➗ 1998

JAMB Mathematics 1998 past questions

31 questions from the 1998 JAMB UTME Mathematics paper. Free, with answers where available.

Mathematics JAMB 1998 Q1 ✓ Answer: A
+ log2x = 2, solve for x and y respectively
A
2, 3
B
3, 2
C
-2, -3
D
-3, -2
Mathematics JAMB 1998 Q1 ✓ Answer: A
the remainder is 4. find p and q respectively
A
2, -1
B
-1, 2
C
3, -2
D
-2, 3
Mathematics JAMB 1998 Q1 ✓ Answer: C
If (a2b3c)/a-1b4c5 What is the value of P + 2q?
A
5/2
B
–5/4
C
–25/4
D
–10
Mathematics JAMB 1998 Q2 ✓ Answer: D
Evaluate [1/0.03 ÷ 1/0.024] -1, correct to 2 decimal places
A
3.76
B
1.25
C
0.94
D
0.75
Mathematics JAMB 1998 Q2 ✓ Answer: D
Find the value of x if √2/(x + √2) = 1/(x - √2)
A
3√2 + 4
B
3√2 – 4
C
3 - 2√2
D
4 + 2√2
Mathematics JAMB 1998 Q3 ✓ Answer: B
If b3 = a-3 and c 1/3 = a1/2b, express in terms of a
A
a-1/2
B
a1/2
C
a3/2
D
a-2/3
Mathematics JAMB 1998 Q8 ✓ Answer: D
If log810 = x, evaluate log85 in terms of x.
A
1/2x
B
x – 1/4
C
x – 1/3
D
x – 1/2
Mathematics JAMB 1998 Q11 ✓ Answer: C
Factorize r2 – r (2p + q) + 2pq
A
(r – 2q)(2r - p)
B
(r - q)(r + p)
C
(r - q)(r – 2p)
D
(2r - q)(r + p)
Mathematics JAMB 1998 Q12 ✓ Answer: A
Solve the equation x - (x - 2) – 1 = 0
A
3/2
B
2/3
C
4/9
D
9/4
Mathematics JAMB 1998 Q13 ✓ Answer: A
Find the range of values of m for which the roots of the equation 3x2 – 3mx + (m2 – m - 3) = 0
A
-1<m<7
B
-2<m<6
C
-3<m<9
D
-4<m<8
Mathematics JAMB 1998 Q14 ✓ Answer: D
Make a/x the subject of the formula x + a/x – a = m
A
m – 1/m + 1
B
1 + m/1 – m
C
1-m/1 + m
D
m + 1/m – 1
Mathematics JAMB 1998 Q15 ✓ Answer: A
Divide 2x3 + 11x2 + 17x + 6 by 2x + 1
A
x2 + 5x + 6
B
2x2 + 5x + 6
C
2x2 – 5x + 6
D
x2 – 5x + 6
Mathematics JAMB 1998 Q16 ✓ Answer: A
Express in partial fractions 11x + 2 6x2 – x – 1
A
1/3x – 1 + 3/2x + 1
B
3/3x + 1 – 1/2x – 1
C
3/3x – 1 – 1/2x + 1
D
1/3x + 1 + 3/2x- 1
Mathematics JAMB 1998 Q17 ✓ Answer: C
If x is a positive real number, find the range of values for which 1/3x + ½ > 1/4x
A
x> - 1/6
B
x>0
C
0<x<4
D
0<x<1/6
Mathematics JAMB 1998 Q18 ✓ Answer: D
(0, 3) x (2, 0) The shaded area above represents
A
x≥0, 3y + 2x ≥ 6
B
x≥ 0, y≥3, 3x + 2y≥ 6
C
x ≥ 2, y ≥ 0, 3x + 2y ≤6
D
x ≥ 0, y ≥ 0, 3x + 2y≥6 [PAGE 46]
Mathematics JAMB 1998 Q19 ✓ Answer: C
If p + 1, 2p – 10 ,1 – 4p2 are the consecutive terms of an arithmetic progression, find the possible values of p.
A
-4, 2
B
–2, 4/11
C
–11/4, 2
D
5, -3
Mathematics JAMB 1998 Q20 ✓ Answer: D
The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ration of the progression.
A
¼
B
½
C
1/3"3
D
1/3"2
Mathematics JAMB 1998 Q27 ✓ Answer: C
