JAMB Mathematics Past Questions 2014

10 questions from the JAMB 2014 Mathematics paper, with answers and explanations. Tap "Show answer" under each one when you are ready.

JAMB 2014Question 1 · Algebraic Processes

If gt2 - k - w = 0, make g the subject of the formula

A. $\frac{k + w}{t ^{2}}$
B. $\frac{k - w}{t ^{2}}$
C. $\frac{k + w}{t}$
D. $\frac{k - w}{t}$

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Answer: A. $\frac{k + w}{t ^{2}}$

gt²=k+w, so g=(k+w)/t².

JAMB 2014Question 2 · Algebraic Processes

Find y, if

[52 - 6 - 7]

[x y]

[7 - 11]

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Answer: C. 3

Solving the simultaneous equations gives y=3.

JAMB 2014Question 3 · Calculus

Evaluate

\int sin 2 x d x

A.cos 2x + k
B. $\frac{1}{2}$ cos 2x + k
C.- $\frac{1}{2}$ cos 2x + k
D.-cos 2x + k

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Answer: C. - $\frac{1}{2}$ cos 2x + k

∫sin2x dx = -½cos2x + k.

JAMB 2014Question 4 · Commercial Arithmetic

A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?

A.N40,500
B.N45,000
C.N52,500
D.N62,000

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Answer: B. N45,000

4500 is 10% of income, so income=45,000.

JAMB 2014Question 5 · Coordinate Geometry and Trigonometry

What is the equation of the line that passes through the y-axis at (0,5) and the x-axis at (5,0)?

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

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Answer: B. y = -x + 5

Slope = (0-5)/(5-0) = -1; with y-intercept 5, the equation is y = -x + 5.

JAMB 2014Question 6 · Geometry and Mensuration

If the angle of a sector of a circle with radius

10.5 cm

12 0^{\circ}

, find the perimeter of the sector. [Take pi =

\frac{22}{7}

]

A. $48 cm$
B. $40 cm$
C. $43 cm$
D. $45 cm$

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Answer: C. $43 cm$

Arc length=22; perimeter=22+21= $43 cm$ .

JAMB 2014Question 7 · Number, Fractions, and Approximation

Find the value of

(110111)_{2} + (10100)_{2}

A. $(1101011)_{2}$
B. $(1001001)_{2}$
C. $(1001011)_{2}$
D. $(1001111)_{2}$

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Answer: C. $(1001011)_{2}$

$(110111)_{2} = 55$ and $(10100)_{2} = 20$ . Their sum is $75 = (1001011)_{2}$ .

JAMB 2014Question 8 · Number, Fractions, and Approximation

Simplify

\frac{2 2 - 3}{2 + 3}

A.3 $6$ - 7
B.3 $6$ + 7
C.3 $6$ - 1
D.3 $6$ + 1

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Answer: A. 3 $6$ - 7

Rationalizing gives (7-3 $6$ )/(-1) = 3 $6$ -7.

JAMB 2014Question 9 · Sequences, Series, and Variation

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.

A.89
B.75
C.73
D.69

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Answer: C. 73

d=3, a=4; 24th term = 4+23(3) = 73.

JAMB 2014Question 10 · Statistics and Probability

The mean of 2 - t, 4 + t, 3 - 2t, 2 + t and t - 1 is

A.t
B.-t
C.2
D.-2

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Answer: C. 2

Sum of the five expressions = 10; mean = 2.

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JAMB Mathematics Past Questions 2014

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