➗ 1983

JAMB Mathematics 1983 past questions

23 questions from the 1983 JAMB UTME Mathematics paper. Free, with answers where available.

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Mathematics JAMB 1983 Q1 ✓ Answer: D
If M represents the median and D the mode of the measurements 5, 9, 3, 5, 8 then (M,D) is
A
(6,5)
B
(5,8)
C
(5,7)
D
(5,5)
E
(7,5)
Mathematics JAMB 1983 Q4 ✓ Answer: B
Solve the following equations 4x – 3 = 3x + y = 2y + 5x – 12
A
4x = 5, y = 2
B
x = 2, y = 5
C
x = -2, y = -5
D
x = 5, y = -2
E
x = -5, y = -2
Mathematics JAMB 1983 Q5 ✓ Answer: C
If x = 1 is root of the equation x3 – 2x2 – 5x + 6, find the other roots
A
-3 and 2
B
–2 and 2
C
3 and –2
D
1 and 3
E
–3 and 1
Mathematics JAMB 1983 Q7 ✓ Answer: B
P Q O O 8 cm S R In the above figure PQR = 600, QPR = 900, PRS = 900, RPS = 450, QR= 8cm. Determine PS
A
2√3cm
B
4√6cm
C
2√6cm
D
8√6cm
E
8cm
Mathematics JAMB 1983 Q8 ✓ Answer: C
Given that cos z = L, where z is an acute angle find an expression for Co +Z - cosecz sec Z + tan z
A
l - L
B
L2-√1−L2
C
-L-√1−L 1+L L2+L-1 (C1+L) +√1−L2
D
√L−1.
E
L-(L2-1) (L1+L2) +√1−L2 1+ √1 - L2+ √1 - L2
Mathematics JAMB 1983 Q10 ✓ Answer: A
If x + 2 and x – 1 are factors of the expressions lx + 2kx2 + 24, find the values of l and k
A
l = -6, k = -9
B
l = -2, k = 1
C
l = -2, k = -1
D
l = 0, k = 1
E
l = 6, k = 0
Mathematics JAMB 1983 Q11 ✓ Answer: B
Make T the subject of the equation av = 3 2V + T 1- V a 2T
A
3av/(1-v)
B
2v(1-v)2 - a2v2/2a2v2 - (1-V)2
C
2v(1 - v)2 + a3v2/ 2a2v2 + (1 - v)2
D
2v(1 - v)2 - a4v3/2a3v3 - (1 - v)3
E
2v(1-v)3 - a4v3/2a3v3 + (1-v)3
Mathematics JAMB 1983 Q14 ✓ Answer: B
y varies partly as the square of x and y partly as the inverse of the square root of x. write down the expression for y if y = 2 when x = 1 and y = 6 when x =
A
y = 10x2 + 52
B
y = x2 + 1 31 31√x √x
C
y = x2 + 1
D
y = x2 + 1
E
y = 10 (x2 + 1 ) x 31 31√ x 31( √x)
Mathematics JAMB 1983 Q15 ✓ Answer: A
Simplify (x – 7) / (x2 – 9) ( x2 – 3x)/( x2 - 49)
A
x/ (x - 3)(x + 7)
B
(x + 3) (x + 7)/x
C
x/(x - 3) (x -
Mathematics JAMB 1983 Q18 ✓ Answer: D
-3 -2 -1 3 2 1 -3 -6 -9 -12 -15 x Which of the following equations represents the above graph?
A
y = 1 + 2x + 3x2
B
y = 1 – 2x + 3x2
C
y = 1 + 2x 3x2
D
y = 1 – 2x – 3x2
E
y = 3x2 + 2x - 1 H G x
Mathematics JAMB 1983 Q23 ✓ Answer: E
If w varies inversely as V and u varies directly as w3, find the relationship between u and V given that u = 1, when V = 2
A
u = 8V3
B
u = 2 V
C
V = 8/u2
D
V = 8u2
E
U = 8/v3
Mathematics JAMB 1983 Q24 ✓ Answer: D
