Mathematics JAMB Past Questions and Answers 2024 [Download]

This is for UTME Candidates looking for JAMB Mathematics Past Questions and Answers 2024. Especially for those aspiring for Engineering Sciences, Physical Sciences and a few other courses in Bus Admin, Economics and a few other courses requiring Mathematics in JAMB. Here you will get genuine Mathematics JAMB questions and answers for 2024. Your duty now is to read through them as many times as possible and get ready to smash your Mathematics paper.

What are JAMB Mathematics Past Questions and Answers 2024

JAMB Mathematics Past Questions and Answers 2024 are the questions that appeared in the Mathematics paper in the 2024 UTME, together with their answers.

Every candidate preparing to sit for Mathematics in the forthcoming JAMB examination must catch a glimpse of these past questions.

In so doing, they will understand the current nature of the exam and know what to expect in the JAMB CBT hall. Knowing exactly what to expect will boost their confidence and give them a high score.

JAMB Mathematics Past Questions and Answers 2024

On this page, we shall give you a genuine compilation of JAMB Mathematics Past Questions and Answers 2024 for your revision.

In the midst of different JAMB preparatory materials flying around, this genuine and accurate compilation is our effort to see you excel in your JAMB examination and gain admission at last.

In the following sections, you will study the Mathematics past questions for 2024 JAMB exam as well as their answers. You can use the comments section if you need clarification on some of the questions. We will give you a more detailed explanation.

Read Also: Learn the Laws of Indices in Mathematics

JAMB Mathematics Past Questions and Answers 2024 [Numbers 1 – 10]

1. Okey, Akpan and Toye agreed to set up a mini-business. Okey contributed ⅓ of the capital, Akpan ⅙, and Toye ₦8,400. What is the capital?
A. ₦7,200           B. ₦25,200
C. ₦16,800         D. ₦8,400

2. Factorise 81a³ – 24b⁶.
A. 2(3a – 2b2)(3a2 + 6ab2 + 2b4)
B. 3(3a – 2b2)(9a2 + 6ab2 + 4b4)
C. 2(2a2– 3b2)(4a2 + 3ab2 + 2b2)
D. 9(9a – 2b3)(9a2 + 6ab2 + 2b4)

3. Given that log2 = 0.69, log3 = 1.10 and log7 = 1.90 all to a fixed base, find log10.5 to the same base, without using tables.
A. 3            B. 3.69
C. 2.31        D. 2.41

4. Solve the simultaneous linear equations: 2x + 5y = 11 and 7x + 4y = -2.
A. x = 2, y = 3
B. x = -2, y = 3
C. x = 3, y = -2
D. x = -4, y = 81

5. In a class of 120 students, 18 of them scored an A grade in Mathematics. If the section representing the A grade students on a pie chart has an x° as the centre of the circle, what is x°?
A. 10           B. 20
C. 30           D. 40

6. At what real value of x do the curves whose equations are y = x³ + x and y = x² + 1 intersect?
A. -2            B. 2
C. 1             D. -1

7. If a = u² – 3v² and b = 2uv + v², evaluate (2a – b)(a – b²) when u = 1 and v = -1.
A. 11           B. 15
C. 27           D. 9

8. The nth term of a sequence is (-1)^n-1(2)ⁿ⁺¹, find the sum of the 2nd and 4th terms.
A. 40           B. -40
C. -8           D. -32

9. A binary operation ⊗ is defined over a set of real numbers by x ⊗ y = xy + x + y.
Find 3 ⊗ (-⅔).
A. -⅔           B. -1
C. 2              D. ⅓

10. ENACTUS has 7 different posters to be hung in her office, kitchen and entrance. Assuming she has plans to place, at least, a poster in each of the 3 locations, how many choices does she have?
A. 210            B. 49
C. 170            D. 21

Answers to Mathematics Question Number 1 – 10

1.C   2.B   3.C   4.B   5.D
6.C   7.D   8.B   9.D  10.A

JAMB Mathematics Past Questions and Answers 2024 [Numbers 11 – 20]

11. If the interior angles of a hexagon are 107°, 2x°, 150°, 95°, (2x – 15)° and 123^o. Find x.
A. 80             B. 110
C. 90             D. 50

12. An arc of a circle subtends an angle 70^o at the centre. If the radius of the circle is 6 cm, calculate the area of the sector subtended by the given angle.
A. 22 cm²          B. 44 cm²
C. 66 cm²          D. 88 cm²

13. If sec²θ + tan²θ = 3, then the angle θ is equal to
A. 30^o       B. 45^o
C. 60^o       D. 90^o

14. On a pie chart, there are four sectors of which three angles are 45°, 90° and 135°. If the smallest sector represents ₦28,00, how much is the largest sector?
A. ₦6,000          B. ₦84,000
C. ₦48,000        D. ₦42,000

15. Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women
A. 3             B. 6
C. 18           D. 24

