➗ 1993

JAMB Mathematics 1993 past questions

15 questions from the 1993 JAMB UTME Mathematics paper. Free, with answers where available.

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Mathematics JAMB 1993 Q12 ✓ Answer: A
Which of the following is a factor of 15 + 7x – 2x2?
A
x-3
B
x+3
C
x-5
D
x+5
Mathematics JAMB 1993 Q14 ✓ Answer: A
Solve the following simultaneous equations for x. x2 + y – 5= 0 y – 7x + 3=0
A
-2, 4
B
2, 4
C
-1, 8
D
1, -8
Mathematics JAMB 1993 Q16 ✓ Answer: C
Q O O x O T 2x O x O P The figure above represents the graphs of y= x (2-x) and y = (x-1) (x-3). What are the x-coordinates of p, q and r respectively?
A
1,3,2
B
0,0,0
C
0,2,3
D
1,2,3
Mathematics JAMB 1993 Q18 ✓ Answer: D
Divide the expression x3 + 7x2 –x –7 by -1 +x2
A
–x3+7x2-x-7
B
–x3-7x+7
C
X-7
D
X+7
Mathematics JAMB 1993 Q20 ✓ Answer: B
Solve the inequality y2-3y>18
A
-2<y<6
B
y<-3 or y>6
C
y>-3 or y>6
D
y<-3 or y<6 If x is negative, what is the range of values of x within which x+1/3 > 1/x+3
Mathematics JAMB 1993 Q23 ✓ Answer: B
If k+1, 2k-1,3k+1 are three consecutive terms of a geometric progression, find the possible values of the common ratio.
A
0,8 B -1, 5/3
C
2, 3
D
1, -1
Mathematics JAMB 1993 Q32 ✓ Answer: A
P 9 cm 4 cm R Q S 3 cm In the diagram above, QPS = SPR, PR= 9cm, PQ= 4cm and QS=3cm. Find SR.
A
63/4
B
33/8
C
43/8
D
22/3
Mathematics JAMB 1993 Q34 ✓ Answer: C
S 5 cm O Q 2 cm T [PAGE 36] In the figure above, the line segment ST is tangent to the two circles at S and T. O and Q are the centres of the circles with OS = 5cm, QT = 2cm and OQ = 14cm. Find ST.
A
7"3
B
12cm
C
“87cm
D
7cm P X Q
Mathematics JAMB 1993 Q35 ✓ Answer: A
T U V Y S R In the figure above, the area of the square PQRS is 100cm2. If the ratio of the area of the square TUYS to the area of the square XQVU is 1:16, find YR
A
6cm
B
7cm
C
8cm
D
9cm
Mathematics JAMB 1993 Q36 ✓ Answer: B
Find the radius of a sphere whose surface area is 154cm2 ( =22/7)
A
7.00cm
B
3.50cm
C
3.00cm
D
1.75cm π
Mathematics JAMB 1993 Q37 ✓ Answer: C
Find the area of the sector of a circle with radius 3m, if the angle of the sector is 600
A
4.0m2
B
4.1m2
C
4.7m2
D
5.0m2
Mathematics JAMB 1993 Q39 ✓ Answer: C
If sin θ= cos 0, find 0 between 00 and 3600.
A
450 ,2250
B
1350 ,3150
C
450 ,3150
D
1350 ,2250
Mathematics JAMB 1993 Q40 ✓ Answer: A
Q P H From the figure above, calculate TH in centimeters.
A
5/(√3+1)
B
5/√3-1
C
5/√3
D
√3/5
Mathematics JAMB 1993 Q41 ✓ Answer: A
If two angles of a triangle are 300 each and the longest side is 10cm, calculate the length of each of the other sides.
A
5cm
B
4cm
C
3√3cm
D
10√3/5cm Quantities in the proportions 1,4,6,7 are to be represented in a pie chart. Calculate the angle of the sector with proportion 7
Mathematics JAMB 1993 Q45 ✓ Answer: C
Estimate the mode of the frequency distribution above.
A
13.2g
B
15.0g
C
16.8g
D
17.5g