➗ 2004

JAMB Mathematics 2004 past questions

27 questions from the 2004 JAMB UTME Mathematics paper. Free, with answers where available.

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Mathematics JAMB 2004 Q5 ✓ Answer: C
Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction did the third teacher receive?
A
11/25
B
12/25
C
13/25
D
8/15
Mathematics JAMB 2004 Q7 ✓ Answer: C
Simplify 1/√3 + 2 in the form a + b√3
A
-2 - 3
B
–2+ 3
C
2- 3
D
2+ 3
Mathematics JAMB 2004 Q8 ✓ Answer: D
If 6logx2 – 3logx3 = 3log50.2, find x.
A
3/8
B
¾
C
4/3
D
8/3 Q P
Mathematics JAMB 2004 Q9 ✓ Answer: D
R The shaded region in the venn diagram above
A
Pc ∩(QR)B. P∩Q
C
Pc U(Q∩R)
D
Pc∩ (QUR)
Mathematics JAMB 2004 Q11 ✓ Answer: A
Find the values of x where the curve y = x3 + 2x2 – 5x – 6 crosses the x-axis.
A
-2, -1 and 3
B
-2, 1 and –3
C
2, -1 and –3
D
2, 1 and 3
Mathematics JAMB 2004 Q13 ✓ Answer: D
Factorize completely ac – 2bc – a2 + 4b2
A
(a – 2b)(c + a – 2b)
B
(a – 2b)(c - a – 2b)
C
(a – 2b)(c + a + 2b)
D
(a – 2b)(c - a + 2b)
Mathematics JAMB 2004 Q15 ✓ Answer: D
The length L of a simple pendulum varies directly as the square of its period T. if a pendulum with period 4 secs is 64cm long, find the length of a pendulum whose period is 9 sec.
A
36cm
B
96ccm
C
144cm
D
324cm
Mathematics JAMB 2004 Q16 ✓ Answer: A
x The shaded area in the diagram above is represented by
A
{(x, y) : y + 3x < 6}
B
{(x, y) : y + 3x < - 6}
C
{(x, y) : y - 3x < 6}
D
{(x, y) : y - 3x < - 6}
Mathematics JAMB 2004 Q17 ✓ Answer: C
What are the integral values of x which satisfy the inequality –1 < 3 – 2x ≤ 5?
A
-2, 1, 0, -1
B
-1, 0, 1, 2
C
-1, 0, 1,
D
0, 1, 2
Mathematics JAMB 2004 Q22 ✓ Answer: B
The inverse of the matrix (2 1) (1 1) is
A
(1 1)
B
(1 -1) (-1 2) (1 2)
C
(1 1)
D
(1 -1) (1 2) (-1 2)
Mathematics JAMB 2004 Q24 ✓ Answer: D
The sum of the interior angles of a pentagon is 6x + 6y. find y in terms of x [PAGE 63]
A
y = 60 – xB. y = 90 – x
C
y = 120 – x
D
y = 150 – x
Mathematics JAMB 2004 Q25 ✓ Answer: C
PQRSTV is a regular polygon of side 7cm inscribed in a circle. Find the circumference of the circle PQRSTV.
A
22cm
B
42cm
C
44cm
D
56cm
Mathematics JAMB 2004 Q27 ✓ Answer: A
In the diagram above, PQ =4cm and TS = 6cm, if the area of parallelogram PQTU is 32cm2, find the area of the trapezium PQRU
A
24cm2
B
48cm2
C
60cm2
D
72cm2
Mathematics JAMB 2004 Q29 ✓ Answer: B
Determine the locus of a point inside a square PQRS which is equidistant from PQ and QR
A
The diagonal PR.
B
The diagonal QS
C
Side SR
D
The perpendicular bisector of PQ.
Mathematics JAMB 2004 Q30 ✓ Answer: A
The locus of a point which is 5cm from the line LM is a
A
pair of lines on opposite sides of LM and parallel to it, each distances 5cm form LM
B
line parallel to LM and 5cm from LM
C
pair of parallel lines on one side of LM and parallel to LM
D
line distance 10cm from LM and parallel to LM.
Mathematics JAMB 2004 Q32 ✓ Answer: D
Find the midpoint of the line joining P(-3, 5) and Q (5, -3).
A
(4, -4)
B
(4, 4)
C
(2, 2)
D
(1,1)
Mathematics JAMB 2004 Q33 ✓ Answer: C
15 cm X O O Find the value of x in the figure above.
A
20√6
B
15√6
C
5√6
D
3√6
Mathematics JAMB 2004 Q38 ✓ Answer: D
What is the rate of change of the volume v of hemisphere with respect to its radius r when r = 2?
A
2π
B
4π
C
8π
D
16π
Mathematics JAMB 2004 Q39 ✓ Answer: A
Evaluate 1 (x2 - 1) dx
A
62/3
B
2/3
C
-2/3
D
-62/3 e t
Mathematics JAMB 2004 Q40 ✓ Answer: B
r O O n e a z e i a B M O M t e i The pie chart above shows the distribution of the crops harvested from a farmland in a year. If 3000 tonnes of millet is harvested, what amount of beans is harvested?
A
9000 tonnes
B
6000 tonnes
C
1500 tonnes
D
1200 tonnes
Mathematics JAMB 2004 Q41 ✓ Answer: D
I. Rectangular bars of equal width II. The height of each rectangular bar is proportional to the frequency of the3 corresponding class interval. III. Rectangular bars have common [PAGE 64] sides with no gaps in between. A histogram is described by
A
I and II
B
I and III
C
I,II and III
D
II and III®
Mathematics JAMB 2004 Q42 ✓ Answer: B
The graph above shows the cumulative frequency curve of the distribution of marks in a class test. What percentage of the students scored more than 20 marks?
A
68%
B
28%
C
17%
D
8%
Mathematics JAMB 2004 Q45 ✓ Answer: A
Find the mean deviation of 1, 2, 3 and 4
A
1.0
B
1.5
C
2.0
D
2.5
Mathematics JAMB 2004 Q46 ✓ Answer: A
In how many ways can 2 students be selected from a group of 5 students in a debating competition?
A
10 ways.
B
15 ways.
C
20 ways
D
25 ways.
Mathematics JAMB 2004 Q48 ✓ Answer: B
Two dice are thrown. What is the probability that the sum of the numbers is divisible by 3.
A
½
B
1/3
C
¼
D
2/3
Mathematics JAMB 2004 Q49 ✓ Answer: B
An unbiased die is rolled 100 times and the outcome is tabulated as follows: What is the probability of obtaining 5?
A
1/6
B
1/5
C
¼
D
½
Mathematics JAMB 2004 Q50 ✓ Answer: A
By how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median.
A
0.50
B
0.75
C
0.17
D
0.33 A 2/25