16. A bag contains 5 black balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red ball are picked?
A. 15/28          B. 13/28
C. 5/14            D. 3/14

17. If x is the sum of the prime numbers between 1 and 6, and y the HCF of 6, 9, 15, find the product of x and y.
A. 27           B. 30
C. 33           D. 90%

18. A 5.0g of salt was weighed by Vera as 5.1g. What is the percentage error?
A. 20%           B. 2%
C. 1%             D. 0.2%

19. Two brothers, John and Tim, own a store. The ratio of John’s share to Tim’s is 11:9. Later, Tim sells two-third of his share to John for ₦720.00. Find the value of the store.
A. ₦I,080.00          B. ₦2,400.00
C. ₦3,000.00         D. ₦3,600.00

20. Four interior angles of a pentagon are (90 – x)^o, (90 + x)^o, (110 – 2x)^o, (110 + 2x)^o. Find the fifth interior angle.
A. 110°           B. 120°
C. 130°           D. 140°

Answers to Mathematics Question Number 11 – 20

11.C   12.A   13.B   14.B   15.C
16.A   17.B   18.B   19.B   20.D

JAMB Mathematics Past Questions and Answers 2024 [Numbers 21 – 30]

21. If x + 1 is a factor of a + 3x + 3x² + bx³ and the remainder when this expression is divided by x + 2, is 20, find the values of a and b.
A. +2 and -2
B. -2 and -2
C. -2 and +2
C. +2 and +2

22. 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

23. Find the tangent to the acute angle between the lines 2x + y = 3 and 3x – 2y = 5.
A. -7/4           B. 7/8
C. 7/4             D. 7/2

24. What value of x makes 3^{2(x – 1}) – 8(3^{x – 2}) = 1 a valid equation?
A. 1               B. -1
C. 2               D. -2

25. If the volume of a hemisphere is increasing at a steady rate of 18π m³ s⁻¹, at what rate is its radius changing when its is 6m?
A. 2.50 m/s             B. 2.00 m/s
C. 0.25 m/s             D. 0.20 m/s

26. One root of the equation 27x² + bx + 8 = 0 is known to be the square of the other. Find b.
A. –30           B. 60
C. 90             D. 36

27. X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.
A. 0.30           B. 0.50
C. 0.57           D. 1.80

28. If the mean of the numbers 4, 3, 5, x, 7 is 5, find the variance.
A. 2             B. 10
C. √2           D. 5

29. If ⁶P_r = 6, find the value of ⁶P_{r + 1}
A. 30           B. 33
C. 35           D. 15

30. The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?
A. 12            B. 20
C. 40            D. 10

Answers to Mathematics Question Number 21 – 30

21.B   22.B   23.C   24.C   25.C
26.A   27.A   28.A   29.A   30.A

JAMB Mathematics Past Questions and Answers 2024 [Numbers 31 – 40]

31. Find the derivative of (2x + 4)(3x – 1) with respect to x.
A. 4x² – 4x + 1          B. 12x + 10
C. 2x – 1                    D. 8x – 4

32. Find the value of α² + β² if α + β = 2 and the distance between points (1, α) and (β, 1) is 3 units
A. 14               B. 3
C. 5                 D. 11

33. Evaluate (212)₃ – (121)₃ + (222)₃
A. (313)₃           B. (1000)₃
C. (1020)₃         D. (1222)₃

34. A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.
A. 15/17         B. 8/17
C. 8/15           D. 12/17

35.

Age in years	7	8	9	10	11
No of pupils	4	13	30	44	9

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is
A. 48.6°          B. 56.3°
C. 46.8°          D. 13°

36. If f(x) = 3x³ + 4x² + x − 8, what is the value of f(-2)?
A. -24          B. 30
C. -18          D. -50

37. A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm², find the distance between the parallel sides.
A. 3 cm        B. 4 cm
C. 6 cm        D. 7 cm

38. If x + 1 is a factor of the polynomial 5x² – 4px + 3, find the value of p.
A. ½      B. 2     C. -2    D. -½

39. Find the point of intersection of the lines 2x + 3y – 21 = 0 and x – 2y – 7 = 0.
A. (9, 1)               B. (1, 9)
C. (15/2 , 2)         D. (-9, -1)

40. Find the value of n if 13_n + 24_n = 41_n
A. 8    B. 7    C. 6    D. 5

Answers to Mathematics Question Number 31 – 40

31.B   32.D   33.C   34.A   35.C
36.C   37.A   38.C   39.A   40.C

Read Also: 20 JAMB Most Repeated Topics in Mathematics Exams

Conclusion

So here you have the 40 Mathematics Questions that appeared in 2024 JAMB examination. Read them again and again. Ensure that you get very familiar with each of them such that you can readily recognize them at any time. The reason for the advice is that they are likely questions for the forthcoming JAMB exam.

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