➗ 1988

JAMB Mathematics 1988 past questions

32 questions from the 1988 JAMB UTME Mathematics paper. Free, with answers where available.

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Mathematics JAMB 1988 Q1 ✓ Answer: C
Which of the following is in descending order?
A
9/10,4/5,3/4,17/10
B
4/5,9/10,3/4,17/20
C
6/10,17/20,4/5,3/4
D
4/5,9/10,17/10,3/4
Mathematics JAMB 1988 Q2 ✓ Answer: B
Evaluate 2,700, 000 x 0.03 ¸ 18,000
A
4.5 x 100
B
4.5 x 101
C
4.5 x 102
D
4.5 x 103
Mathematics JAMB 1988 Q3 ✓ Answer: C
The prime factors of 2,520 are
A
2,9,5,
B
2,9,7,
C
2,3,5,7,
D
2,3,7,9,
Mathematics JAMB 1988 Q4 ✓ Answer: D
Find correct to one decimal place, 0.24633 /0.0306
A
0.8
B
1.8
C
8.0
D
8.1 [PAGE 19]
Mathematics JAMB 1988 Q5 ✓ Answer: D
Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo’s share to Kehind’s is 11:9. later Kehinde sells 2/3 of her share to Taiwo for #720.00. Find the value of the store.
A
#1,080.00
B
#2,400.00
C
#3,000.00
D
#3,600.00
Mathematics JAMB 1988 Q6 ✓ Answer: C
What is the difference between 0.007685 correct to three significant figures and 0.007685 correct to four places of decimal?
A
10-5
B
7 x 10-4
C
8 x 10-5
D
10 -6
Mathematics JAMB 1988 Q9 ✓ Answer: C
If Log102 = 0.3010 and Log103 = 0.4771, evaluate, without using logarithm tables log104.5
A
0.3010
B
0.4771
C
0.6352
D
0.9542
Mathematics JAMB 1988 Q11 ✓ Answer: C
The thickness of an 800-paged book is 18mm. Calculate the thickness of one leaf of the book giving your answer in metres and in standard form.
A
2.25 x 10-4m
B
4.50 x 10-4m
C
2.25 x 10-5m
D
4.50 x 10-5m
Mathematics JAMB 1988 Q11 ✓ Answer: C
Find p in terms of q if Log3p + 3log3q = 3
A
(3)3
B
(q)1/3 (q) (3)
C
(q)3
D
(3)1/3 (3) (q)
Mathematics JAMB 1988 Q12 ✓ Answer: D
What are the values of y which satisfy the equation 9y – 4 ( 3y) + 3 = 0
A
-1 and 0
B
–1 and 1
C
1 and 3
D
0 and 1 Mathematics 1989
Mathematics JAMB 1988 Q13 ✓ Answer: D
If 1/p = (a2 + 2ab + b2) (a - b) and 1/q = (a + b) (a2 - 2ab + b2) find p/q
A
a + b
B
a - b a2 - b2
C
a - b
D
a2 - b2 a + b
Mathematics JAMB 1988 Q14 ✓ Answer: C
If x varies inversely as the cube root of y and x = 1 when y = 8 find y when x = 3
A
1/3
B
2/3
C
8/27
D
4/9
Mathematics JAMB 1988 Q16 ✓ Answer: B
If g(y) = y – 3/11 + 11/ y2 – 9 what is g(y + 3)?
A
y + 11
B
y + 11 11 y(y+6) 11 y(y+3)
C
y + 30 + 11
D
y + 3 + 11 11 y(y+3) 11 y(y-6)
Mathematics JAMB 1988 Q17 ✓ Answer: C
Factorize completely (x2 + x) 2 (2x + 2)2
A
(x + y)(x + 2)(x - 2)
B
(x + y)2(x - 2)2
C
(x + 1)2(x + 2)2
D
(x + 1)2(x + 2)2(x - 2)
Mathematics JAMB 1988 Q18 ✓ Answer: B
Simplify (x - y) (x1/3 - y1/2)
A
x2 = xy + y2
B
x2/3 + x1/3 + y2/3
C
x2/3 - x1/3 y1/3 - y2/3
D
x2 - xy + y2
Mathematics JAMB 1988 Q19 ✓ Answer: B
Solve the following equation for x x2 + 2x + 1 = o r2 r1
A
r2
B
1/r2
C
–1/r2
D
1/r
Mathematics JAMB 1988 Q20 ✓ Answer: A
List the integral values of x which satisfy the inequality 1 < 5 < -2x < 7
A
-1,0,1,2
B
0,1,2,3
C
-1,0,1,2,3,
D
-1,0,2,3
