➗ 1990

JAMB Mathematics 1990 past questions

35 questions from the 1990 JAMB UTME Mathematics paper. Free, with answers where available.

Practice with CBT mock → All Mathematics years
Mathematics JAMB 1990 Q1 ✓ Answer: C
Simplify (43/4 - 61/4) (41/5 of 1 1/4)
A
-77/8
B
–2/7
C
–10/21
D
10/21
Mathematics JAMB 1990 Q2 ✓ Answer: A
The H.C.F. of a2bx + abx2 and a2b – b3 is
A
b
B
a + b
C
a(a + b)
D
abx (a2 – b2)
Mathematics JAMB 1990 Q3 ✓ Answer: D
Correct 241.34 (3 x 10-3)2 to 4 significant figures
A
0.0014
B
0.001448
C
0.0022
D
0.002172
Mathematics JAMB 1990 Q3 ✓ Answer: A
Find correct to 3 decimal places ( 1 ÷ 1 0.05 5.005 - (0.05X2.05)
A
99.998
B
98.999
C
89.899
D
9.998
Mathematics JAMB 1990 Q4 ✓ Answer: B
At what rate would a sum of #100.00 deposited for 5 years raise an interest of #7.50?
A
11/2%
B
21/2%
C
15%
D
25%
Mathematics JAMB 1990 Q4 ✓ Answer: D
Express 62/3 as a decimal correct to 3 significant figures.
A
20.6
B
20.667
C
20.67
D
20.7
Mathematics JAMB 1990 Q5 ✓ Answer: A
Three children shared a basket of mangoes in such a way that the first child took ¼ of the mangoes and the second ¾ of the remainder. What fraction of the mangoes did the third child take?
A
3/16
B
7/16
C
9/16
D
13/16
Mathematics JAMB 1990 Q6 ✓ Answer: C
Musa borrows #10.00 at 2% per month interest and repays #8.00 after 4 months. However much does he still owe?
A
#10.80
B
#10.67
C
#2.80
Mathematics JAMB 1990 Q7 ✓ Answer: B
Three brothers in a business deal share the profit at the end of contract. The first received 1/3 of the profit and the second 2/3 of the remainder. If the third received the remaining #12.000.00, how much profit did they share?
A
#60,000.00
B
#54,000.00
C
#48,000.00
D
#42,000.00
Mathematics JAMB 1990 Q7 ✓ Answer: D
If 3 gallons of spirit containing 20% water are added to 5gallons of another spirit containing 15% water, what percentage of the mixture is water?
A
24/5%
B
167/8%
C
181/8%
D
187/8%
Mathematics JAMB 1990 Q8 ✓ Answer: C
Simplify √ 160r2 + √ (71r4 + √100r3
A
9r2
B
12 3r
C
13r
D
13r
Mathematics JAMB 1990 Q9 ✓ Answer: A
Simplify √27 + 3/√3
A
4√3
B
4/√3
C
3√3
D
3√/4
Mathematics JAMB 1990 Q9 ✓ Answer: B
Simplify 2log2/5 – log72/125 + log9
A
1 – 4log 3
B
–1 + 2log3
C
–1 +5log2
D
1-2log2
Mathematics JAMB 1990 Q12 ✓ Answer: A
Multiply (x2 –3x - + 1)2 by (x - a)
A
x3 – (3 - a)x2 + (1 + 3a)x –1
B
x3 – (3 - a)x2 + 3ax – a
C
x3 – (3 - a)x2 + (1 + 3a) – a
D
x3+ (3 - a)x2+ (1 + 3a) - a Mathematics 1991
Mathematics JAMB 1990 Q13 ✓ Answer: A
Y varies inversely as x2 and X varies directly as Z2. find the relationship between Y and Z, if C is a constant.
A
Z2y = C
B
Y = CZ2
C
Y = CZ2
D
Y = C
Mathematics JAMB 1990 Q14 ✓ Answer: D
Find the value of r in terms of p and q in the following equation P/2 = (r/(r+q)
A
r = q
B
pq2 2 - p2 2 - q2
C
r = p2q2
D
p 2 - pq q(2-p)
Mathematics JAMB 1990 Q17 ✓ Answer: A
If a2 + b2 = 16 and 2ab = 7 find all the possible values of (a – b )
A
3, -3
B
2, -2
C
1, -1
D
3, -1
Mathematics JAMB 1990 Q18 ✓ Answer: A
Divide x3 – 2x2 – 5x + 6 by (x - 1)
A
x2 – x –6
B
x2 – 5x + 6
C
x2 – 7x + 6
