➗ 1994

JAMB Mathematics 1994 past questions

36 questions from the 1994 JAMB UTME Mathematics paper. Free, with answers where available.

Mathematics JAMB 1994 Q1 ✓ Answer: D
Calculate 33105 - 14425
A
13135
B
21135
C
43025
D
11035
Mathematics JAMB 1994 Q2 ✓ Answer: A
Convert 3.1415926 to 5 decimal places
A
3.14160
B
3.14159
C
0.31415
D
3.14200
Mathematics JAMB 1994 Q3 ✓ Answer: B
are factors of px3 + qx2 + 11x - 6
A
-1,-6
B
1,-6
C
1,6
D
6,-1
Mathematics JAMB 1994 Q3 ✓ Answer: C
The length of a notebook 15cm, was measured as 16.8cm. calculate the percentage error to 2 significant figures.
A
12.00%
B
11.00%
C
10.71%
D
0.12%
Mathematics JAMB 1994 Q5 ✓ Answer: D
Express the product of 0.0014 and 0.011 in standard form.
A
1.54 x 102
B
1.54 x 10-3
C
1.54 x 104
D
1.54 x 10-5
Mathematics JAMB 1994 Q6 ✓ Answer: D
Given that “2 = 1.414, find without using tables, the value of 1/”2
A
0.141
B
0.301
C
0.667
D
0.707
Mathematics JAMB 1994 Q6 ✓ Answer: D
Evaluate (813/4 - 27 1/3) 3 x 23
A
27
B
1
C
1/3
D
1/8
Mathematics JAMB 1994 Q7 ✓ Answer: D
Find the value of (16)3/2 + log100.0001 + log232
A
0.065
B
0.650
C
6.500
D
65.00
Mathematics JAMB 1994 Q8 ✓ Answer: B
Given that for sets A and B, in a universal set E, A⊆ B then A∩(A∩B)’ is
A
A
B
O/
C
B
D
Mathematics JAMB 1994 Q8 ✓ Answer: B
Simplify √12 - √3 √12 + √3
A
1/3
B
0
C
9/15
D
1
Mathematics JAMB 1994 Q9 ✓ Answer: B
Four members of a school first eleven cricket team are also members of the first fourteen rugby team. How many boys play for at least one of the two teams?
A
25
B
21
C
16
D
3
Mathematics JAMB 1994 Q10 ✓ Answer: B
Simplify [(2m - u)2 – (m – 2u)2] (5m2 – 5u2)
A
¾
B
2/5
C
2m – u/5m + u
D
m – 2u/m + 5u
Mathematics JAMB 1994 Q10 ✓ Answer: C
If S = (x : x2 = 9, x > 4), then S is equal to
A
0
B
{0}
C
f
D
{f}
Mathematics JAMB 1994 Q11 ✓ Answer: D
Factorize a2x – b2y – b2x + a2y
A
(a - b)(x + y)
B
(y - x)(a - b)(a + b)
C
(x - y)(a - b)(a + b)
D
(x + y)(a - b)(a + b)
Mathematics JAMB 1994 Q11 ✓ Answer: A
If x – 1 and x + 1 are both factors of the equation x3 + px3 + qx + 6 = 0, evaluate p and q
A
–6, -1
B
6, 1
C
-1
D
6, -6
Mathematics JAMB 1994 Q12 ✓ Answer: D
Find a positive value of p if the equation 2x2 – px + p leaves a remainder 6 when added
A
1
B
2
C
3
D
4
Mathematics JAMB 1994 Q13 ✓ Answer: A
x (3.0) (0.-27) The equation of the graph above is
A
y = (x - 3)3
B
y = (x + 3)3
C
y = x3 – 27
D
y = -x3 + 27
Mathematics JAMB 1994 Q13 ✓ Answer: C
Find r in terms of K, Q and S if s = 2r√ (QπΤ+Κ)
A
r2 - k
B
r2 - k 2πr2Q Q 4πr2Q
C
r2 - k
D
r2 - k 2πr2Q 4πr2Q
Mathematics JAMB 1994 Q14 ✓ Answer: A
The graph of f(x) = x2 - 5x + 6 crosses the x-axis at the points probability of the students who read both newspapers and novel?
A
1/2
B
2/3 C 3/8
C
(-6, 0)(1, 0)
D
3/11 Mathematics 1995
Mathematics JAMB 1994 Q17 ✓ Answer: C
Find the range of values of x for which 1/x > 2 is true
A
x < ½
B
x < 0 or x > ½
C
0 < x < ½
D
1 < x < 2 [PAGE 38]
