JAMB Mathematics Past Questions 2017

10 questions from the JAMB 2017 Mathematics paper, with answers and explanations. Tap "Show answer" under each one when you are ready.

JAMB 2017Question 1 · Algebraic Processes

Given m = N

\frac{S L}{T}

make T the subject of the formula

A. $\frac{NSL}{M}$
B. $\frac{N ^{2} S L}{M ^{2}}$
C. $\frac{N ^{2} S L}{M}$
D. $\frac{N S L}{M ^{2}}$

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Answer: B. $\frac{N ^{2} S L}{M ^{2}}$

Squaring m/N= $S L / T$ gives T=N²SL/m².

JAMB 2017Question 2 · Algebraic Processes

Make S the subject of the relation p = s +

\frac{s m ^{2}}{n r}

A.s = $\frac{n r p}{n r + m ^{2}}$
B.s = nr + $\frac{m ^{2}}{m r p}$
C. $s = \frac{n r p}{m r} + m^{2}$
D. $s = \frac{n r p}{n r} + m^{2}$

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Answer: A. s = $\frac{n r p}{n r + m ^{2}}$

p=s(nr+m²)/(nr) gives s=nrp/(nr+m²).

JAMB 2017Question 3 · Calculus

Find

\int (x^{2} + 3 x - 5) d x

A. $\frac{x _{3}}{3}$ - $\frac{3 x _{2}}{2}$ - 5x + k
B. $\frac{x _{3}}{3}$ - $\frac{3 x _{2}}{2}$ + 5x + k
C. $\frac{x _{3}}{3}$ + $\frac{3 x _{2}}{2}$ - 5x + k
D. $\frac{x _{3}}{3}$ + $\frac{3 x _{2}}{2}$ + 5x + k

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Answer: C. $\frac{x _{3}}{3}$ + $\frac{3 x _{2}}{2}$ - 5x + k

∫(x²+3x-5)dx = x³/3+3x²/2-5x+k.

JAMB 2017Question 4 · Coordinate Geometry and Trigonometry

Evaluate

(sin 4 5^{\circ} + sin 3 0^{\circ})

in surd form

A. $\frac{3}{2 2}$
B. $3$ − $\frac{1}{2}$
C. $\frac{1}{2}$ $2$
D. $\frac{1 + 2}{2}$

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Answer: D. $\frac{1 + 2}{2}$

sin45°+sin30° = $2$ /2+ $\frac{1}{2}$ = (1+ $2$ )/2.

JAMB 2017Question 5 · Geometry and Mensuration

The locus of a point which is equidistant from the line PQ forms a

A.circle centre P
B.pair of parallel lines each opposite to PQ
C.circle centre Q
D.perpendicular line to PQ

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Answer: B. pair of parallel lines each opposite to PQ

Points equidistant from a line form parallel lines either side of it.

JAMB 2017Question 6 · Inequalities, Permutation, and Combination

Find the number of ways that the letters of the word EXCELLENCE be arranged

A. $\frac{10 !}{2 ! 2 ! 2 !}$
B. $\frac{10 !}{4 ! 2 !}$
C. $\frac{10 !}{4 ! 2 ! 2 !}$
D. $\frac{10 !}{2 ! 2 !}$

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Answer: C. $\frac{10 !}{4 ! 2 ! 2 !}$

EXCELLENCE has E×4, C×2, L×2; arrangements=10!/(4!2!2!).

JAMB 2017Question 7 · Number, Fractions, and Approximation

Simplify

3^{n - 1} \times \frac{2 7 ^{n + 1}}{8 1 ^{n}}

A. $3^{2 n}$
B.9
C. $3 n$
D. $3^{n + 1}$

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Answer: B. 9

$3^{n - 1} \times \frac{3 ^{3 n + 3}}{3 ^{4 n}} = 3^{2} = 9$ .

JAMB 2017Question 8 · Number, Fractions, and Approximation

If a rod

10 cm

in length was measured as

10.5 cm

, calculate the percentage error

A.5%
B.10%
C.8%
D.7%

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Answer: A. 5%

Error= $\frac{0.5}{10}$ ×100=5%.

JAMB 2017Question 9 · Sequences, Series, and Variation

What is the next number in the series 2, 1,

\frac{1}{2}

\frac{1}{4}

...

A. $\frac{1}{3}$
B. $\frac{2}{8}$
C. $\frac{3}{7}$
D. $\frac{1}{8}$

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Answer: D. $\frac{1}{8}$

Each term is half the previous; next term = 1/8.

JAMB 2017Question 10 · Sets and Binary Operations

The operation * on the set R of real number is defined by x * y = 3x + 2y − 1, find 3* − 1

A.9
B.- 9
C.6
D.- 6

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Answer: C. 6

3*(-1)=3(3)+2(-1)-1=6.

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JAMB Mathematics Past Questions 2017

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