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Mathematics
WAEC / WASSCE 1996
Number and Numeration
Solution
A boy measured the length and breath of a rectangular lawn as 59.6m and 40.3m respectively instead of 60m and 40m. What is the percentage error in his calculation of the perimeter of the lawn?
A
10%
B
1.4%
C
7%
D
0.2%
E
0.1%
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
Length = 59.6m
Breath = 40.3m
Perimeter = (59.6m + 40.3m) x 2
= 99.9 x 2 = 199.8m
Actual measurement
Perimeter = (60 + 40) x 2 = 100 x 2 = 200m
Error = 200m - 199.8m = 0.2
Error =0.2/200 x 100/1
= 0.1%
Source: Myschool Past Questions Archive (Record #23796)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Solution
Expand (2x - 5)(x - 3)
A
x2 - 1x -15
B
2x2 - 11x + 15
C
22 - 5x - 8
D
x2 - 5x - 15
E
2x2 - 6x + 15
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
(2x - 5)(x - 3)
2x\(^2\) - 5x - 6x + 15
2x\(^2\) - 11x + 15
Source: Myschool Past Questions Archive (Record #23798)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Solution
Simplify: \(\frac{5}{x - y} - \frac{4}{y - x}\)
A
9/x - y
B
9/y - x
C
1/x - y
D
1/y - x
E
y - 9x/x - y
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{5}{x - y} - \frac{4}{y - x}\)
= \(\frac{5(y - x) - 4(x - y)}{(x - y)(y - x)}\)
= \(\frac{5y - 5x - 4x + 4y}{(x - y)(y - x)}\)
= \(\frac{9y - 9x}{(x - y)(y - x)}\)
= \(\frac{9(y - x)}{(x - y)(y - x)}\)
= \(\frac{9}{x - y}\)
Source: Myschool Past Questions Archive (Record #23799)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Solution
If 3p - q = 6 and 2p + 3q = 4, find q
A
o
B
1/2
C
2/3
D
1
E
33/7
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
3p - q = 6 ........ 1
2p + 3q = 4 ....... 2
Multiply eqn 1 by 3
9p - 3q = 18 ........ 3
2p - 3q = 4 ......... 2
Add eqn3 and eqn2
11p = 22 => p = 22/11 = 2
Substitute for p =2 in eqn1
3p - q = 6
3x2 - q = 6 => 6 - q = 6 => -q = 6 - 6
q = 0
Source: Myschool Past Questions Archive (Record #23800)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Solution
M varies directly as n and inversely as the square of p. If M = 3, when n = 2 and p = 1, find M in terms of n and p.
A
M = 2n/3p
B
M = 3n2/2p2
C
M = n2/2p
D
M = 3n/2p2
E
M = 2n/3p2
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(M \propto \frac{n}{p^2}\)
\(M = \frac{kn}{p^2}\)
\(3 = \frac{k(2)}{1^2}\)
\(3 = 2k \implies k = \frac{3}{2}\)
\(M = \frac{3n}{2p^2}\)
Source: Myschool Past Questions Archive (Record #23801)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Factorize 32x3 - 8xy2
A
4(4x + y)(2x - y)
B
(16x - y)(2x + y)
C
8x(2x - y)
D
8x(2x + y)(2x - y)
E
4(2x + y)(4x - y)
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 #23805)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
The graph of 2y = 5x2 - 3x2 - 2 cuts the y axis at the point
A
(1,0)
B
(-2/5, 0)
C
(0, -1)
D
(0, -2)
E
(0, 1)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #23807)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Solution
Find, correct to 1 decimal place, the volume of cylinder of height 8cm and base radius 3cm. [Take π = 3.142]
A
503.0cm3
B
300.0cm3
C
250.0cm3
D
226.2cm3
E
150.9cm3
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Volume =\(\pi\)r2h = 3.142 x 3 x 3 x 8
=72 x 3.142 = 226.2cm3
Source: Myschool Past Questions Archive (Record #23811)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Which of the following is not true? You may construct a
A
triangle given all the three sides
B
triangle given one side and two angles
C
triangle given two sides and the included angle
D
quatrilateral given all the four sides
E
parallelogram given two adjacent sides and the diagonal joining them
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 #23819)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Diagram
Solution
In the diagram above, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and ∠PQR = 35o.Calculate ∠SQT
Attached Figure / Diagram
A
30o
B
35o
C
40o
D
70o
E
110o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
< QRS = 35º alt
< PQS = 35º ( base
therefore, RSQ = 180º - ( 35º+ 35º) = 110º
therefore < QST = 180º- 110º = 70º
< SQT = 180º - ( 70º + 70º ) = 40º
Source: Myschool Past Questions Archive (Record #23820)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Diagram
In the diagram above, KLMN is a cyclic quadrilateral. /KL/ = /KN/, ∠NKM = 55o and ∠KML = 40o. Find ∠LKM
Attached Figure / Diagram
A
35o
B
40o
C
45o
D
50o
E
55o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #23824)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Diagram
In the diagram above, ∠SPQ = 79o. Find ∠SRQ
Attached Figure / Diagram
A
11o
B
391/2
C
79o
D
90o
E
101o
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option E.
Source: Myschool Past Questions Archive (Record #23825)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Diagram
Solution
The trapezium PQRS parallel to SR,∠PQS = 34o and ∠SPQ = 2 ∠SRQ. Find the size of, SQR
Attached Figure / Diagram
A
58o
B
68o
C
78o
D
90o
E
112o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
considering SPQ
S = 34o (base ∠s of Isos. Δ)
P = 180o - 68o = 112o
R = 122/2 = 56o
a = 34o (alt ∠s)
SQR = 180o - (56 + 34)
180o - 90o = 90o
Source: Myschool Past Questions Archive (Record #23827)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Diagram
Solution
In the diagram above, AB, CD and XY are straight lines intersecting at W. Find ∠CWX
Attached Figure / Diagram
A
20o
B
80o
C
100o
D
120o
E
140o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
a = 40o (vertical opp. ∠s are equal) b = 60o
a + b + c = 180o (sum of ∠s on a str line)
40o + 60o + c = 180o
C = 180o - 100o
C = 80o
Source: Myschool Past Questions Archive (Record #23828)
Mathematics
WAEC / WASSCE 1996
Number and Numeration
Diagram
The number of goals scored by a football team in 20 matches is shown in the table above
What is the modal goal scored?
Attached Figure / Diagram
A
o
B
1
C
2
D
5
E
7
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Myschool Past Questions Archive (Record #23834)