Mathematics JAMB 1988 Q21 ✓ Answer: A
Given value that 3x – 5y – 3 = 0 2y – 6x + 5 = 0 the value of (x, y) is
A
(-1/8, 19/24)
B
(8, 24/10)
C
(-8, 24/19)
D
(19/24, -1/8)
Mathematics JAMB 1988 Q23 ✓ Answer: B
Simplify 1 + 1 (x2+5x+6) (x2 + 3x + 2)
A
x + 3
B
1 (x+1) (x+2) (x+1) x+2) x+3)
C
2
D
4 (x+1) (x+3) (x+1) (x+3)
Mathematics JAMB 1988 Q24 ✓ Answer: C
Evaluate (4a2 - 4ab2) (2a2 + 5ab - 7b2)
A
a - b
B
2a + 7b 2a + b a - b
C
2a - 7b
D
2a - 7b a + b a - b [PAGE 20] Using the graph to answer questions 25 and 26 y = I -4 -3 -2 -1 0 1 2 1 -2 -1
Mathematics JAMB 1988 Q25 ✓ Answer: A
What is the solution of the equation x2 – x – 1 = 0?
A
x = 1.6 and x = -0.6
B
x = -1.6 and x = 0.6
C
x = 1.6 and x = 0.6
D
x = -1.6 and x = -0.6
Mathematics JAMB 1988 Q26 ✓ Answer: D
For what values of x is the curve y = (x2 + 3) / (x + 4)
A
-3 < x< 0
B
–3 < x < 0
C
0 < x < 3
D
0 < x < 3
Mathematics JAMB 1988 Q27 ✓ Answer: B
The solution of x2 – 2x – 1 0 are the points of intersection of two graphs. If one of the graphs is y= 2 + x – x2, find the second graph.
A
y = 1 – x
B
y = 1 + x
C
y = x – 1
D
y = 3x + 3
Mathematics JAMB 1988 Q32 ✓ Answer: B
For which of the following exterior angles is a regular polygon possible? i 350 ii 180 iii. 1150
A
i and ii
B
ii only
C
ii and iii
D
iii only
Mathematics JAMB 1988 Q39 ✓ Answer: D
From a point 14√3 metres away from a tree, a man discovers that the angle of elevation of the tree is 300. If the man measures this angle of elevation from a point 2meters above the ground how high is the tree?
A
12m
B
14m
C
14√3m
D
16m
Mathematics JAMB 1988 Q41 ✓ Answer: C
If cot q = x/y, find cosec q
A
1/y(x2+y)
B
(x/y)
C
1/y(x2+y)
D
y/x
Mathematics JAMB 1988 Q44 ✓ Answer: B
If a metal pipe 10cm long has an external diameter of 12cm and a thickness of 1cm, find the volume of the metal used in making the pipe.
A
120pcm3
B
110pcm3
C
60pcm3
D
50pcm3
Mathematics JAMB 1988 Q45 ✓ Answer: C
60 cm 30 cm In the figure above, a solid consists of a hemisphere surmounted by a right circular cone with radius 3.0cm and height 6.0cm. find the volume of the solid.
A
18pcm3
B
36pcm3
C
54pcm3
D
108pcm3
Mathematics JAMB 1988 Q46 ✓ Answer: B
PQR is a triangle in which PQ= 10ccm and QPR = 600. S is a point equidistant from P and Q. also S is a point equidistant from PQ and PR. If U is the foot of the perpendicular from S on PR, find the length SU in cm to one decimal place.
A
2.7
B
2.9
C
3.1
D
3.3
Mathematics JAMB 1988 Q48 ✓ Answer: C
If x and y represents the mean and the median respectively of the following set of numbers; 11, 12,13,14,15,16,17,18,19,21,. Find x/y correct to one decimal place.
A
1.6
B
1.2
C
1.1
D
1.0
Mathematics JAMB 1988 Q49 ✓ Answer: A
In the distribution above, the mode and the median respectively are
A
1.3
B
1.2
C
3.3
D
0.2
Mathematics JAMB 1988 Q50 ✓ Answer: A
If two dice are thrown together, what is the probability of obtaining at least a score of 10?
A
1/6
B
1/12
C
5/6
D
11/12 [PAGE 22]