x + 15
A. X = 1 (1/2) or X = -2 (1/2) B. X = 1 (1/2) or X = 2 (1/2) C. X = 1 (1/2) or X = -1 (1/2) D. X = -1 (1/2) or X = -2 (1/2)

17. If (0.25)^y = 32, find the value of y.
A. y = -5/2 B. y = -3/2 B. y = 3/2 D. y = 5/2.

18. Simplify: log 6 – 3log 3 + 2/3log 27.
A. 3log 2 B. Log 2 C. Log 3 D. 2log 3

19. Bala sold an article for 6,900.00 nairas and made a profit of 15 percent. Calculate his percentage profit if he had sold for 6600.00.
A. 5 percent B. 10 percent C. 12 percent D. 13 percent

20. If 3P = 4Q and 9P = 8Q-12, find the value of PQ.
A. 12 B. 7 C. -7 D. -12

21. Evaluate 0.42 divided by 2.5 /0.5 x 2.05, leaving the answer in standard form.
A. 1.639 x 10^2 B. 1.639 x 10^1 C. 1.639 x 10^-1 D. 1.639 x 10^-2.

22. A husband contributes 7% of his income into a fund and his wife contributes 4% of her income. If the husband earns N5,500 per annum (p.a) and his wife earns N4,000 p.a, find the sum of their contribution
to the fund.
A. N1,045 B. N605 C. N545 D. N490.

23. If the children share N10.50K among themselves in the ratio 6:7:8, How much is the largest share?
A. N3.00 B. N3.50 C. N4.00 D. N4.50.

24. A trader makes a loss of 15% when selling an article. Find the ratio, selling price: cost price.
A. 3:20 B. 3:17 C. 17:20 D. 20:23.

25. The ages of three men are in the ratio 3:4:5. If the difference between the ages of the oldest and youngest is 18 years, find the sum of the ages of the three men.
A. 45 years B. 72 years C. 108 years D. 216 years.

JAMB mathematics is not a difficult task. All you need is to prepare well for the exam. Most of the questions are usually repeated from past questions.