Jamb Mathematics exam questions and answers for free for all Jamb candidates are now available. The Jamb mathematics exam questions are now trending online, you can use them for guidelines to study.

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If you have not still covered the 2023 Jamb Mathematics syllabus kindly do because Jamb we set questions from the syllabus. You only need to read using the JAMB Mathematics syllabus as a guide to know the JAMB topics to cover before the Jamb exam day.

Having said that, let’s quickly go to Jamb Mathematics questions and answers. Use them to prepare for the JAMB mock and examination.

### Jamb Mathematics Exam Questions and Answers

1. In a class of 40 students, 32 offer Mathematics, 24 offer Physics, and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?

A 4

B 8

C 16

D 20

Correct Answer: D

2. If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6

A 5/8

B 5/16

C 1/2

D 3/8

Correct Answer: D

3. Evaluate (101.5)^{2} – (100.5)^{2}

**A.** 1

**B.** 2.02

**C.** 20.02

**D.** 202

Correct Answer: D

4. If the value of is taken to be , the area of a semi-circle of diameter 42m is

A. 5544m2

B. 1386m2

C. 693M2

D. 264m2

Correct Answer: C

5. After getting a rise of 15%, a man’s new monthly salary is N345. How much per month did he earn before the increase?

A. N330

B. N396.75

C. N300

D. N293.25

Correct Answer: C

6. The annual profits of a transport business were divided between partner’s A and B in the ratio 3: 5. If B received N3000 more than A, the total profit was

A. N5000

B. N12000

C. N1800

D. N24000

Correct Answer: B

7. x is directly proportional to y and inversely proportional to z. If x = 9 when y = 24 and z = 8, what is the value of x when y = 5 and z = 6?

A. 5/6

B. 11

C. 3 3/5

D. 2 1/2

Correct Answer: D

8. The solution of the equation x² – 2x = 8 is

A. x = 0 or 2

B. x = -2 or 4

C. x = 2

D. x = -4

E. x = 2 or 4

Correct Answer: B

9. A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?

A. 25

B. 19

C. 18

D. 17

Correct Answer: A

10. The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A. 148m

B. 382m

C. 282m

D. 248m

Correct Answer: C

11. A binary operation is defined by M⊗N = Mn + M – N on the set of real numbers, for all m, n

£ R. Find the value of 3⊗(2⊗4).

A. 6

B. 15

C. 25

D. 18

Correct Answer: B

12. In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

A. 42

B. 20

C. 70

D. 54

Correct Answer: C

13. Simplify 2log2/5 – log72/125 + log9

A. 1 – 4log 3

B. –1 + 2log3

C. –1 +5log2

D. 1-2log2

Correct Answer: A

14. If a fair coin is tossed 3 times, what is the probability of getting at least two heads?

A. 2/3

B. 4/5

C. 2/5

D. 1/2

Correct Answer: D

15. Find the length of the chord |AB| in the diagram shown below.

A. 4.2 cm

B. 3.4 cm

C. 3.2 cm

D. 4.3 cm

Correct Answer: B

16. In how many ways can the word MATHEMATICIAN be arranged?

**A.** 6794800 ways

**B.** 129729600 ways

**C.** 6227020800 ways

**D.** 2664910 ways

Correct Answer: B

17. From the cyclic quadrilateral MNOP belwo, find the value of x.

**A.** 16°

**B.** 25°

**C.** 42°

**D.** 39°

Correct Answer: D

18. Find the value of X if if if √2/x+2√2=√ 1/x−√2

A. 3√2+4

B. 3√2-4

C. 3-2√2

D. 4+2√2

Correct Answer: A

19. 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

Correct Answer: B

20. 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

Correct Answer: D

21. Factorize completely x2+2xy+y2+3x+3y−18

A. (x+y+6)(x+y-3)

B. (x-y-6)(x-y+3)

C. (x-y+6)(x-y-3)

D. (x+y-6)(x+y+3)

22. Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X.

A. 4≤X≤5

B. 5≤X≤8

C. 5≤X≤10

D. 8≤X≤10

Correct Answer: C

23. The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.

A. 8/5

B. 8/3

C. 72/25

D. 56/9

Correct Answer: C

24. Divide 4×3- 3x + 1 by 2x – 1

A. 2×2-x+1

B. 2×2-x-1

C. 2×2+x+1

D. 2×2+x-1

Correct Answer: D

25. Find a positive value of α if the coordinate of the centre of a circle x2 + y2 – 2αx + 4y – α = 0 is (α, -2) and the radius is 4 units.

A. 1

B. 2

C. 3

D. 4

Correct Answer: C

26. In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP.

A. 4.8 units

B. 7.2 units

C. 8.0 units

D. 18.0 units

Correct Answer: B

27. 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

Correct Answer: C

28. From a point P, the bearings of two points Q and R are N670W and N230E respectively. If the bearing of R from Q is N680E and PQ = 150m, calculate PR

A. 120m

B. 140m

C. 150m

D. 160m

Correct Answer: C

29. Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)

A. 2x + 2y = 9

B. 2x + 3y = 8

C. 2x + y = 9

D. x + 2y = 8

Correct Answer: D

30. Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

A. 81 π cubic units

B. 36 π cubic units

C. 18 π cubic units

D. 9 π cubic units

Correct Answer: B

31. What is the derivative of t2 sin (3t – 5) with respect to t?

A. 6t cos (3t – 5)

B. 2t sin (3t – 5) – 3t2 cos (3t – 5)

C. 2t sin (3t – 5) + 3t2 cos (3t – 5)

D. 2t sin (3t – 5) + t2 cos 3t

Correct Answer: C

32. Evaluate ∫1−2(x−1)2dx

A. −103

B. 7

C. 9

D. 11

Correct Answer: C

33. Find the value of x for which the function y = x3 – x has a minimum value.

A. –√3

B. −√3/3

C. √3/3

D. √3

Correct Answer: C

34. If the minimum value of y = 1 + hx – 3×2 is 13, find h.

A. 13

B. 12

C. 11

D. 10

Correct Answer: B

35. Let P = {1, 2, u, v, w, x}; Q = {2, 3, u, v, w, 5, 6, y} and R = {2, 3, 4, v, x, y}.

Determine (P-Q) ∩ R

A. {1, x}

B. {x y}

C. {x}

D. ɸ

Correct Answer: C

36. If the population of a town was 240,000 in January 1998 and it increased by 2% each year, what would be the population of the town in January, 2000?

A. 480,000

B. 249,696

C. 249,600

D. 244,800

Correct Answer: B

37. A man wishes to keep his money in a savings deposit at 25% compound interest so that after three years he can buy a car for N150,000. How much does he need to deposit?

A. N112,000.50

B. N96,000.00

C. N85,714.28

D. N76,800.00

Correct Answer: D

38. The 3rd term of an A.P is 4x – 2y and the 9th term is 10x – 8y. Find the common difference.

A. 19x – 17y

B. 8x – 4y

C. x – y

D. 2x

Correct Answer: C

39. if (x – 1), (x + 1) and (x – 2) are factors of the polynomial ax3 + bx2 + cx – 1, find a, b, c in that order.

A. -1/2, 1., 1/2

B. 1/2, 1, 1/2

C. 1/2, 1, -1/2

D. 1/2, -1, 1/2

Correct Answer: A

40. A trader realizes 10x – x² naira profit from the sale of x bags on corn. How many bags will give him the desired profit?

A. 4

B. 5

C. 6

D. 7

Correct Answer: B

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