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Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
A chord XY of a circle with centre O and radius 5.32cm has ∠XOY = 140°. What is the length of the chord to the nearest centimetre?
A
10cm
B
6cm
C
5cm
D
3cm
E
1cm
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 #42639)
Mathematics
NECO SSCE 2008
Indices, Logarithms & Surds
Rationalize the expression \(\frac{(7 - \sqrt{3})}{(13 - \sqrt{3})}\)
A
(44 + 3\(\sqrt{3}\)) ÷ 83
B
(44 + 2\(\sqrt{3}\)) ÷ 83
C
(44 - 3\(\sqrt{3}\)) ÷ 83
D
(44 - 4\(\sqrt{3}\)) ÷ 83
E
(44 - 2\(\sqrt{3}\)) ÷ 83
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 #42649)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
In proving the congruence of two triangles, which of the following is not important?
A
two sides and the included angles
B
two angles and a side
C
three sides
D
three angles
E
right angle, hypotenuse and another side
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 #42651)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
If tan α = \(\frac{1}{2}\) and tan β = \(\frac{1}{3}\) and both α and β are acute, find tan (α + β).
A
0.015
B
1
C
10
D
39.81
E
45
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 #42657)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
Multiply (3\(\sqrt{a}\) - 4a) by (4a + 3\(\sqrt{a}\))
A
9a + 16a2
B
9a – 16a2
C
3a + 16a2
D
3a - 16a2
E
a - 16a2
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 #42658)
Mathematics
NECO SSCE 2008
Statistics (Data Representation, Central Tendency & Dispersion)
The median of a distribution can be estimated from
A
Barchart
B
Cumulative frequency curve
C
Frequency polygon
D
Pictorial
E
Pie chart
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 #42660)
Mathematics
NECO SSCE 2008
Algebraic Expressions, Polynomials & Factorisation
If A = \(\frac{1}{2}\)h (a + b), make ‘a’ the subject of the formula
A
(2A – 2bh) ÷ b
B
(2A – bh) ÷ h
C
(2A – bh) ÷ b
D
(A – 2bh) ÷ h
E
(2A – h) ÷ bh
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 #42661)
Mathematics
NECO SSCE 2008
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
The graph of cumulative frequency distribution is known as
A
an ogive
B
a histogram
C
a frequency polygon
D
relative frequency
E
none
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
An ogive is a graph that shows a cumulative frequency distribution, plotting cumulative frequencies against upper class boundaries to form an "S"-shaped curve.
Source: Myschool Past Questions Archive (Record #42663)
Mathematics
NECO SSCE 2008
Variations
Solution
T varies inversely as the square root of F when T = 7, F = 2\(\frac{1}{4}\). Find T when F = \(\frac{27}{9}\)
A
1.5
B
6.1
C
6.3
D
12.6
E
21
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
T ∝ \(\frac{1}{\sqrt{F}}\)
T = \(\frac{K}{\sqrt{F}}\)
K = T x \(\sqrt{F}\)
K = 7 x \(\frac{3}{2}\) = 10.5
T = \(\frac{10.5}{\sqrt{F}}\)
T = T = \(\frac{10.5}{\sqrt{3}}\) ≈ 6.1
Source: Myschool Past Questions Archive (Record #42664)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
Evaluate (25 × 4-2) ÷ (2-3 × 26)
A
9
B
8
C
3
D
\(\frac{8}{9}\)
E
\(\frac{1}{4}\)
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 #42665)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
If 5x - 3 = 4x - 7, what is the value 6x?
A
24
B
6
C
4
D
-4
E
-24
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 #42666)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
which of the following properties is/are common to parallelograms and rectangles?
I. all angles are right angles
II. the diagonals are equals.
III. the opposite sides are equal and parallel.
A
I and II
B
I and III
C
II and III
D
I
E
III
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 #42667)
Mathematics
NECO SSCE 2008
Plane Geometry, Polygons & Circle Theorems
P = {x:(x - 2)(x + 3) (x - 4)(x + 5) = 0}. The elements in P are
A
-5,-2, 3, 4
B
-5, -3, 2, 4
C
-5, -3, -2,4
D
-4, -3, -2, 5
E
2, 3, 4, 5
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 #42668)
Mathematics
NECO SSCE 2008
Indices, Logarithms & Surds
Find the value of log\(_{\sqrt{3}}\) 81
A
81
B
16
C
8
D
3
E
\(\sqrt{3}\)
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 #42669)
Mathematics
WAEC / WASSCE 2008
Indices, Logarithms & Surds
Solution
(a) Without using calculator or tables, find the value of \(\log 3.6\) given that \(\log 2 = 0.3010, \log 3 = 0.4771\) and \(\log 5 = 0.6990\).
(b) If all numbers in the equation \(\frac{y}{y + 101} = \frac{11}{10010}\) are in base two, solve for y.
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
(a) \(\log 3.6 = \log (\frac{18}{5})\)
\(\log 18 - \log 5 = \log (2 \times 3^{2}) - \log 5\)
\(\log 2 + \log 3^{2} - \log 5 = \log 2 + 2\log 3 - \log 5\)
= \(0.3010 + 2(0.4771) - 0.6990\)
= \(0.3010 + 0.9542 - 0.6990\)
= \(0.5562\).
(b) \(\frac{y}{y + 101} = \frac{11}{10010}\) (all in base 2)
Cross multiplying,
\(11(y + 101) = 10010y\)
\(11y + 1111 = 10010y\)
\(10010y - 11y = 1111\)
\(1111y = 1111\)
\(y = 1\).
Source: Myschool Past Questions Archive (Record #52935)