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Chemistry
UTME / JAMB 1995
Non-Metals & Their Compounds
Solution
In the industrial production of hydrogen from natural gas, carbon (IV) oxide produced along with the hydrogen is removed by?
A
washing with water under pressure
B
passing the mixture into lime water
C
using ammoniacal copper (l) chloride
D
drying over phoshorus (V) oxide
medium Difficulty
Verified Correct Answer: Option A
Chemical Principles & Mechanism
The carbon (IV) oxide produced along with the hydrogen is removed by dissolving it in water under a pressure of 30atm or other solvents like caustic soda solution.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13678)
Chemistry
UTME / JAMB 1995
Organic Chemistry I: Hydrocarbons & Crude Oil
Diagram
Solution
The functional group represented in the compound above is?
Attached Figure / Diagram
A
alkanol
B
alkanal
C
alkanone
D
alanoate
medium Difficulty
Verified Correct Answer: Option B
Chemical Principles & Mechanism
The carbonyl group in tha alkanal (aldehyde) family is always at the end of a carbon chain
Source: WAEC / JAMB / NECO Classroom Archive (Record #31530)
Mathematics
WAEC / WASSCE 1995
Number Bases & Modular Arithmetic
Solution
Find (101\(_2\))\(^2\), expressing the answer in base 2.
A
10101
B
11001
C
10010
D
11101
E
10110
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
You can convert it to base 10 and square, then re-convert it after the operation.
OR
You can multiply it straight applying the rules of binary multiplication.
Source: Myschool Past Questions Archive (Record #23609)
Mathematics
WAEC / WASSCE 1995
Fractions, Decimals, Percentages & Approximations
Solution
If three children shares N10.50 among themselves in ratio 6:7:8, how much is the largest share?
A
N3.00
B
N3.50
C
N4.00
D
N4.50
E
N5.00
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Ratio = 6 + 7 + 8 = 21
21 = N10.50
1 = 1050K/21 = 50K
6 = 6 x 50K = N3.00
7 = 7 x 50K = N3.50
8 = 8 x 50K = N4.00
the Largest share = N4.00
Source: Myschool Past Questions Archive (Record #23610)
Mathematics
WAEC / WASSCE 1995
Fractions, Decimals, Percentages & Approximations
Express 0.000834 in standard form
A
8.34 x 10-4
B
8.34 x 10-3
C
8.34 x 103
D
8.34 x 104
E
8.34 x 106
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #23611)
Mathematics
WAEC / WASSCE 1995
Plane Geometry, Polygons & Circle Theorems
Solution
Given that log2a = log84, find a
A
21/3
B
42/3
C
42/3
D
22/3
E
23
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Log2a = Log84
Log2a = Log882/3 → 2/3Log88 → 2/3 x 1
Log2a = 2/3
Recall; If Logax = y ∴ ay = x
Log2a = 2/3
22/3 = a
Source: Myschool Past Questions Archive (Record #23690)
Mathematics
WAEC / WASSCE 1995
Fractions, Decimals, Percentages & Approximations
Solution
By selling some crates of soft drinks for N600.00, a dealer makes a profit of 50%. How much did the dealer pay for the drinks?
A
N1,200.00
B
N900.00
C
N450.00
D
N400.00
E
N200.00
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
S.P = N600.00
(100 + 50)% = N600
150% = N600
1% = \(\frac{600}{150}\)
100% = \(\frac{600}{150} \times 100%\)
= N400
Source: Myschool Past Questions Archive (Record #23691)
Mathematics
WAEC / WASSCE 1995
Sequences & Series (AP & GP)
Solution
Find the nth term Un of the A.P., 11, 4, -3,....... .
A
Un=19+7n
B
Un=19-7n
C
Un=18+7n
D
Un= 18-7n
E
Un= 17-7n
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
A.P 11, 4, -3
1st term = 11
A.P = a, a + d, a + 2d ...... a + (n - 1)d
If a = 11
a + d = 4
d = 4 - 11 = -7
nth term = a + (n-1)d
= 11 + (n-1)(-7)
= 11 - 7n + 7
= 18 - 7n
Source: Myschool Past Questions Archive (Record #23693)
Mathematics
WAEC / WASSCE 1995
Sequences & Series (AP & GP)
Solution
lf 16/9 , x, 1, y are in Geometric Progression (GP), find the product of x and y.
