JAMB Mathematics Past Questions 2013

10 questions from the JAMB 2013 Mathematics paper, with answers and explanations. Tap "Show answer" under each one when you are ready.

JAMB 2013Question 1 · Algebraic Processes

If S =

t^{2} - 4 t + 4

, find t in terms of S

A. $S^{2} - 2$
B.S + 2
C.S - 2
D. $S^{2} + 2$

Show answer

Answer: B. S + 2

S=|t-2|, so t = S+2.

JAMB 2013Question 2 · Algebraic Processes

Find the inverse

[5634]

A. $[2 - 3 - \frac{3}{2} - \frac{5}{2}]$
B. $[2 - 3 - \frac{3}{2} \frac{5}{2}]$
C. $[2 - 3 \frac{3}{2} \frac{5}{2}]$
D. $[2 - 3 \frac{3}{2} \frac{5}{2}]$

Show answer

Answer: B. $[2 - 3 - \frac{3}{2} \frac{5}{2}]$

det=2; inverse = ( $\frac{1}{2}$ ) $[4 - 6 - 3 5]$ = $[2 - 3 \frac{- 3}{2} \frac{5}{2}]$ .

JAMB 2013Question 3 · Calculus

Integrate

\frac{1 + x}{x ^{3}} d x

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

Show answer

Answer: B. - $\frac{1}{2 x ^{2}}$ - $\frac{1}{x}$ + k

∫(x⁻³+x⁻²)dx = -1/(2x²) - 1/x + k.

JAMB 2013Question 4 · Coordinate Geometry and Trigonometry

Find the equation of the perpendicular bisector of the line joining P(2, -3) to Q(-5, 1)

A.8y + 14x + 13 = 0
B.8y - 14x + 13 = 0
C.8y - 14x - 13 = 0
D.8y + 14x - 13 = 0

Show answer

Answer: C. 8y - 14x - 13 = 0

Midpoint ( $\frac{- 3}{2}$ ,-1), perpendicular slope $\frac{7}{4}$ , giving 8y-14x-13=0.

JAMB 2013Question 5 · Geometry and Mensuration

A square tile has side

30 cm

. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A.720
B.336
C.420
D.576

Show answer

Answer: B. 336

Floor area 30.24m² ÷ tile area 0.09m² = 336 tiles.

JAMB 2013Question 6 · Inequalities, Permutation, and Combination

Evaluate 3(x + 2) > 6(x + 3)

A.x < 4
B.x > -4
C.x < -4
D.x > 4

Show answer

Answer: C. x < -4

3x+6>6x+18 gives x<-4.

JAMB 2013Question 7 · Number, Fractions, and Approximation

Convert

2 7_{10}

to base three.

A. $(1001)_{3}$
B. $(1010)_{3}$
C. $(1100)_{3}$
D. $(1000)_{3}$

Show answer

Answer: D. $(1000)_{3}$

$2 7_{10} = 3^{3} = (1000)_{3}$ .

JAMB 2013Question 8 · Number, Fractions, and Approximation

lo g_{10} 4 = 0.6021

, evaluate

lo g_{10} 34

A.0.3011
B.0.9021
C.1.8063
D.0.2007

Show answer

Answer: D. 0.2007

$lo g_{10} 34 = \frac{1}{3} lo g_{10} 4 = 0.2007$ .

JAMB 2013Question 9 · Sequences, Series, and Variation

The n th term of the progression

\frac{4}{2}

\frac{7}{3}

\frac{10}{4}

\frac{13}{5}

is ...

A. $\frac{1 - 3 n}{n + 1}$
B. $\frac{3 n + 1}{n + 1}$
C. $\frac{3 n + 1}{n - 1}$
D. $\frac{3 n - 1}{n + 1}$

Show answer

Answer: B. $\frac{3 n + 1}{n + 1}$

Numerators follow 3n+1, denominators n+1.

JAMB 2013Question 10 · Statistics and Probability

The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16 and 18, find the mode.

A.6
B.8
C.14
D.2

Show answer

Answer: B. 8

7th number = 70-62 = 8, which repeats, so mode = 8.

Practise all 42 JAMB 2013 Mathematics questions free

Answer them on Acelume, timed like the CBT, see the answer straight away and get a list of the topics you need to work on.

Create a free account I have an account

JAMB Mathematics Past Questions 2013

Practise all 42 JAMB 2013 Mathematics questions free

More JAMB Mathematics past questions

Other subjects