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Mathematics
WAEC / WASSCE 2014
Geometry and Trigonometry
Solution
Each exterior angle of a polygon is 30o. Calculate the sum of the interior angles
A
540o
B
720o
C
1080o
D
1800o
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
number of sides = \(\frac{360^o}{\theta} = \frac{360^o}{306o}\)
n = 12o
Sum of interior angle = (n - 2) 180o
(12 - 2) 180v = 10 x 180o
= 1800o
Source: Myschool Past Questions Archive (Record #36994)
Mathematics
WAEC / WASSCE 2014
Algebra
Solution
Find the number of term in the Arithmetic Progression(A.P) 2, -9, -20,...-141.
A
11
B
12
C
13
D
14
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
T1, T2, T3
2, -9, -20 .... -141
l = a + (n - 1)d
first term, a = 2
common difference d = T3 - T2
= T2 - T1
= -20 - (-9) = -9 -2
= -20 + 9
= -9 -2
= -20 + 9
= -11
-11 = -11
d = -1
last term l = -141
-141 = 2 + (\(\cap\) - 1) (-11)
-141 = 2 + (-11 \(\cap\) + 11)
= 2 - 11\(\cap\) + 11
-141 = 13 - 11\(\cap\)
-141 - 13 = -11\(\cap\)
-154 = -11\(\cap\)
\(\cap\) = \(\frac{-154}{-11}\)
\(\cap\) = 14
Source: Myschool Past Questions Archive (Record #36995)
Mathematics
WAEC / WASSCE 2014
Number and Numeration
Solution
In what modulus is it true that 9 + 8 = 5?
A
mod 10
B
mod 11
C
mod 12
D
mod 13
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
9 + 8 = 17
17 + mod 12 = 1 rem 5
it is mod 12
Source: Myschool Past Questions Archive (Record #36996)
Mathematics
WAEC / WASSCE 2014
Number and Numeration
Solution
The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level in p is 10cm high, what would be the height of the same quantity of water in Q?
A
2.5cm
B
5.0cm
C
7.5cm
D
20.0cm
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
volume of cylinder = \(\pi r^2h\)
volume of cylinder p = \(\pi r^2 \times 10\)
= 10\(\pi r^2\)
volume of cylinder Q = \(\pi (2r)^2 h\)
= 4\(\pi r^2\)h
4\(\pi r^2h = 10 \pi r^2\)
h = \(\frac{10}{4} = 2.5cm\)
Source: Myschool Past Questions Archive (Record #36998)
Mathematics
WAEC / WASSCE 2014
Number and Numeration
Diagram
Solution
The bar chart shows the scores of some students in a test. How many students took the test?
Attached Figure / Diagram
A
18
B
19
C
20
D
22
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
score 0 = 4 students
score 1 = 2 students
score 2 = 5 students
score 3 = 6 students
score 4 = 3 students
= 20 students
Source: Myschool Past Questions Archive (Record #36999)
Mathematics
WAEC / WASSCE 2014
Statistics and Probability
Diagram
Solution
The bar chart shows the scores of some students in a test. If one students is selected at random, find the probability that he/she scored at most 2 marks
Attached Figure / Diagram
A
\(\frac{11}{18}\)
B
\(\frac{11}{20}\)
C
\(\frac{7}{22}\)
D
\(\frac{5}{19}\)
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
at most 2 marks = 5 + 2 + 4 students = 11 students
probability(at most 2 marks) = \(\frac{11}{20}\)
Source: Myschool Past Questions Archive (Record #37000)
Mathematics
WAEC / WASSCE 2014
Geometry and Trigonometry
Diagram
Solution
In the diagram, the value of x + y = 220o. Find the value of n
Attached Figure / Diagram
A
20o
B
40o
C
60o
D
80o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
y + z = 180o
z = 180o - y
x + k = 180o
k = 180o - x
the sum of angles in the \(\bigtriangleup\) are: n + z + k = 180
but n + 180o - y + 180o - x = 180o
n + 180o - y - x = 0
but we want to find n
n + 180o = x + y
but x + y = 220o
n + 180o = 220o
n = 220o - 180o
n = 40o
Source: Myschool Past Questions Archive (Record #37002)
Mathematics
WAEC / WASSCE 2014
Number and Numeration
Diagram
In the diagram, PQR is straight line, ( m + n) = 120o and ( n + r) = 100o. Find (m + r).