A
9/16
B
3/4
C
1
D
4/3
E
16/6
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
16/9, x, 1, y => a, ar, ar2, ar3
ar2 = 1 => 16r2/9 = 1 => 16r2
9 => r2 = 9/16 => r = 3/4
ar2 = y = ar2 x r = 1 x 3/4 = 3/4
x xy = 4/3 x 3/4 = 1
Source: Myschool Past Questions Archive (Record #23696)
Mathematics
WAEC / WASSCE 1995
Sets, Logic & Venn Diagrams
Solution
If R = [2, 4, 6, 7] and S = [1, 2, 4, 8], then R∪S equal
A
[1,2,4,6,7,8]
B
[1,2,4,7,8]
C
[1,4.7,8]
D
[2.6.7]
E
[2.4]
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
R = {2, 4, 6, 7}; S = {1, 2, 4, 8}
R \(\cup\) S = {1, 2, 4, 6, 7, 8}
Source: Myschool Past Questions Archive (Record #23699)
Mathematics
WAEC / WASSCE 1995
Linear, Simultaneous & Quadratic Equations
Solution
Find the value(s) of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)
A
+4 or+1
B
-5 or +1
C
-5 or -1
D
+5 or -1
E
\(\frac{1}{6}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{6x - 1}{x^2 + 4x - 5}\)
The expression is undefined when \(x^2 + 4x - 5 = 0\)
\(x^2 + 5x - x - 5 = 0\)
\(x(x + 5) - 1(x + 5) = 0\)
\((x - 1)(x + 5) = 0\)
The expression is undefined when x = 1 or -5.
Source: Myschool Past Questions Archive (Record #23702)
Mathematics
WAEC / WASSCE 1995
Inequalities & Linear Programming
Diagram
Solution
Which of the following could be the inequality illustrated in the sketch graph above?
Attached Figure / Diagram
A
y≥2x+3
B
y≤-3x+3
C
y < 3x+2
D
y≤x +3
E
y≥3x+2.
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Gradient of the line = \(\frac{3 - 0}{0 - 1}\)
= -3
y = -3x + b.
Using (1,0), we have
0 = -3(1) + b
0 = -3 + b
b = 3
y = -3x + 3
\(\therefore\) The graph illustrates y \(\leq\) -3x + 3.
Source: Myschool Past Questions Archive (Record #23705)
Mathematics
WAEC / WASSCE 1995
Inequalities & Linear Programming
Solution
Solve the inequality: \(\frac{1}{3}(2x - 1) < 5\)
A
x < - 5
B
X<-6
C
X<7
D
x <8
E
x < 16
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{1}{3}(2x - 1) < 5\)
\(2x - 1 < 15\)
\(2x < 16\)
\(x < 8\)
Source: Myschool Past Questions Archive (Record #23706)
Mathematics
WAEC / WASSCE 1995
Linear, Simultaneous & Quadratic Equations
Solution
What is the smaller value of x for which x\(^2\) - 3x + 2= 0?
A
1
B
2
C
3
D
4
E
5
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
x\(^2\) - 3x + 2 = 0
x\(^2\) - 2x - x + 2 = 0
x(x - 2) - 1(x - 2) = 0
(x - 2)(x - 1) = 0
x = 1 or 2. The smaller value of x = 1.
Source: Myschool Past Questions Archive (Record #23707)
Mathematics
WAEC / WASSCE 1995
Algebraic Expressions, Polynomials & Factorisation
Solution
Factorize the expression x(a - c) + y(c - a)
A
(a - c)(y - x)
B
(a - c)(x - y)
C
(a + c)(x - y)
D
(a + c)(x + y)
E
(a - c)(x + y)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
x(a - c) + y(c - a)
= x(a - c) - y(a - c)
= (x - y)(a - c)
Source: Myschool Past Questions Archive (Record #23708)