JAMB Mathematics Past Questions 2023

10 questions from the JAMB 2023 Mathematics paper, with answers and explanations. Tap "Show answer" under each one when you are ready.

JAMB 2023Question 1 · Algebraic Processes

Make

x

the subject of the formula:

y = \frac{3 x - 9 c}{4 x + 5 d}

A. $x = \frac{- ( 9 c - 5 d y )}{4 y - 3}$
B. $x = \frac{9 c + 5 d y}{4 y - 3}$
C. $x = \frac{9 c - 5 d y}{4 y - 3}$
D. $x = \frac{- ( 9 c + 5 d y )}{4 y - 3}$

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Answer: D. $x = \frac{- ( 9 c + 5 d y )}{4 y - 3}$

Cross-multiplying and isolating x gives x=-(9c+5dy)/(4y-3).

JAMB 2023Question 2 · Algebraic Processes

If -

2 x^{3}

6 x^{2}

+ 17x - 21 is divided by (x + 1), then the remainder is

A.32
B.30
C.-30
D.-32

Show answer

Answer: C. -30

f(-1)=2+6-17-21=-30.

JAMB 2023Question 3 · Calculus

Differentiate

y = 3 x^{2} (2 x - x^{2})

A. $\frac{d y}{d x} = \frac{10 x ^{5/3}}{3} - \frac{8 x ^{2/3}}{3}$
B. $\frac{d y}{d x} = \frac{10 x ^{2/3}}{3} - \frac{8 x ^{5/3}}{3}$
C. $\frac{d y}{d x} = \frac{10 x ^{5/3}}{3} - \frac{8 x ^{5/3}}{3}$
D. $\frac{d y}{d x} = \frac{10 x ^{2/3}}{3} - \frac{8 x ^{2/3}}{3}$

Show answer

Answer: B. $\frac{d y}{d x} = \frac{10 x ^{2/3}}{3} - \frac{8 x ^{5/3}}{3}$

$y = 2 x^{5/3} - x^{8/3}$ , so $\frac{d y}{d x} = \frac{10}{3} x^{2/3} - \frac{8}{3} x^{5/3}$ .

JAMB 2023Question 4 · Coordinate Geometry and Trigonometry

Find the value of t, if the distance between the points P(–3, –14) and Q(t, –5) is 9 units.

A.3
B.2
C.- 3
D.- 2

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Answer: C. - 3

(t+3)²+81=81 gives t=-3.

JAMB 2023Question 5 · Geometry and Mensuration

The interior angle of a regular polygon is five times the size of its exterior angle. Identify the polygon.

A.dodecagon
B.enneadecagon
C.icosagon
D.hendecagon

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Answer: A. dodecagon

5E+E=180 gives E= $3 0^{\circ}$ ; sides= $\frac{360}{30}$ =12 (dodecagon).

JAMB 2023Question 6 · Inequalities, Permutation, and Combination

How many different 8 letter words are possible using the letters of the word SYLLABUS?

A.(8 - 1)!
B. $\frac{8 !}{2 !}$
C. $\frac{8 !}{2 ! 2 !}$
D.8!

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Answer: C. $\frac{8 !}{2 ! 2 !}$

SYLLABUS has S×2 and L×2: 8!/(2!2!).

JAMB 2023Question 7 · Number, Fractions, and Approximation

Evaluate:

1 6^{0.16}

1 6^{0.04}

2^{0.2}

A.2
B.0
C. $2^{0}$
D. $\frac{1}{2}$

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Answer: A. 2

$1 6^{0} .2$ × $2^{0} .2$ = $2^{0} .8$ × $2^{0} .2$ = $2^{1}$ =2.

JAMB 2023Question 8 · Number, Fractions, and Approximation

\frac{3 - 3}{2 + 3} = a + b 3

, what are the values of a and b?

A.a = 9, b = -5
B.a = 5, b = 9
C.a = 9, b = 5
D.a = -5, b = 9

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Answer: A. a = 9, b = -5

Rationalizing gives 9-5 $3$ , so a=9, b=-5.

JAMB 2023Question 9 · Sequences, Series, and Variation

What is the general term of the sequence 3, 8, 13, 18, ...?

A.5n - 2
B.5n + 2
C.5
D.5n

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Answer: A. 5n - 2

d=5, a=3; nth term=5n-2.

JAMB 2023Question 10 · Sets and Binary Operations

If A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find (A – B) ⋃ (B – A).

A.{1, 3, 5, 8}
B.{8}
C.{1, 2, 3, 4, 5, 6, 8}
D.{1, 3, 5}

Show answer

Answer: A. {1, 3, 5, 8}

(A-B)∪(B-A) = {1,3,5}∪{8} = {1,3,5,8}.

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JAMB Mathematics Past Questions 2023

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