Solve the simultaneous equations for x x2 + y – 8 = 0 y + 5x – 2 = 0
A
–28, 7
B
6, -28
C
6, -1
D
–1, 7
E
3, 2
Mathematics JAMB 1983 Q27 ✓ Answer: D
Find the angle of the sectors representing each item in a pie chart of the following data. 6,10,14,16,26
A
150, 250,350,400,650,
B
600, 1000,1400,1600,2600
C
60, 100,140,160,260,
D
300, 500,700,800,1300
E
None of the above
Mathematics JAMB 1983 Q29 ✓ Answer: C
The letters of the word MATRICULATION are cut and put into a box. One of the letter is drawn at random from the box. Find the probability of drawing a vowel.
A
2/13
B
5/13
C
6/13
D
8/13
E
4/13
Mathematics JAMB 1983 Q30 ✓ Answer: C
Correct each of the number 59.81789 and 0.0746829 to three significant figures and multiply them, giving your answer to three significant figures.
A
4.46
B
4.48
C
4.47
D
4.49
E
4.50
Mathematics JAMB 1983 Q32 ✓ Answer: C
If (2/3)m (3/4)n = 256/729, find thevalues of m and n
A
m = 4, n = 2
B
m = -4, n = -2
C
m = -4, n = 2
D
m = 4, n = -2
E
m = -2, n = 4
Mathematics JAMB 1983 Q34 ✓ Answer: E
Factorize completely 81a4 – 16b4
A
(3a + 2b) (2a – 3b) (9a2 + 4b2)
B
(3a - 2b) (2a – 3b) (4a2 - 9b2)
C
(3a - 2b) (3a – 2b) (9a2 + 4b2)
D
(3a - 2b) (2a – 3b) (9a2 + 4b2)
E
(3a - 2b) (2a – 3b) (9a2 - 4b2)
Mathematics JAMB 1983 Q39 ✓ Answer: D
On a square paper of length 2.524375cm is inscribed a square diagram of length 0.524375. find the area of the paper no covered by the diagram correct to 3 significant figures.
A
6.00cm2
B
6.10cm2
C
6.cm2
D
6.09cm2
E
4.00cm2
Mathematics JAMB 1983 Q42 ✓ Answer: B
Simplify 27a9/8
A
9a2/2
B
9a3/2
C
2/3a2
D
2/3a2
E
3a3/2 Okro 14.5 kg Beans 14.5 kg
Mathematics JAMB 1983 Q44 ✓ Answer: C
(x+3y) O O R Q P O (3x+y) O In the figure above, PQR is a straight line. Find the values of x and y
A
x = 22.50 and y = 33.750
B
x = 150 and y = 52.50
C
x = 22.50 and y = 45.00
D
x = 56.250 and y = 11.50
E
x = 18.0 and y = 56.50
Mathematics JAMB 1983 Q45 ✓ Answer: D
PQR is the diameter of a semicircle RSP with centre at Q and radius of length 3.5cmc. if QPT = QRT = 600. Find the perimeter of the figure (PTRS p = 22/7) S O O O R P T
A
25cm
B
18ccm
C
36cm D 29cm E 255cm [PAGE 5]
Mathematics JAMB 1983 Q46 ✓ Answer: D
In a triangle PQR, QR = 3cm, PR = 3cm, PQ = 3cm and PQR = 300. find angles P and R
A
P = 600 and R = 900
B
P = 300 and R = 1200
C
P = 900 and R = 600
D
P = 600 and R = 600
E
P = 450 and R = 1050
Mathematics JAMB 1983 Q48 ✓ Answer: C
Find the mean of the following 24.57,25.63,25.32,26.01,25.77
A
25.12
B
25.30
C
25.26
D
25.50q
E
25.73 Mathematics 1984