D
x2 – 5x - 6
Mathematics JAMB 1990 Q21 ✓ Answer: C
Find the solution of the equation x – 8 √x + 15 = 0
A
3, 5
B
–3, -5
C
9, 25
D
–9, 25
Mathematics JAMB 1990 Q23 ✓ Answer: A
The perimeter of a rectangular lawn is 24m, if the area of the lawn is 35m2, how wide is the lawn?
A
5m
B
7m
C
12m
D
14m [PAGE 26]
Mathematics JAMB 1990 Q25 ✓ Answer: D
Simplify x + y - x2 (x+y) (x-y) (x2 - y2)
A
x2
B
y2 x2 - y2 x2 - y2
C
x
D
y x2 - y2 x2 - y2
Mathematics JAMB 1990 Q27 ✓ Answer: D
Find the sum of the first twenty terms of the arithmetic progression Log a, Log a2, Log a3
A
log a20
B
log a21
C
log a200
D
log a210
Mathematics JAMB 1990 Q28 ✓ Answer: D
Find the sum of the first 18 terms of the progression 3, 6, 12 ………..
A
3(217 - 1)
B
3(218 ) - 1 )
C
3(218 + 1)
D
3(218 - 1)
Mathematics JAMB 1990 Q29 ✓ Answer: B
x -1 What is the equation of the quadratic function represented by the graph above?
A
y = x2 + x - 2
B
y = x2 – x –2
C
y = -x2 – x + 2
D
y = -x + x + 2
Mathematics JAMB 1990 Q31 ✓ Answer: A
Q R S P In the diagram above, the area of PQRS is 73.5cm2 and its height is 10.5cm. find the length of PS if QR is one- third of PS.
A
21cm
B
171/2cm
C
14cm
D
101/2cm
Mathematics JAMB 1990 Q32 ✓ Answer: D
The angle of a sector of a circle, radius 10.5cm, is 480. calculate the perimeter of the sector
A
8.8cm
B
25.4cm
C
25.6cm
D
29.8cm P
Mathematics JAMB 1990 Q34 ✓ Answer: B
X 4 cm 5 cm P 3 cm Q 3 cm Y Z In triangle XYZ and XQP, XP = 4cm, XQ= 5cm and PQ = QY = 3ccm. Find ZY
A
8cm
B
6ccm
C
4cm
D
3cm
Mathematics JAMB 1990 Q35 ✓ Answer: B
Find the length of a side of a rhombus whose diagonals are 6cm and 8cm.
A
8cm
B
5cm
C
4cm
D
3cm
Mathematics JAMB 1990 Q39 ✓ Answer: C
If cos q = 12/13, find 1 + cot2 q
A
169/25
B
25/169
C
169/144
D
144/169
Mathematics JAMB 1990 Q40 ✓ Answer: B
X 8 cm Z Y In the figure above, YXZ = 300, XYZ = 1050 and XY = 8cm. Calculate YZ.
A
162√cm
B
8√2cm
C
4√2cm
D
2√2cm
Mathematics JAMB 1990 Q41 ✓ Answer: B
S O 6 cm 8 cm T 11 cm P R Q In the figure above PQR is a semicircle. Calculate the area of the shaded region.
A
1252/7cm2
B
1492/7cm2
C
2431/7cm2
D
2671/2cm2
Mathematics JAMB 1990 Q43 ✓ Answer: A
If the height of two circular cylinders are in the ratio 2:3 and their base radii are in the ratio 9. what is the ratio of their volume
A
27:32
B
27:23
C
23:32
D
21:27
Mathematics JAMB 1990 Q45 ✓ Answer: B
The locus of a point which moves so that it is equidistant from two intersecting straight lines is the
A
perpendicular bisector of the two lines
B
angle bisector of the two lines
C
bisector of the two lines
D
line parallel to the two lines 4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the sectors representing all numbers equal to or greater than 16.
Mathematics JAMB 1990 Q49 ✓ Answer: B
Two numbers are removed at random from the numbers 1,2,3 and 4. what is the probability that the sum of the numbers removed is even?
A
2/3
B
½
C
1/3
D
¼
Mathematics JAMB 1990 Q50 ✓ Answer: B
Find the probability that a number selected at random from 41 to 56 is a multiple of 9
A
1/9
B
2/15
C
3/16
D
7/8 [PAGE 28]