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Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
E = (integers \(\leq\) 20), P = (multiples of 3), Q = (multiples of 4), what are the elements of P'∩Q?
A
(12)
B
(4, 8, 16, 20)
C
(3, 6, 9, 15, 18)
D
(1,2,5,7,10,11,13,17,19)
E
(3, 4, 6, 8, 9, 12, 15, 16, 18, 20)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
P = {3, 6, 9, 12, 15, 18}
Q = {4, 8, 12, 16, 20}
P' = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20}
P' \(\cap\) Q = {4, 8, 16, 20}
Source: Myschool Past Questions Archive (Record #23482)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
Given that 2p - m = 6 and 2p + 4m = 1, find the value of (4p + 3m).
A
1
B
3
C
5
D
7
E
9
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
2p - m = 6 ... (i)
2p + 4m = 1 ... (ii)
From (i), m = 2p - 6.
2p + 4(2p - 6) = 1
2p + 8p - 24 = 1
10p = 1 + 24 = 25
p = 2.5
m = 2(2.5) - 6
= 5 - 6
= -1
\(\therefore\) 4p + 3m = 4(2.5) + 3(-1)
= 10 - 3
= 7
Source: Myschool Past Questions Archive (Record #23485)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Which of the following is a point on the curve y = x\(^2\) - 4x + 7?
A
(0,6)
B
(1,4)
C
(2,0)
D
(7,0)
E
(3,2)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #23488)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
If 8x- 4 = 6x- 10, find the value of 5x,
A
-35
B
-15
C
-3
D
3
E
7
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
8x - 4 = 6x - 10
8x - 6x = -10 + 4
2x = -6
x = -3
\(\therefore\) 5x = 5(-3)
= -15
Source: Myschool Past Questions Archive (Record #23490)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
For what value of x is the expression \(\frac{x^2 + 15x + 50}{x - 5}\) not defined ?
A
-10
B
-5
C
o
D
5
E
10
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{x^2 + 15x + 50}{x - 5}\)
It is undefined when x - 5 = 0.
That is at x = 5.
Source: Myschool Past Questions Archive (Record #23491)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
If x is positive, for what range of values of x is 4 + 3x < 10?
A
0 < x < 2
B
x < 2
C
1 < x < 2
D
0 3 4
E
0 > x > 2
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
4 + 3x < 10
3x < 10 - 4
3x < 6
x < 2
Therefore, the solution is 0 < x < 2
Source: Myschool Past Questions Archive (Record #23492)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
Which of the following is not a factors of 2p\(^2\) - 2?
A
2
B
p - 1
C
p + 1
D
2p - 2
E
2p + 1
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
2p\(^2\) - 2
2(p\(^2\) - 1)
= 2(p + 1)(p - 1)
Source: Myschool Past Questions Archive (Record #23497)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
Factorise: 6x\(^2\) + 7xy - 5y\(^2\)
A
(6x + 5y)(x - y)
B
(2x + 5y)(3x - y)
C
(3x + y)(2x - 5y)
D
(3x + 5y)(2x - y)
E
(2x + y)(3x - 5y)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(6x^2 + 7xy - 5y^2\)
= \(6x^2 + 10xy - 3xy - 5y^2\)
= \(2x(3x + 5y) - y(3x + 5y)\)
= \((2x - y)(3x + 5y)\)
Source: Myschool Past Questions Archive (Record #23504)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. What is the height of the cuboid? (1 litre =1000cm3)
A
2cm
B
4cm
C
5cm
D
8cm
E
10cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Volume of cuboid = length x breadth x height
12.5 x 20 x h = 1000
250h = 1000
h = 4 cm
Source: Myschool Past Questions Archive (Record #23507)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
Two ships on the equator are on longitudes 45oW and 45oE respectively. How far are they apart along the equator, correct to 2 significant figures? (Take the radius of earth = 6400km and \pi = 22/7)
A
15,000km
B
10,000km
C
6,400km
D
5,000km
E
3,200km
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
D = \(\frac{\theta}{360}\) x 2\piR
45 + \(\frac{45}{360}\) x \(\frac{44}{7}\) x 6400
= 10057 ≅ 10000km
Source: Myschool Past Questions Archive (Record #23510)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Diagram
Solution
In the diagram, PQRS is a trapezium with PQ||SR. STR is a straight line, PSHQT, PTHQR. If |PQ| = 12cm and the height of the trapezium is 9cm, find its area.
Attached Figure / Diagram
A
96cm2
B
108cm2
C
135cm2
D
162cm2
E
216cm2
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
A = 1/2(A + B)h = 1/2(24 + 12) x 9 = 162
Source: Myschool Past Questions Archive (Record #23515)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
Two solid spheres have volumes 250cmo and 128cmo respectively. Find the ratio of their radii.
A
125:64
B
25:16
C
2:1
D
4:3
E
5:4
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
4/3πR3/4/3πr3 = 250/180 = (R/r)3 = 5:4
Source: Myschool Past Questions Archive (Record #23536)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Diagram
In the diagram ST and QR are parallel. |PS| = 6cm, |SQ| = 8cm and |PR] = 18 2/3. Find |PT|
Attached Figure / Diagram
A
7cm
B
8cm
C
8 2/3cm
D
10cm
E
10 2/3cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #23537)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Diagram
The percentage of the students with mass less than 69kg is
Attached Figure / Diagram
A
56%
B
62.5%
C
68%
D
70%
E
87.5%
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #23580)
Mathematics
WAEC / WASSCE 1994
Number and Numeration
Solution
Find the probability that a number selected from the number 30 to 50 inclusive is a prime
A
1/4
B
5/21
C
2/7
D
3/10
E
1/3
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
30 (31) 32 33 34 35 36 (37) 38 39 40 (41) 42 (43) 44 45 46 (47) 48 49 50
prob = 5/21
Source: Myschool Past Questions Archive (Record #23583)