JAMB Mathematics Past Questions 2018

10 questions from the JAMB 2018 Mathematics paper, with answers and explanations. Tap "Show answer" under each one when you are ready.

JAMB 2018Question 1 · Algebraic Processes

Solve for t in the equation

\frac{3}{4}

t +

\frac{1}{3}

(21 - t) = 11

A. $\frac{9}{13}$
B. $\frac{7}{13}$
C.5
D.9 $\frac{3}{5}$

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Answer: D. 9 $\frac{3}{5}$

Multiplying by 12 gives 5t=48, so t=9⅗.

JAMB 2018Question 2 · Calculus

Integrate the expression

6 x^{2}

- 2x + 1

A. $3 x^{3}$ - $2 x^{2}$ + x + c
B. $2 x^{3}$ - $x^{2}$ + x + c
C. $2 x^{3}$ – $3 x^{2}$ + c
D. $x^{3}$ + $x^{2}$ – x + c

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Answer: B. $2 x^{3}$ - $x^{2}$ + x + c

∫(6x²-2x+1)dx = 2x³-x²+x+c.

JAMB 2018Question 3 · Coordinate Geometry and Trigonometry

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. $\frac{15}{17}$
B. $\frac{9}{17}$
C. $\frac{8}{15}$
D. $\frac{12}{17}$

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Answer: A. $\frac{15}{17}$

Space diagonal=17, floor diagonal=15; cos = 15/17.

JAMB 2018Question 4 · Coordinate Geometry and Trigonometry

Given that Sin

(5_{x} - 28)^{o}

= Cos

(3_{x} - 50)^{o}

, o < x <

9 0^{o}

Find the value of x

A. $1 4^{o}$
B. $2 1^{o}$
C. $3 2^{o}$
D. $3 9^{o}$

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Answer: B. $2 1^{o}$

5x-28=140-3x (co-function identity) gives x=21.

JAMB 2018Question 5 · Geometry and Mensuration

How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m?

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Answer: A. 3

Circumference=π×100≈314.16m; $\frac{1000}{314.16}$ ≈3 laps.

JAMB 2018Question 6 · Number, Fractions, and Approximation

y = (23)_{5} + (101)_{3}

, find

y

, leaving your answer in base two.

A. $(1110)_{2}$
B. $(10111)_{2}$
C. $(11101)_{2}$
D. $(111100)_{2}$

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Answer: B. $(10111)_{2}$

$(23)_{5} = 13$ and $(101)_{3} = 10$ . Hence $y = 23 = (10111)_{2}$ .

JAMB 2018Question 7 · Number, Fractions, and Approximation

What is the place value of 9 in the number 3.0492?

A. $\frac{9}{10000}$
B. $\frac{9}{1000}$
C. $\frac{9}{100}$
D. $\frac{9}{10}$

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Answer: B. $\frac{9}{1000}$

In 3.0492, 9 is in the thousandths place = 9/1000.

JAMB 2018Question 8 · Number, Fractions, and Approximation

\frac{0.00256 \times 0.0064}{0.025 \times 0.08}

A. $8.8 \times 1 0^{- 1}$
B. $8.8 \times 1 0^{- 2}$
C. $8.2 \times 1 0^{- 3}$
D. $8.8 \times 1 0^{3}$

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Answer: C. $8.2 \times 1 0^{- 3}$

(0.00256×0.0064)/(0.025×0.08) ≈ 8.2×10⁻³.

JAMB 2018Question 9 · Number, Fractions, and Approximation

Evaluate (2

3

- 4) (2

3

+ 4)

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

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Answer: A. -4

(2 $3$ )²-4² = 12-16 = -4.

JAMB 2018Question 10 · Sequences, Series, and Variation

A man's initial salary is N540.00 a month and increases after each period of six months by N36.00. Find his salary in the eight month of the third year.

A.N828.00
B.N756.00
C.N720.00
D.N684.00

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Answer: C. N720.00

Month 32 falls in the 720-salary period (months 31-36).

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