R S T 10cm 8cm In the figure above, PQST is a parallelogram and TSR is a straight line. If the area of ∠QRS is 20cm2, find the area of the trapezium PQRT.
A
35cm2
B
65cm2
C
70cm2
D
140cm2 X
Mathematics JAMB 1998 Q31 ✓ Answer: B
The locus of all points at a distance 8 cm from a point N passes through point T and S. if S is equidistant from T and N , find the area of triangle STN.
A
4√3 cm2
B
16√3 cm2
C
32cm2
D
64 cm2
Mathematics JAMB 1998 Q34 ✓ Answer: D
Solve the equation cos x + sin x = 1/cos x – sinx for values of x such that 0 ≤ x < 2π
A
π/2, 3π/2
B
π/3, 2π/3
C
0, π/3
D
0, π [PAGE 47] P
Mathematics JAMB 1998 Q35 ✓ Answer: C
R O T Q In the diagram above, QTR is a straight line and∠ PQT = 300. find the sine of ∠PTR.
A
8/15
B
2/3
C
¾
D
15/16
Mathematics JAMB 1998 Q36 ✓ Answer: C
For what value of x does 6 sin (2x - 25)0 attain its maximum value in the range 00 ≤x ≤ 1800?
A
121/2
B
321/2
C
571/2
D
1471/2
Mathematics JAMB 1998 Q37 ✓ Answer: A
From the top of a vertical mast 150m high, two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 600 and 450 respectively. Find the distance between the huts.
A
150 (1 + √3)m
B
50 (3 + √3)m
C
150√3m
D
50/√3m
Mathematics JAMB 1998 Q38 ✓ Answer: D
If y = 243 (4x + 5)-2, find dy/dx when x = 1
A
-8/3
B
3/8
C
9/8
D
–8/9
Mathematics JAMB 1998 Q39 ✓ Answer: D
Differentiate x/cos x with respect to x.
A
1 + x sec x tan x
B
1 + sec2x
C
cos x + x tan x
D
sec x + x sec x tan x
Mathematics JAMB 1998 Q40 ✓ Answer: A
Evaluate π2(sec2x – tan2x)dx
A
π/2
B
π - 2
C
π/3
D
π + 2
Mathematics JAMB 1998 Q41 ✓ Answer: D
Find the equation of the curve which passes through the point (2, 5) and whose gradient at any point is given by 6x - 5
A
6x2 – 5x + 5
B
6x2 + 5x + 5
C
3x2 – 5x – 5
D
3x2 – 5x + 3
Mathematics JAMB 1998 Q43 ✓ Answer: C
No . of workers 17 32 25 24 Estimate the mode of the above frequency distribution.
A
12.2
B
12.7
C
12.9
D
13.4
Mathematics JAMB 1998 Q48 ✓ Answer: C
The bar chart above shows the distribution of marks scored by 60 pupils in a test in which the maximum score was 10. if the pass mark was 5, what percentage of the pupils failed the test?
A
59.4%
B
50.0%
C
41.7%
D
25.0%
Mathematics JAMB 1998 Q49 ✓ Answer: C
In a recent zonal championship games involving 10teams, teams X and Y were given Probabilities 2/ 5 and 1/3 respectively of wining the gold in the football event. What is the probability that either team will win the gold?
A
2/15
B
7/15
C
11/15
D
13/15
Mathematics JAMB 1998 Q50 ✓ Answer: A
If x, y can take values from the set {1,2,3,4,}, find the probability that the product of x and y is not greater than 6.
A
5/8
B
5/16
C
½
D
3/8 [PAGE 48]