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Mathematics
WAEC / WASSCE 2007
Inequalities & Linear Programming
Solution
Which of the following statement is true for the ste P = {-3.2 \(\leq\) x < 5} where x is an integer?
A
least value of x is -3.2
B
least value of x is -3
C
greatest value of x is 4.9
D
greatest value of x is 5
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
p = {-3.2.....4.9}; Since x is an integer
least value of x is -3
Source: Myschool Past Questions Archive (Record #36234)
Mathematics
WAEC / WASSCE 2007
Indices, Logarithms & Surds
Solution
Simplify \(\frac{3x^3}{(3x)^3}\)
A
1
B
\(\frac{1}{3}\)
C
\(\frac{1}{9}\)
D
\(\frac{1}{27}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\frac{3x^3}{(3x)^3}\) = \(\frac{3 \times x^3}{3^3 \times x^3}\)
= \(\frac{3 \times x^3}{3 \times 3 \times 3 \times x^3}\)
= \(\frac{1}{3^2}\)
= \(\frac{1}{9}\)
Source: Myschool Past Questions Archive (Record #36235)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
N140,000 is shared between Abu, Kayode and Uche. Abu has twice as much as Kayode and Kayode has twice as much as Uche. What is Kayode'sshare?
A
N80,000
B
N40,000
C
N2,000
D
10,000
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Let Abu's share = 2x;
Kayode's = x
Uche's share = \(\frac{x}{2}\)
Total: 2x + x + \(\frac{x}{2}\) = N140,000
\(\frac{7x}{2}\) = N140,000
x = \(\frac{280,000}{7}\) = N40,000
Kayode's share = N40,000
Source: Myschool Past Questions Archive (Record #36236)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
I am x years old and my brother is 3 years older. How old was my brother last year?
A
(x - 4)years
B
(x + 2) years
C
(3x - 10years
D
(3x + 1)years
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
I am x years old; My brother = 3 + x; My brother
last year = (3 + x) - 1 = x + 3 - 1
= (x + 2) years
Source: Myschool Past Questions Archive (Record #36237)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
For what value of x is the expression \(\frac{2x - 1}{x + 3}\) not defined?
A
3
B
2
C
\(\frac{1}{2}\)
D
-3
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{2x - 1}{x + 3}\) not defined
x + 3 = 0
x = -3
Source: Myschool Past Questions Archive (Record #36238)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
If x = 3, Y = 2 and z = 4, what is the value of 3x2 - 2y + z?
A
17
B
27
C
35
D
71
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
x = 3, y = 2, z = 4
3x2 - 2y + z
= 3(3)2 - 2(2) + 4
3(9) - 4 + 4 = 27
Source: Myschool Past Questions Archive (Record #36241)
Mathematics
WAEC / WASSCE 2007
Linear, Simultaneous & Quadratic Equations
Solution
Solve the simultaneous equations x + y = 2 and 3x - 2y = 1
A
x = 2 and y = 1
B
x = 1 and y = 1
C
x = 1 and y = 2
D
x = -1 and y = 1
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
x + y = 2........... (i)
3x - 2y = 1......(ii)
From (i): x = 2 - y ..........(iii)
subt. (2 - y) for x in (ii)
3(2 - y) 2y = 1
6 - 3y - 2y = 1
-5y = 1 - 6 = -5
y = \(\frac{-5}{-5}\) = 1
subst. (i) for y in (iii)
x = 2 - 1 = 1
x = 1, y = 1
Source: Myschool Past Questions Archive (Record #36242)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
If 8x-1 = \(\frac{1}{4}\), find x
A
-\(\frac{-5}{3}\)
B
-1
C
-\(\frac{1}{3}\)
D
\(\frac{1}{3}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
8x-1 = \(\frac{1}{4}\)
23(x - 1 = 2-2
3x - 3 = -2
3x = -2 + 3
3x = 1
x = \(\frac{1}{3}\)
Source: Myschool Past Questions Archive (Record #36244)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the centre of the circle.
