➗ 1997

JAMB Mathematics 1997 past questions

21 questions from the 1997 JAMB UTME Mathematics paper. Free, with answers where available.

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Mathematics JAMB 1997 Q8 ✓ Answer: B
Find the simple interest rate per cent per annum at which #1000 accumulates to #1240 in 3 years.
A
6%
B
8%
C
10%
D
12% If U = {S,P,L,E,N,D,O,U,R} X = {S,P,E,N,D} Y = {P,N,O,U,R} Find X∩(Y’UZ).
Mathematics JAMB 1997 Q12 ✓ Answer: A
Solve the simultaneous equations 2/x – 3/y = 2, 4/x + 3/y = 10
A
x = 3/2, y = ½
B
x = ½, y = 3/2
C
x = -1/2, y = -3/2
D
x = ½, y = - 3/2
Mathematics JAMB 1997 Q13 ✓ Answer: A
Find the minimum value of x2 – 3x + 2 for all real values of x.
A
-1/4
B
-1/2
C
¼
D
½
Mathematics JAMB 1997 Q14 ✓ Answer: B
Make f the subject of the formula t = v 1 + 1 f g
A
gv – t2/gt2
B
gt2/gv – t2
C
v/t1/2 - 1/g
D
gv/t2 – g
Mathematics JAMB 1997 Q17 ✓ Answer: B
Let f(x) = 2x + 4 and g(x) = 6x + 7 where g(x) > 0. solve the inequality f(x)/g(x) < 1
A
x < - ¾
B
x > - 4/3
C
x > - 3/4
D
x > - 12
Mathematics JAMB 1997 Q18 ✓ Answer: A
Find the range of values of x which satisfies the inequality 12x2< x + 1
A
-1/4 < x < 1/3
B
¼ < x <1/3
C
-1/3 < x<1/4
D
-1/4 < x <-1/3
Mathematics JAMB 1997 Q19 ✓ Answer: C
Sn is the sum of the first n terms of a series given by Sn = n2 – 1. find the nth term.
A
4n + 1
B
4n – 1
C
2n + 1
D
2n – 1
Mathematics JAMB 1997 Q20 ✓ Answer: A
The nth term of a sequence is given by 31-n. find the sum of the first three terms of the sequence.
A
13/9 B
C
1/3
D
1/9
Mathematics JAMB 1997 Q27 ✓ Answer: B
2 cm X Y The figure above shows circles of radii 3cm and 2cm with centres at X and Y respectively. The circles have a transverse common tangent of length 25cm. Calculate XY.
A
630 cm
B
626 cm
C
615 cm
D
600 cm
Mathematics JAMB 1997 Q29 ✓ Answer: A
An arc of a circle subtends an angle of 700 at the centre. If the radius of the circle is 6cm, calculate the area of the sector subtended by the given angle.
A
22 cm2
B
44 cm2 π
C
66 cm2
D
88 cm2
Mathematics JAMB 1997 Q30 ✓ Answer: D
5 cm 8 cm 11 cm 10 cm Find the volume of the prism above. [PAGE 44]
A
990 cm3
B
880 cm3
C
550 cm3
D
495 cm3
Mathematics JAMB 1997 Q33 ✓ Answer: C
The angle between the positive horizontal axis and a given line is 1350. find the equation of the line if it passes through the point (2, 3).
A
x – y = 1
B
x + y = 1
C
x + y = 5 D x – y = 5
Mathematics JAMB 1997 Q35 ✓ Answer: B
The angle of elevation of a building from a measuring instrument placed on the ground is 300. if the building is 40m high, how far is the instrument from the foot of the building?
A
20√3m
B
40√3m
C
20√3m
D
40√3m
Mathematics JAMB 1997 Q36 ✓ Answer: D
In a triangle XYZ, if <XYZ is 600, XY = 3cm and YZ = 4cm, calculate the length of the side XZ.
A
“23cm
B
“13cm
C
2"5cm
D
2"3cm X
Mathematics JAMB 1997 Q37 ✓ Answer: A
2 cm 5 cm Z O E Y In the figure above, XYZ is a triangle with XY = 5cm, XZ = 2cm and XZ is produced to E making the angle YZE = 1500. if the angle XYZ = è, calculate the value of the sin è.
A
3/5
B
½
C
2/5
D
1/5
Mathematics JAMB 1997 Q38 ✓ Answer: D
Differentiate 6x3-5x2+1 3x2
A
2 + 2/3x3
B
2 + 1/6x
C
2-2/3x3
D
2-1/6x
Mathematics JAMB 1997 Q39 ✓ Answer: D
d/dx cos(3x2 – 2x) is equal to
A
-sin(6x - 2)
B
-sin(3x2 – 2x)
C
(6x - 2) sin(3x2 – 2x)
D
(6x - 2) sin (3x2 – 2x)
Mathematics JAMB 1997 Q40 ✓ Answer: D
Find the gradient of the curve y = 2 √x – 1/x at the point x= 1
A
0
B
1
C
2
D
3
Mathematics JAMB 1997 Q41 ✓ Answer: B
Integrate 1/x + cos x with respect to x.
A
-1/x2 + sin x + k
B
1nx + sin x + k
C
1nx – sin x + k
D
-1/x2 – sin x + k
Mathematics JAMB 1997 Q43 ✓ Answer: C
Housing Basic O O Others Transport O 50 O Meal The pie chart above shows the income of a civil servant in a month. If his monthly income is #6000, find his monthly basic salary.
A
#2000
B
#2600
C
#3100
D
#3450
Mathematics JAMB 1997 Q49 ✓ Answer: A
In a basket of fruits, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?
A
17/30
B
11/30
C
6/30
D
5/30 Mathematics 1998