2002 - JAMB Mathematics Past Questions and Answers - page 1
1
Without using tables, evaluate (343)1/3 x (
0.14)-1 x (25)-1/2
0.14)-1 x (25)-1/2
A
10
B
12
C
8
D
7
correct option: a
Start by breaking down (343)1/3 x (
0.14)-1 x (25)-1/2 to their usual meanings.
(3√343) x (1/0.14) x (√25) = 10
Users' Answers & Comments0.14)-1 x (25)-1/2 to their usual meanings.
(3√343) x (1/0.14) x (√25) = 10
2
In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 mathematics. How many offer Biology but not Mathematics?
A
95
B
80
C
125
D
110
correct option: d
Hint: Represent the question in a venn diagram, such that
n(B ∩ M) = x
n(B) only = 125-x
n(M) only = 110-x
=> 125-x + 110-x + x = 220
=> x = 15.
n(B) only = 125 - 15 = 110
Users' Answers & Commentsn(B ∩ M) = x
n(B) only = 125-x
n(M) only = 110-x
=> 125-x + 110-x + x = 220
=> x = 15.
n(B) only = 125 - 15 = 110
4
Simplify (√0.7 + √70)2
A
84.7
B
70.7
C
217.7
D
168.7
correct option: a
Hint: (√a+√b)2 = (√a)2 + (√b)2 + 2√ab = a + b + 2√ab
Applying the above to thge question, we have:
0.7 + 70 + 2 x √(0.7 x 70) = 0.7 + 70 + 2√49 = 84.7
Users' Answers & CommentsApplying the above to thge question, we have:
0.7 + 70 + 2 x √(0.7 x 70) = 0.7 + 70 + 2√49 = 84.7
5
Evaluate:
(0.21 x 0.072 x 0.00054) (0.006 x 1.68 x 0.063), correct to 4.s.f
(0.21 x 0.072 x 0.00054) (0.006 x 1.68 x 0.063), correct to 4.s.f
A
0.01286
B
0.01285
C
0.1286
D
0.1285
correct option: a
Users' Answers & Comments6
A trader bought goats for N4000 each. He sold them for N180,000 at a loss of 25%. How many goats did he buy?
A
60
B
50
C
45
D
36
correct option: a
Let the number of goats be X
C.P of X goats = N4000X
S.P of X goats = (75/100) x 4000X = N3000X
3000X = 180,000
=> X = 180000/3000 = 60.
X = 60 goats
Users' Answers & CommentsC.P of X goats = N4000X
S.P of X goats = (75/100) x 4000X = N3000X
3000X = 180,000
=> X = 180000/3000 = 60.
X = 60 goats
7
If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x.
A
2x2 - 3x
B
x2 - 3x
C
x2 - 3x - 3
D
x2 - 3x + 3
correct option: d
dy/dx = 2x - 3
y = ∫2x - 3 dx => y = x2 - 3x + c
3 = (0)2 - 3(0) + c
=> c = 3
Thus y = x2 - 3x + 3
Users' Answers & Commentsy = ∫2x - 3 dx => y = x2 - 3x + c
3 = (0)2 - 3(0) + c
=> c = 3
Thus y = x2 - 3x + 3
8
Find the derivative of y = sin2(5x) with respect to x.
A
10 sin 5x cos 5x
B
5 sin5x cos 5x
C
2 sin 5x cos 5x
D
15 sin 5x cos 5x
correct option: a
Users' Answers & Comments9
The slope of the tangent to the curve y = 3x2 - 2x + 5 at the
point (1, 6) is
point (1, 6) is
A
4
B
1
C
6
D
5
correct option: a
Users' Answers & Comments10
Evaluate ∫sin 3x dx
A
(2/3) cos 3x + c
B
(1/3) cos 3x + c
C
(-1/3) cos 3x + c
D
(-2/3) cos 3x + c
correct option: c
Users' Answers & Comments