Attached Figure / Diagram
A
110o
B
120o
C
140o
D
160o
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 #37003)
Mathematics
WAEC / WASSCE 2014
Number and Numeration
Diagram
Solution
In the diagram, PQR is a straight line, (m + n) = 120o and (n + r) = 100o. Find (m + r)
Attached Figure / Diagram
A
110o
B
120o
C
140o
D
160o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
if m + n = 120o and n + r = 100o
then m + n = 120o
then r = 180o - 120o = 60o
also n + r = 100o
m = 180o = 80o
m + r is = 80o + 60o
= 140o
Source: Myschool Past Questions Archive (Record #37004)
Mathematics
WAEC / WASSCE 2014
Geometry and Trigonometry
Diagram
Solution
In the diagram, ST is parallel to UW, o, o, o and o. Find the value of x
Attached Figure / Diagram
A
20
B
45
C
65
D
135
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
From the diagram SR//UW given that o and o
o(corresponding angle)
xo = 45
Source: Myschool Past Questions Archive (Record #37005)
Mathematics
WAEC / WASSCE 2014
Number and Numeration
Diagram
Solution
In the diagram, ST is parallel to UW, o, o, o and o. Calculate the value of y
Attached Figure / Diagram
A
20
B
25
C
45
D
65
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
xo + zo = 180o (sum of o + zo = 180o
zo = 180o - 45o
z = 135o
z + yo + 20o = 180o (sum of o + yo + 20o = 180o
yo + 155o = 180o
yo + 180o - 155o
yo = 25o
Source: Myschool Past Questions Archive (Record #37006)
Mathematics
WAEC / WASSCE 2014
Number and Numeration
Diagram
Solution
The graph given is for the relation y = 2x\(^2\) + x - 1. What are the coordinates of the point S?
Attached Figure / Diagram
A
(1, 0.2)
B
(1, 0.4)
C
(1, 2.0)
D
(1, 40)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Draw a straight line from point S to meet the y-axis, which cuts it at 2, and do the same for the x-axis which cuts it at 1. Therefore the coordinate of the point S is (1, 2)
NOTE: for this graph, each box(square) = 2.5cm on both axes.
Source: Myschool Past Questions Archive (Record #37007)
Mathematics
WAEC / WASSCE 2014
Number and Numeration
Diagram
Solution
The graph given is for the relation y = 2x\(^2\) + x - 1. Find the minimum value of y
Attached Figure / Diagram
A
0.00
B
-0.65
C
-1.25
D
-2.10
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
The minimum value of y is where the slope of the curve cuts the y - axis = - 1.25.
Source: Myschool Past Questions Archive (Record #37008)
Mathematics
WAEC / WASSCE 2014
Number and Numeration
Diagram
Solution
Determine the value of m in the diagram
Attached Figure / Diagram
A
80o
B
90o
C
110o
D
150o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
In the figure above, a + 80º = 180º ( opp
Source: Myschool Past Questions Archive (Record #37010)
Mathematics
WAEC / WASSCE 2014
Geometry and Trigonometry
Diagram
Solution
In the diagram, O is the centre of the circle of the circle, PR is a tangent to the circle at Q o. Calculate the value of < SQR.
Attached Figure / Diagram
A
43o
B
47o
C
54o
D
86o
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Construction: draw a line from Q to point P and another line from S to point P.
o
Source: Myschool Past Questions Archive (Record #37011)