➗ 2003

JAMB Mathematics 2003 past questions

17 questions from the 2003 JAMB UTME Mathematics paper. Free, with answers where available.

Mathematics JAMB 2003 Q0 ✓ Answer: B
what is the equation of PQ?
A
y = 3x + 2
B
y = 3x – 4
C
y = 3x + 4
D
y = 3x – 2
Mathematics JAMB 2003 Q3 ✓ Answer: B
Simplify 2134 x 234
A
132114
B
103114
C
103214
D
122314 [PAGE 59]
Mathematics JAMB 2003 Q7 ✓ Answer: A
Evaluate log√24 + log1/216 – log432
A
-2.5
B
5.5
C
–5.5
D
2.5
Mathematics JAMB 2003 Q8 ✓ Answer: C
Given: U = {Even numbers between 0 and 30} P = {Multiples of 6 between 0 and 30} Q = {Multiples of 4 between 0 and 30} Find (PUQ)c.
A
{0, 2, 6, 22, 26}
B
{2, 4, 14, 18, 26}
C
{2, 10, 14, 22, 26}
D
{0, 10, 14, 22, 26}
Mathematics JAMB 2003 Q10 ✓ Answer: D
Find (1/0.06 ÷ 1/0.042)-1, correct to two decimal places
A
4.42
B
3.14
C
1.53
D
1.43
Mathematics JAMB 2003 Q12 ✓ Answer: D
Factorize completely 4abx – 2axy – 12b2x +6bxy
A
2x(3b - a)(2b - y)
B
2x(a – 3b)(b - 2y)
C
2x(2b - a)(3b - y)
D
2x(a – 3b)(2b - y)
Mathematics JAMB 2003 Q16 ✓ Answer: C
Find the values of x and y respectively if 3x – 5y + 5 = 0 and 4x – 7y + 8 = 0
A
-4, -5
B
–5, -4
C
5, 4
D
4, 5
Mathematics JAMB 2003 Q18 ✓ Answer: A
Find the range of values of x satisfying the inequalities 5 + x ≤ 8 and 13 + ³ 7.
A
-6 ≤ x ≤ 3
B
-6 ≤ x ≤ -3
C
3 ≤ x ≤ 6
D
–3 ≤ x ≤ 3
Mathematics JAMB 2003 Q20 ✓ Answer: D
y - x = 0 P x + 1 = 0 x O y + x = 0 Q Triangle OPQ above is the solution of the inequalities.
A
x – 1 ≤ 0, y + x ≤ 0, y, - x ≤ 0
B
x + 1 ≥ 0, y + x ≤ 0, y, - x ≥ 0
C
y + x ≤ 0, y – x ≥ 0, x – 1 ≥ 0
D
x –1 ≤ 0, y – x ≥ 0, y + x ≥ 0
Mathematics JAMB 2003 Q21 ✓ Answer: B
Three consecutive terms of a geometric progression are given as n – 2, n and n + 3. find the common ratio.
A
2/3
B
3/2
C
½
D
¼
Mathematics JAMB 2003 Q24 ✓ Answer: C
The locus of a point P which moves on one side only of a straight line XY so that ∠ XPY = 900 is.
A
the perpendicular bisector of XY
B
a circle
C
a semicircle
D
an arc of a circle through X,Y P R
Mathematics JAMB 2003 Q30 ✓ Answer: C
Find the value of p, if the line of which passes through (-1, -p) and (-2, 2) is parallel to the line 2y + 8x – 17 = 0.
A
–2/7
B
7/6
C
–6/7
D
6/7
Mathematics JAMB 2003 Q31 ✓ Answer: C
Find the equation of the locus of a point P(x, y) which is equidistant form Q(0,0) and R(2, 1).
A
2x + y = 5
B
2x + 2y = 5
C
4x + 2y = 5
D
4x – 2y = 5
Mathematics JAMB 2003 Q32 ✓ Answer: C
An arc of a circle subtends an angle of 300 on the circumference of a circle of a radius 21cm. Find the length of the arc
A
66cm
B
44cm
C
22cm
D
11cm
Mathematics JAMB 2003 Q34 ✓ Answer: A
O 7 cm X Y XYZ is a circle centre O and radius 7cm. Find the area of the shaded region.
A
14cm2
B
38cm2
C
77cm2
D
84cm2
Mathematics JAMB 2003 Q37 ✓ Answer: A
If y = 3 sin (-4x), dy/ dx is
A
-12 cos (-4x)
B
12 sin (-4x)
C
12x cos (4x)
D
–12x cos (-4x)
Mathematics JAMB 2003 Q44 ✓ Answer: A
On a pie chart, there are four sectors of which three angles are 450, 900 and 1350. if the smallest sector represents #28.00, how much is the largest sector? Mathematics 2004
A
2, 4
B
3, 2
C
(0, 0) and (1, 1)
D
(√2, √2) only 1 3 x Find x and y respectively in the subtraction above c arried out in base 5