JAMB Mathematics Past Questions 2024

10 questions from the JAMB 2024 Mathematics paper, with answers and explanations. Tap "Show answer" under each one when you are ready.

JAMB 2024Question 1 · Algebraic Processes

Evaluate the determinant of the matrix M =

32 - 1 413 6 - 1 5

A.20
B.25
C.30
D.35

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Answer: C. 30

Expanding along row 1: 3(8)-4(9)+6(7)=30.

JAMB 2024Question 2 · Algebraic Processes

If A =

[3422 1 - 1]

and B =

103412

. Find

A^{T}

+ B, ( where T means transpose)

A. $434821$
B. $434 - 8 21$
C. $443 8 - 2 1$
D. $424831$

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Answer: D. $424831$

$A^{T}$ +B = $424831$ .

JAMB 2024Question 3 · Commercial Arithmetic

Find the amount if simple interest is paid yearly at 5% per annum for 3 years, on a principal of ₦200,000.00.

A.₦23,000.00
B.₦30,000.00
C.₦300,000.00
D.₦230,000.00

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Answer: D. ₦230,000.00

Amount=200000(1+0.05×3)=230,000.

JAMB 2024Question 4 · Coordinate Geometry and Trigonometry

P(x, 4) and Q( 10, 8) are two points joined by a straight line in a plane. If the midpoint of the line is (9, 6), find the value of x.

A.12
B.9
C.8
D.7

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Answer: C. 8

(x+10)/2=9 gives x=8.

JAMB 2024Question 5 · Inequalities, Permutation, and Combination

From a class of 5 girls and 7 boys, a committee consisting of 2 girls and 3 boys is to be formed. How many ways can this be done?

A.350 ways
B.420 ways
C.550 ways
D.720 ways

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Answer: A. 350 ways

C(5,2)×C(7,3)=10×35=350.

JAMB 2024Question 6 · Number, Fractions, and Approximation

Simplify

\frac{5 + 7}{3 + 7}

A.17 - $7$
B.4 - $7$
C.7 - $7$
D.15 - $7$

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Answer: B. 4 - $7$

Rationalizing gives (8-2 $7$ )/2=4- $7$ .

JAMB 2024Question 7 · Number, Fractions, and Approximation

(a + 8 a)^{2} = 54 + b 2

, a and b are positive integers. Find the value of a and the value of b.

A.a = 24, b = 6
B.a = 6, b = 2
C.a = 6, b = 24
D.a = 2, b = 6

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Answer: C. a = 6, b = 24

Expanding gives 9a+4a $2$ =54+b $2$ , so a=6, b=24.

JAMB 2024Question 8 · Sequences, Series, and Variation

If B varies inversely as

c^{\frac{1}{3}}

and

C = 27

when

B = 2

, find the value of the constant of proportionality K.

A.3
B.6
C.9
D.12

Show answer

Answer: B. 6

For inverse variation, $B = \frac{k}{C ^{1/3}}$ . Thus $k = B C^{1/3} = 2 \times 3 = 6$ .

JAMB 2024Question 9 · Sets and Binary Operations

A binary operation * is defined on a set of real numbers by x*y =

x^{y}

for all values of x and y, if x * 2 = x, find the possible values of x.

A.0, 2
B.1, 2
C.0, 1
D.2, 2

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Answer: C. 0, 1

x²=x gives x=0 or 1.

JAMB 2024Question 10 · Statistics and Probability

The mean of the numbers 13, 16, x, 18, 21, 2x, 35, is 22. Find the value of x

A.16
B.17
C.23
D.25

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Answer: B. 17

103+3x=154 gives x=17.

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JAMB Mathematics Past Questions 2024

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