JAMB Mathematics Past Questions 2022

10 questions from the JAMB 2022 Mathematics paper, with answers and explanations. Tap "Show answer" under each one when you are ready.

JAMB 2022Question 1 · Algebraic Processes

If A =

221132

and B =

[3422]

. Find AB

A. $1812106106$
B. $1013126106$
C. $1012116106$
D. $1018116106$

Show answer

Answer: D. $1018116106$

Matrix multiplication AB= $1018116106$ .

JAMB 2022Question 2 · Calculus

Integrate

(2 x + 1)^{3}

A. $\frac{2 x + 1 ^{3}}{8}$ + C
B. $\frac{2 x + 1 ^{4}}{8}$ + C
C. $\frac{2 x + 1 ^{4}}{4}$ + C
D. $\frac{2 x + 1 ^{2}}{6}$ + C

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Answer: B. $\frac{2 x + 1 ^{4}}{8}$ + C

∫(2x+1)³dx = (2x+1)⁴/8+C.

JAMB 2022Question 3 · Commercial Arithmetic

If a dress is sold for #3800.00 at 20% discount. what is its original price?

A.#3,000.00
B.#4,000.00
C.#5,000.00
D.#4,750.00

Show answer

Answer: D. #4,750.00

$\frac{3800}{0.8}$ =4750.

JAMB 2022Question 4 · Coordinate Geometry and Trigonometry

Find the equation of a straight line parallel to the line 2x - y = 5 and having intercept of 5

A.2x + y = 5
B.2x + y = -5
C.2x - y = -5
D.2x - y = 5

Show answer

Answer: C. 2x - y = -5

Parallel line with y-intercept 5: 2x-y=-5.

JAMB 2022Question 5 · Geometry and Mensuration

A rectangular pyramid has an area

24 c m^{2}

and height

7.5 cm

. Find its volume?

A. $65.0 c m^{3}$
B. $70.5 c m^{3}$
C. $56.5 c m^{3}$
D. $60.0 c m^{3}$

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Answer: D. $60.0 c m^{3}$

Volume=( $\frac{1}{3}$ )(24)(7.5)= $60 cm$ ³.

JAMB 2022Question 6 · Number, Fractions, and Approximation

Solve for

k

in the equation

(\frac{1}{8})^{k + 2} = 1

A.2
B.-4
C.-2
D.4

Show answer

Answer: C. -2

Any nonzero base to the power 0 equals 1: k+2=0, so k=-2.

JAMB 2022Question 7 · Number, Fractions, and Approximation

Evaluate

L o g_{2}

2

A.3.0
B.4.5
C.3.5
D.2.5

Show answer

Answer: C. 3.5

log2(8 $2$ )=log2(8)+log2( $2$ )=3+0.5=3.5.

JAMB 2022Question 8 · Number, Fractions, and Approximation

The equivalent of

(10110.011)_{2}

in base 10 is?

A.26.325
B.24.372
C.42.443
D.22.375

Show answer

Answer: D. 22.375

10110.011₂ = 22 + 0.375 = 22.375.

JAMB 2022Question 9 · Sequences, Series, and Variation

If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12

Show answer

Answer: B. 1

k=xy=12; x= $\frac{12}{12}$ =1 when y=12.

JAMB 2022Question 10 · Statistics and Probability

If a fair coin is tossed twice, what is the probability of obtaining at least one head?

A.0.25
B.0.75
C.0.5
D.0.33

Show answer

Answer: B. 0.75

P(at least one head)=1- $\frac{1}{4}$ =3/4.

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JAMB Mathematics Past Questions 2022

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