Question Library
Browse, filter, and study verified past examination questions with step-by-step mathematical reasoning.
Searching 18,000+ Questions...
Sifting topics, KaTeX formulas & verified solutions
Showing 556–570 of 1462 verified questions
Sort by:
Mathematics
WAEC / WASSCE 2008
Geometry and Trigonometry
Diagram
Solution
In the diagram above, PQRS is a rhombus. /PR/ = 10cm and /QS/ = 24cm. Calculate the perimeter of the rhombus.
Attached Figure / Diagram
A
34cm
B
52cm
C
56cm
D
96cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
For a rhombus, all the sides are equal and diagonals bisect each other at 90o. Hence, the triangles formed are congruent: (under RHS).
Thus: \(\bar{PS}^2\) = 52 + 122
\(\bar{PS} = \sqrt{25 + 144}\)
= \(\sqrt{169}\)
\(\bar{PS}\) = 13cm
perimeter = 4 x length of a side
= 4 x 13cm
= 52cm
Source: Myschool Past Questions Archive (Record #36407)
Mathematics
WAEC / WASSCE 2008
Geometry and Trigonometry
Diagram
Solution
In the diagram, PQ//RS, QU//PT, and < PSR = 42º. Find angle x.
Attached Figure / Diagram
A
84o
B
48o
C
42o
D
32o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
From the diagram, < QPS = xo (Corresponding angles)
Also, < QPS = < PSR(Alternate angles)
x = 42o
Source: Myschool Past Questions Archive (Record #36414)
Mathematics
WAEC / WASSCE 2008
Geometry and Trigonometry
Diagram
Solution
In the diagram, O is the centre of the circle and PQRS is a cyclic quadrilateral. Find the value of x.
Attached Figure / Diagram
A
25o
B
65o
C
115o
D
130o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
x = 65o (An interior angle of a cyclic quadrilateral = opposite exterior angle).
Source: Myschool Past Questions Archive (Record #36417)
Mathematics
WAEC / WASSCE 2008
Geometry and Trigonometry
Diagram
Solution
If the perimeter of \(\bigtriangleup\)PQR in thr diagram is 24cm, what is the area of \(\bigtriangleup\)PRS?
Attached Figure / Diagram
A
19.5cm2
B
15.0cm2
C
13.0cm2
D
9.3cm2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Perimeter of \(\bigtriangleup\) PQR = PQ + QR + PR
24cm = 6cm + 8cm = PR
24 = 14 + PR
PR = 24 - 14 = 10cm
Area of \(\bigtriangleup\) PRS = \(\frac{1}{2} \times 10 \times 3cm^3\)
= 15cm3
Source: Myschool Past Questions Archive (Record #36421)
Mathematics
WAEC / WASSCE 2008
Geometry and Trigonometry
Diagram
Solution
In the diagram, PX is a tangent to the circle and RST is an equilateral triangle. Calculate < PTS
Attached Figure / Diagram
A
60o
B
90o
C
120o
D
150o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
\(\bigtriangleup\) RST is equilateral triangle, hence
o
But o(Angle between a chord and a tangent at the point of contact = Angle in the alt. segment). From the diagram o + 60o = 120o
Source: Myschool Past Questions Archive (Record #36422)
Mathematics
WAEC / WASSCE 2008
Geometry and Trigonometry
Diagram
Solution
In the diagram, o
o
o
o
o and RS//TU
calculate y
Attached Figure / Diagram
A
102o
B
78o
C
70o
D
60o
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
o(Angles in a triangle)
110 + 5x = 180o
5x = 180o - 110 = 70o
x = \(\frac{70}{5}\) = 14o
Also y + 50 + 2(14) = 180o
y + 50 + 28 = 180o
y = 180 - 78
y = 102o
Source: Myschool Past Questions Archive (Record #36424)
Mathematics
WAEC / WASSCE 2008
Geometry and Trigonometry
Solution
In the diagram, find the size of the angle marked a^\circ
A
60o
B
80o
C
120o
D
160o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
2 x s = 280^\circ(Angle at centre = 2 x < at circum)
S = \(\frac{280^o}{2}\)
= 140^\circ
< O = 360 - 280 = 80^\circ
60 + 80 + 140 + a = 360^\circ
(< in a quad); 280 + a = 360
a = 360 - 280
a = 80^\circ
Source: Myschool Past Questions Archive (Record #36425)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = \(\frac{22}{7}\))
A
14.1cm2
B
95.5cm2
C
190.9cm2
D
381.9cm2
E
763.7cm2
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 #42502)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places?
A
9.60m
B
6.06m
C
2.54m
D
2.53m
E
2.00m
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 #42505)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Solution
The chances of Usman and Dele passing a Mathematics test are 3/5 and 1/3, respectively. What is the probability that neither of them passes the test?
A
\(\frac{3}{5}\)
B
\(\frac{2}{5}\)
C
\(\frac{4}{15}\)
D
\(\frac{1}{5}\)
E
\(\frac{2}{15}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
P\(\text{Usman fails}) = 1 - \frac{3}{5} = \frac{2}{5}\)
P\(\text{Dele fails}) = 1 - \frac{1}{3} = \frac{2}{3}\)
P\(\text{neither passes}) = \left(\frac{2}{5}\right) \times \left(\frac{2}{3}\right) = \frac{4}{15}\)
Source: Myschool Past Questions Archive (Record #42511)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135°
A
271.5cm2
B
135.8cm2
C
96.0cm2
D
48.0cm2
E
33.9cm2
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 #42520)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Solution
Find y if sin y = cos 48^\circ
A
21°
B
24°
C
42°
D
48°
E
102°
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Cos 48º = 0.6691
Then Sin y = 0.6691 (since sin y = cos 48º)
y = Sin\(^{-1}\) 0.6691 = 42º
Source: Myschool Past Questions Archive (Record #42532)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
2 bags of sugar at Nx per bag are mixed with 3 bags of sugar at Ny per bag. What is the cost in N of the mixture per bag?
A
\(\frac{(2x + 3y)}{5}\)
B
\(\frac{(x + y)}{2}\)
C
\(\frac{x}{2} +\frac{y}{3}\)
D
\(\frac{(x + y)}{5}\)
E
\(\frac{(3x + 2y)}{5}\)
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 #42575)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
Solution
A pair of shoes was sold for N2,250.00 at a loss of 10%. What was the cost price?
A
N750.00
B
N2,500.00
C
N2,538.00
D
N3,288.00
E
N4,038.00
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Using: CP = \(\frac{SP \times 100}{100 − L%}\)
L% = 10
SP = 2250
CP = \(\frac{2250 \times 100}{100 − 10}\) = \(\frac{225000}{90}\) = #2500
Source: Myschool Past Questions Archive (Record #42583)
Mathematics
NECO SSCE 2008
Geometry and Trigonometry
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)