JAMB Mathematics Past Questions & Answers

111.

The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

35/3

35/2

View answer & explanation

Correct answer is A

Tn = a + (n-1)d

10th term = 32

32 = 3/2 + 9d

9d = 32 - 3/2

9d = 61/2

d = 61/18

: T4 = 3/2 + 3(61/18)

T4 = 3/2 + 61/6 → 35/3

112.

A rectangular pyramid has an area 24cm $^2$ and height 7.5cm. Find its volume?

65.0cm $^3$

70.5cm $^3$

56.5cm $^3$

60.0cm $^3$

View answer & explanation

Correct answer is D

Volume of a rectangular pyramid = $\frac{length * width * height}{3}$ or $\frac{area * height}{3}$

= $\frac{24 * 7.5}{3}$ → $\frac{180}{3}$

Volume of the rectangular pyramid = 60cm $^3$

113.

Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gifts(g), savings(s) and some miscellaneous (m) as indicate in the table below:

F	R	C	G	S	M
28%	15%	20%	14%	10%	13%

If the above information is represented on a pie chart. What angle represents his spending on food?

108.5

100.8

98.8

120.5

View answer & explanation

Correct answer is B

$\frac{28 * 360}{100}$

= 100.8º

114.

Find the length of a chord 3cm from the centre of a circle of radius 5cm

8cm

5.6cm

7cm

6.5cm

View answer & explanation

Correct answer is A

Using pythagoras formula:

Hyp $^2$ = adj $^2$ + opp $^2$

5 $^2$ = opp $^2$ + 3 $^2$

5 $^2$ - 3 $^2$ = adj $^2$

4 = adj

length of the chord = 2 * 4 = 8cm

115.

Simplify $\frac{1}{3-√2}$ in the form of p + q√2

$\frac{7}{3}$ - $\frac{1}{7√2}$

$\frac{7}{3}$ + $\frac{1}{7√2}$

$\frac{3}{7}$ - $\frac{1}{7√2}$

$\frac{3}{7}$ + $\frac{√2}{7}$

View answer & explanation

Correct answer is D

Rationalization with conjugate ${3+√2}$

$\frac{1}{3-√2}$

→ $\frac{1 * [3+√2]}{[3-√2][3+√2]}$

= $\frac{3+√2}{9 -3√2 + 3√2 + √4}$

= $\frac{3+√2}{9 - 2}$ → $\frac{3+√2}{7}$

= $\frac{3}{7}$ + $\frac{√2}{7}$

JAMB Subjects

Literature in English

Islamic Religious Knowledge

Christian Religious Knowledge

Aptitude Tests

Microsoft Office Questions and Answers

Personality Test

Verbal Reasoning Questions and Answers

Quantitative Reasoning Questions and Answers

Typing Speed and Accuracy Test

Situational Judgement Questions and Answers

Abstract Reasoning Questions and Answers

Nigeria General Knowledge Questions and Answers

Data Interpretation Questions and Answers

Numerical Reasoning Questions and Answers

Spatial Reasoning Questions and Answers

Logical Reasoning Questions and Answers

Puzzles Questions and Answers

See all →

View latest jobs in Nigeria today

JAMB Mathematics Past Questions & Answers - Page 23

JAMB Subjects

Aptitude Tests