A
2.5cm
B
3.0cm
C
3.5cm
D
4.0cm
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Distance(d) = d\(^2\) = 5\(^2\) - 3\(^2\)
= 25 - 9 = 16
d = \(\sqrt{16}\) = 4cm
Source: Myschool Past Questions Archive (Record #36263)
Mathematics
WAEC / WASSCE 2007
Fractions, Decimals, Percentages & Approximations
Solution
The area of a square field is 110.25m2. Find the cost of fencing it round at N75.00 per metre
A
N1,575.00
B
N3,150.00
C
N4,734.30
D
N8,268.75
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Area = 110.252
f2 = 110.25(square)
l = \(\sqrt{110.25}\) = 10.5m
Since N75.00 per metre
N75.00 = 1 metre; x = 10.5m
x = 787.5 for one side, then four sides = N787.5 x 4
= N3,150.00
Source: Myschool Past Questions Archive (Record #36265)
Mathematics
WAEC / WASSCE 2007
Mensuration (Areas, Perimeters & Volumes)
Solution
A sector of a circle of radius 14cm containing an angle 60o is folded to form a cone. Calculate the radius of the base of the cone
A
5\(\frac{1}{2}cm\)
B
4\(\frac{2}{3}cm\)
C
3\(\frac{1}{2}cm\)
D
2\(\frac{1}{3}cm\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Length of arc = circumference of the base of the
cone \(\frac{\theta}{360} \times 2\pi R = 2 \pi r\)
\(\frac{\theta R}{360}\) = r
r = \(\frac{60 \times 14}{360}\)
= \(\frac{7}{3} = 2\frac{1}{3}\)cm
Source: Myschool Past Questions Archive (Record #36268)
Mathematics
WAEC / WASSCE 2007
Mensuration (Areas, Perimeters & Volumes)
Solution
Find the volume of a solid cylinder with base radius 10cm and height 14cm.
A
2203
B
880cm3>
C
1400cm3
D
4400cm3
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
volume of a cylinder = \(\pi r^2h\)
r = 10cm
h = 14cm
= \(\frac{22}{7} \times 10 \times 10 \times 14\)
= 4400cm3
Source: Myschool Past Questions Archive (Record #36270)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
Each of the interior angle of a regular polygon is 162o. How many sides has the polygon?
A
8
B
12
C
16
D
20
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{(n - 2)180}{n}\) = 162 (where n = no. of sides)
162n = 180n - 360
162n - 180n = -360
-18n = - 360
n = \(\frac{360}{18}\)
n = 20
Source: Myschool Past Questions Archive (Record #36271)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
In a , < PQR = < PRQ = 45o. which of the following statements is/are correct? i. \(\bigtriangleup\)PQR is an equalateral triangle ii. \(\bigtriangleup\)PQR is an isosceles triangle iii. \(\bigtriangleup\)PQR is a right-angled triangle
A
ii only
B
i and ii only
C
ii and iii only
D
i and ii only
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Statement ii: △PQR is an isosceles triangle.
This statement is correct. Since two angles are equal (45º ), the triangle must have at least two equal sides.
Statement iii: △PQR is a right-angled triangle.
This statement is correct. The sum of the angles in a triangle is 180º
Therefore, the third angle ∠QRP can be calculated as: ∠QRP = 180º −(45º + 45º ) = 90º
Source: Myschool Past Questions Archive (Record #36272)
Mathematics
WAEC / WASSCE 2007
Statistics (Data Representation, Central Tendency & Dispersion)
The table above gives the distribution of the marks of a number of students in a test.
\(\begin{array}{c|c} Mark &1 & 2 & 3 & 4 & 5 & 6 \\ \hline Frequency & 5 & 3 & 6 & 4 & 2 & 5\end{array}\), find the mode of the distribution.
A
2
B
3
C
5
D
6
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 #36273)