Mathematics JAMB 1994 Q18 ✓ Answer: C
2x-y-2=0 -4 -2 x -2 1 2 3 Find the inequality which represents the shaded portion in the diagram
A
2x – y – 2 £ 0
B
2x – y – 2 ³ 0
C
2x – y – 2 < 0
D
2x – y – 2 > 0
Mathematics JAMB 1994 Q21 ✓ Answer: C
Find the nth term of the sequence 3,6,10,15,21,…..
A
n(n - 1/2)
B
n(n + 1/2)
C
(n + 1)(n + 2)/2
D
n(2n + 1)
Mathematics JAMB 1994 Q26 ✓ Answer: C
O O The equation of the line in the graph above is
A
3y = 4x + 12
B
3y = 3x + 12
C
3y = -4x + 12
D
3y = -4x + 9
Mathematics JAMB 1994 Q28 ✓ Answer: D
If three angles of a quadrilateral are (3y – x - z)0, 3x0, (2z – 2y - x) 0, find the fourth angle in terms of x, y, and z.
A
(360 – x – y - z)0
B
(360 + x + y - z)0
C
(180 – x + y + z)0
D
(180 + x + y + z)0
Mathematics JAMB 1994 Q29 ✓ Answer: A
An open rectangular box is made of wood 2cm thick. If the internal dimensions of the box are 50cm long, 36cm wide and 20cm deep, the volume of wood in the box is
A
11520cm3
B
36000cm3
C
38200cm3
D
47520cm3
Mathematics JAMB 1994 Q32 ✓ Answer: B
5 cm 6 cm 7 cm [PAGE 39] In the diagram above, find h.
A
12/7cm
B
12/7 V6cm
C
7/12cm
D
1/2 V51cm
Mathematics JAMB 1994 Q33 ✓ Answer: A
In the frustum of a cone shown above, the top diameter is twice the bottom diameter. If the height of the frustum is h centimeters, find the height of the cone.
A
2h
B
2πh
C
πh
D
πh/2
Mathematics JAMB 1994 Q35 ✓ Answer: D
If M(4,q) is the mid-point of the line joining L(p, -2) and N(q, p), find the values of p and q.
A
p = 2, q = 4
B
p = 3, q = 1
C
p = 5, q = 3
D
p = 6, q = 2
Mathematics JAMB 1994 Q37 ✓ Answer: C
The angle of depression of a boat from the top of a cliff 10m high is 300. how far is the boat from the foot of the cliff?
A
5√3/3m
B
5√3m
C
10√3m
D
10√3/3m
Mathematics JAMB 1994 Q38 ✓ Answer: C
What is the value of sin (-6900)?
A
√3/2
B
-√3/2
C
-1/2
D
½
Mathematics JAMB 1994 Q40 ✓ Answer: A
Find the point (x, y) on the Euclidean plane where the curve y = 2x2 – 2x + 3 has 2 as gradient.
A
(1,3)
B
(2,7)
C
(0,3)
D
(3,15)
Mathematics JAMB 1994 Q41 ✓ Answer: C
Integrate (1 – x)/x3 with respect to x.
A
(x – x2)/(x4 + k)
B
4/x4 – 3/x3 + k
C
1/x – 1/2x2 + k
D
1/3x3 – 1/2x + k
Mathematics JAMB 1994 Q43 ✓ Answer: D
O 64.8 O 43.2 O A2 F O A1 The grades A1, A2, A3, C4 and F earned by students in a particular course are shown in the pie chart above. What percentage of the students obtained a C4 grade?
A
52.0
B
43.2
C
40.0
D
12.0
Mathematics JAMB 1994 Q47 ✓ Answer: C
Estimate the median of the frequency distribution above.
A
101/2
B
111/2
C
121/2
D
13
Mathematics JAMB 1994 Q49 ✓ Answer: C
10 11 12 Age in years 6 27 7 Number of pupils The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?
A
27/40
B
17/20
C
33/40
D
3/20 [PAGE 40]
Mathematics JAMB 1994 Q50 ✓ Answer: C
The chances of three independent event X, Y, Z occurring are 1/2 , 2/3, ¼ respectively. What are the chances of y and z only occurring?
A
1/8
B
1/24
C
1/12
D
¼