➗ 1986

JAMB Mathematics 1986 past questions

25 questions from the 1986 JAMB UTME Mathematics paper. Free, with answers where available.

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Mathematics JAMB 1986 Q5 ✓ Answer: B
Find the reciprocal of 2/3 1/2 + 1/3
A
4/5
B
5/4
C
2/5
D
6/7
Mathematics JAMB 1986 Q7 ✓ Answer: A
If P = 18, Q = 21, R = -6 and S = -4 calculate (P - Q) + S2
A
-11/216
B
11/216
C
–43/115
D
41/116 [PAGE 13]
Mathematics JAMB 1986 Q9 ✓ Answer: D
Udoh deposited #150 00 in the bank. At the end of 5 years the simple interest on the principal was #55 00. At what rate per annum was the interest paid?
A
11%
B
71/3%
C
5%
D
31/2%
Mathematics JAMB 1986 Q11 ✓ Answer: C
The ages of Tosan and Isa differ by 6 and the product of their ages is 187. write their ages in the form (x, y), where x > y
A
(12, 9)
B
(23, 17)
C
(17, 11)
D
(18, 12)
Mathematics JAMB 1986 Q17 ✓ Answer: B
Factorize completely. 3a + 125ax3
A
(2a + 5x2)(4 + 25ax)
B
a(2 + 5x)(4 – 10x + 25ax2)
C
(2a + 5x)(4 - 10ax + 25ax2)
D
a(2 + 5x)(4 + 10ax + 25ax2)
Mathematics JAMB 1986 Q19 ✓ Answer: D
Find all the numbers x which satisfy the inequality 1/ 3(x + 1) – 1 > 1/5 (x + 4)
A
x < 11
B
x < -1
C
x > 6
D
x > 11
Mathematics JAMB 1986 Q20 ✓ Answer: D
Factorize x2 + 2a + ax + 2x
A
(x + 2a)(x + 1)
B
(x + 2a)(x - 1)
C
(x2 - 1)(x + a)
D
(x + 2)(x + a)
Mathematics JAMB 1986 Q21 ✓ Answer: D
Solve the equation 3x2 + 6x – 2 = 0
A
x = -1,±√3/3
B
x = -1,±√15/√3
C
x = -2, ±2√3/3
D
x = -2, ±2√15/3
Mathematics JAMB 1986 Q22 ✓ Answer: B
Simplify. 1/ 5x +5 + 1/7x + 7
A
12/35+7
B
1/35(x+1)
C
12x/35(x+1)
D
12/35x + 35
Mathematics JAMB 1986 Q23 ✓ Answer: D
The curve y = -x2 + 3x + 4 intersects the coordinate axes at
A
(4,0)(0,0)(-1,0)
B
(-4,0)(0,4)(1,1)
C
(0,0)(0,1)(1,0)
D
(0,4)(4,0)(-1,0)
Mathematics JAMB 1986 Q24 ✓ Answer: C
Factorize (4a + 3)2 – (3a - 2)2
A
(a + 1)(a + 5)
B
(a - 5)(7a - 1)
C
(a + 5)(7a + 1)
D
a(7a + 1)
Mathematics JAMB 1986 Q26 ✓ Answer: B
Simplify 1/ x - 2 + 1/ x + 2 + 2x / x2 - 4
A
2x/ (x-2) (x+2) (x2 - 4) B.2x/x2 - 4
C
x/x2 - 4
D
4x/ x2 - 4
Mathematics JAMB 1986 Q27 ✓ Answer: D
Make r the subject of the formula S = 6/v - w/2
A
V = 6 = 12
B
v = 12 S2 w 252 - w
C
v = 12 - 2s2
D
v = 12 w 2s2 + w
Mathematics JAMB 1986 Q28 ✓ Answer: D
Find the values of x which satisfy the equation 16x – 5x 4x + 4 = 0
A
1 and 4
B
–2 and 2
C
0 and 1
D
1 and 0
Mathematics JAMB 1986 Q29 ✓ Answer: D
a/b –c/d = k, find the value of (3a2 – ac + c2)/(3b2 – bd + d2) in term of k
A
3k2
B
3k – k2
C
17k2/4
D
k2
Mathematics JAMB 1986 Q30 ✓ Answer: A
At what point does the straight line y = 2x + 1 intersect the curve y = 2x2 + 5x – 1?
A
(-2,-3) and (1/2, 2)
B
(-1/2 0) and (2, 5)
C
(1/2, 2) and (1, 3)
D
(1, 3) and (2, 5)
Mathematics JAMB 1986 Q32 ✓ Answer: A
If cos q = a/b, find 1 + tan2q
A
b2/a2
B
a2/b2
C
(a2 + b2) / (b2 – a2)
D
(2a2 + b2)/ (a2 + b2) [PAGE 14]
Mathematics JAMB 1986 Q33 ✓ Answer: A
In the diagram below, PQ and RS are chords of a circle centre O which meet at T outside the circle. If TP = 24cm, TQ = 8cm and TS = 12cm, find TR. Q T P O S R
A
16cm
B
14cm
C
12cm
D
8cm
Mathematics JAMB 1986 Q34 ✓ Answer: C
The angle of elevation of the top of a vertical tower 50 metres high from a point X on the ground is 300. From a point Y on the opposite side of the tower, the angle of elevation of the top of the tower is 600. find the distance between the points X and Y.
A
14.43m
B
57.73m
C
101.03m
D
115.47m
Mathematics JAMB 1986 Q36 ✓ Answer: C
11 m P R 6 m 12 m Q 8 m The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume
A
102m3
B
576m3
C
816m3
D
1056m3
Mathematics JAMB 1986 Q38 ✓ Answer: B
An arc of circle of radius 6cm is 8cm long. Find the area of the sector.
A
51/3cm2
B
24cm2
C
36cm2
D
48cm2 X
Mathematics JAMB 1986 Q39 ✓ Answer: A
Y Z In XYZ above, determine the cosine of angle Z
A
¾
B
29/36
C
2/3
D
½ T
Mathematics JAMB 1986 Q41 ✓ Answer: D
Find the total surface are of a solid cone of radius 2 3cm and slanting side 4 3cm
A
8√3cm2
B
24cm2
C
15√3cm2
D
36cm2
Mathematics JAMB 1986 Q44 ✓ Answer: C
An open rectangular box externally measures 4m x 3m x 4m. find the total cost of painting the box externally if it costs #2.00 to paint one square metre.
A
#96.00
B
#112.00
C
#136.00
D
#160.00
Mathematics JAMB 1986 Q47 ✓ Answer: D
Find the probability that a number selected at random from 40 to 50 is a prime
A
3/11
B
5/11
C
3/10
D
4/11 Mathematics 1987