JAMB Mathematics Past Questions 2016

10 questions from the JAMB 2016 Mathematics paper, with answers and explanations. Tap "Show answer" under each one when you are ready.

JAMB 2016Question 1 · Algebraic Processes

Solve for x and y respectively 3x - 5y = 9 6x - 4y = 12

A. $\frac{3}{4}$ , 1
B. $\frac{4}{3}$ , 1
C. $\frac{3}{4}$ , -1
D. $\frac{4}{3}$ , -1

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Answer: D. $\frac{4}{3}$ , -1

Solving simultaneously gives x= $\frac{4}{3}$ , y=-1.

JAMB 2016Question 2 · Calculus

Evaluate

\int (cos 4 x + sin 3 x) d x

A.sin4x - cos3x + k
B.sin4x + cos3x + k
C. $\frac{1}{4}$ sin4x - $\frac{1}{3}$ cos3x + k
D. $\frac{1}{4}$ sin4x + $\frac{1}{3}$ cos3x + k

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Answer: C. $\frac{1}{4}$ sin4x - $\frac{1}{3}$ cos3x + k

∫(cos4x+sin3x)dx = ¼sin4x - ⅓cos3x + k.

JAMB 2016Question 3 · Calculus

Evaluate

\int (sin x - 5 x^{2}) d x

A.-cosx - 10x + k
B.cosx - $\frac{5 x ^{3}}{3}$ + k
C.-cosx - $\frac{5 x ^{3}}{3}$ + k
D.cosx - 10x + k

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Answer: C. -cosx - $\frac{5 x ^{3}}{3}$ + k

∫(sinx-5x²)dx = -cosx - 5x³/3 + k.

JAMB 2016Question 4 · Geometry and Mensuration

Calculate the perimeter of a sector of a circle of raduis

12 cm

and angle 60o.

A.(12 + 4pi)cm
B.(24 + 4pi)cm
C.(12 + 6pi)cm
D.(24 + 6pi)cm

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Answer: B. (24 + 4pi)cm

Perimeter = 2r + rθ = 24 + 12(π/3) = 24+4π.

JAMB 2016Question 5 · Geometry and Mensuration

An arc of the length 16picm subtends an angle of

8 0^{\circ}

at the centre of the circle. Find the radius of the circle.

A. $24 cm$
B. $28 cm$
C. $36 cm$
D. $32 cm$

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Answer: C. $36 cm$

r = 16π/(80π/180) = $36 cm$ .

JAMB 2016Question 6 · Number, Fractions, and Approximation

A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out?

A.15
B.25
C.30
D.50

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Answer: B. 25

1 part=2.5 (from Bisi's 2 parts=5); total (10 parts)=25.

JAMB 2016Question 7 · Number, Fractions, and Approximation

Evaluate

\frac{12.02 \times 20.06}{26.04 \times 60.06}

, correct to three significant figures.

A.0.157
B.0.154
C.0.155
D.0.158

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Answer: B. 0.154

(12.02×20.06)/(26.04×60.06) ≈ 0.154.

JAMB 2016Question 8 · Number, Fractions, and Approximation

Rationalize

\frac{6 - 4}{6 + 4}

A.5 + 2 $6$
B.5 - 4 $6$
C.5 + 4 $6$
D.5 - 2 $6$

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Answer: D. 5 - 2 $6$

Rationalizing gives 5-2 $6$ .

JAMB 2016Question 9 · Sets and Binary Operations

Given U = {x: x is a positive integer less than 15} and P = {x: x is even number from 1 to 14}. Find the compliment of P.

A.{1, 3, 5, 7, 9, 11, 13, 15}
B.{2, 3, 5, 7, 9, 11, 13}
C.{1, 3, 5, 7, 9, 11, 13}
D.{2, 3, 5, 7, 11, 15}

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Answer: C. {1, 3, 5, 7, 9, 11, 13}

Complement of evens in {1..14} is the odd numbers.

JAMB 2016Question 10 · Statistics and Probability

Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

A.32
B.36
C.33
D.40

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Answer: D. 40

Range = 34-(-6) = 40.

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