➗ 1989

JAMB Mathematics 1989 past questions

22 questions from the 1989 JAMB UTME Mathematics paper. Free, with answers where available.

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Mathematics JAMB 1989 Q13 ✓ Answer: C
Make R the subject of the formula S = √(2R +Τ ) (3RT)
A
R = T
B
T (TS2 - 1) 2(TS2 - 1) C R = T
D
T (TS2 + 1) 2(TS2 + 1)
Mathematics JAMB 1989 Q14 ✓ Answer: D
Find the value of the expression 32 - 64 81 when x = -3/4 81x3 xx2 16
A
101/2
B
101/6
C
33/8
D
–131/2
Mathematics JAMB 1989 Q15 ✓ Answer: A
The cost of dinner for a group of students is partly cconstant and partly varies directly as the number of students. If the cost is #74.00 when the number of students is 20, and #96.00 when the number is 30, find the cost when there are 15 students.
A
#68.50
B
#63.00
C
#60.00
D
#52.00
Mathematics JAMB 1989 Q16 ✓ Answer: D
If f(x) = 2x2 + 5x + 3, find f(x + 1)
A
2x2 – x
B
2x2 – x + 10
C
4x2 + 3x + 2
D
4x2 + 3x + 12
Mathematics JAMB 1989 Q18 ✓ Answer: A
Simplify (32x - 4x2) (2x + 18)
A
2(x - 9)
B
2(9 + x )
C
81 – x2
D
–2(x - 9)
Mathematics JAMB 1989 Q19 ✓ Answer: C
Factorize completely y3 – 4xy + xy3 – 4y
A
(x + xy)(y + 2)(y - 2)
B
(y + xy)(y + 2)(y - 2)
C
y(1 + x)(y + 2)(y - 2)
D
y(1 - x)(y + 2)(y - 2)
Mathematics JAMB 1989 Q20 ✓ Answer: D
If one of x3 – 8-1 is x – 2–1 , the other factors is
A
x2 + 2-1 x – 4-1
B
x2 - 2-1 x – 4-1
C
x2 + 2-1 x + 4-1
D
x2 + 2-1 x –4-1
Mathematics JAMB 1989 Q21 ✓ Answer: B
Factorize 4a2 + 12ab – c2+ 9b2
A
4a(a – 3b) + (3b - c)2
B
(2a + 3b – c )(2a + 3b + c)
C
(2a – 3b -c)(2a –3b + c)
D
4a(a – 3b) + (3b +c)2
Mathematics JAMB 1989 Q22 ✓ Answer: A
What are K and L respectively if ½ (3y – 4x)2 = (8x2 + kxy + Ly2)
A
-12, 9/2
B
–6, 9
C
6, 9
D
12, 9/2 [PAGE 23]
Mathematics JAMB 1989 Q23 ✓ Answer: C
Solve the pair of equation for x and y respectively 2x-1 – 3y-1 = 4 4x-1 + y-1 = 1
A
-1,2
B
1,2
C
2,1
D
2,-1
Mathematics JAMB 1989 Q24 ✓ Answer: A
What value of Q will make the expression 4x2 + 5x + Q a complete square?
A
25/16
B
25/64
C
5/8
D
5/4
Mathematics JAMB 1989 Q25 ✓ Answer: B
Find the range of values of r which satisfies the following inequality, where a, b and c are positive. r/a+r/b+r/c >1
A
r> abc
B
r>abc bc + ac + ab
C
r > 1/a + 1/b + 1/c
D
r>1/abc
Mathematics JAMB 1989 Q28 ✓ Answer: D
a b k f d x -1 1 2 3 4 5 6 i j e On the curve above, the points at which the gradient of the curve is equal to zero are
A
c.d.f.i.l
B
b.e.g.j.m
C
a.b.c.d.f.i.j.l.
D
c.d.f.h.i.l
Mathematics JAMB 1989 Q29 ✓ Answer: D
The sum of the first two terms of a geometric progression is x and the sum of the last two terms is y. if there are n terms in all, then the common ratio is
A
x/y
B
y/x
C
(x/y)1/2
D
(y/x)1/2
Mathematics JAMB 1989 Q30 ✓ Answer: C
If –8, m,n, 19 in arithmetic progression, find (m, n)
A
1,10
B
2,10
C
3,13
D
4,16 M
Mathematics JAMB 1989 Q32 ✓ Answer: B
P 3 cm 4 cm H K Q R In the diagram above, HK is prallel to QR, PH = 4cm and HQ = 3cm. What is the ratio of KR;PR?
A
7:3
B
3:7
C
3:4
D
4:3
Mathematics JAMB 1989 Q37 ✓ Answer: B
In DXYZ, Y = Z = 300 and XZ = 3cm find YZ
A
√3/2cm
B
3√3/2cm
C
3√3cm
D
2√3cm
Mathematics JAMB 1989 Q40 ✓ Answer: D
R Z X T S If x : y = 5:12 and z = 52cm, find the perimeter of the triangle.
A
68cm
B
84cm
C
100cm
D
120cm
Mathematics JAMB 1989 Q41 ✓ Answer: D
The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angle of depression of 350 and 550. find the distance between the two points of observation
A
10(sin 350 – sin 550)
B
10(cos 350 – cos 550)
C
10(tan 350 – tan 550)
D
10(cot 350 – cot 550)
Mathematics JAMB 1989 Q47 ✓ Answer: D
In a class of 30 students, the marks scored in an examination are displayed in the following histogram. No . of students 20 40 60 80 100 Marks scored What percentage of the students scored more than 40%
A
14%
B
40%
C
452/3%
D
531/3%
Mathematics JAMB 1989 Q48 ✓ Answer: D
In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted, the average age drops to 12years. What is the age of the grandfather?
A
35years
B
40years
C
42years
D
54years
Mathematics JAMB 1989 Q50 ✓ Answer: A
The numbers are chosen at random from three numbers 1,3,6. find the probability that the sum of the two is not odd.
A
2/3
B
½
C
1/3
D
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