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 2236–2250 of 4910 verified questions
Sort by:
Mathematics
WAEC / WASSCE 2007
Trigonometry, Elevation & Bearings
Solution
The bearing of a point P from another point Q is 310o. If |PQ| = 200m, how far west of Q is P?
A
128.6m
B
153.2m
C
167.8m
D
187.9m
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
cos 40 = \(\frac{x}{200}\)
x - 200 x cosx
= 200 x 0.7660
x = 153.2m
Source: Myschool Past Questions Archive (Record #36281)
Mathematics
WAEC / WASSCE 2007
Indices, Logarithms & Surds
Solution
Find the value of a if log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
A
4.0
B
2.0
C
1.6
D
0.0
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
log (a x a\(^2\)) = 0.9030
log a\(^3\) = 0.9030
a\(^3\) = 10^.9030(antilogarithm table)
a\(^3\) = 7.998
a = 3\(\sqrt{7.998}\)
a = 1.9998 ≈ 2.0
Source: Myschool Past Questions Archive (Record #36283)
Mathematics
WAEC / WASSCE 2007
Fractions, Decimals, Percentages & Approximations
Solution
A messenger was paid N2.50 an hour during the normal working hours and 4.00 n hour during overtime. If he received N31.00 for 10 hours work, how many hours are for overtime?
A
2
B
3
C
4
D
6
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Let normal working hour = x
let overtime = y
after 10 hours = N31.00
1 x 2.50x + 4y = 31
4 x x + y = 10
2.50x + 4y = 31
- 4x + 4y = 30
----------------
-1.5x = -9
x = 6; x + y = 10
6 + y = 10
y = 10 - 4
y = 4hrs for over time
Source: Myschool Past Questions Archive (Record #36284)
Mathematics
WAEC / WASSCE 2007
Fractions, Decimals, Percentages & Approximations
Solution
At what rate per cent per annum will N520.00 yield a simple interest of N39.00 in three years?
A
4%
B
3\(\frac{1}{2}\)%
C
3%
D
2\(\frac{1}{2}\)%
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
SI = \(\frac{PRT}{100}\)
39 = \(\frac{520 \times R \times 3}{100}\)
1560R = 3900
R = \(\frac{3900}{1560}\)
= 2.5%
R = 2\(\frac{1}{2}\)%
Source: Myschool Past Questions Archive (Record #36286)
Mathematics
WAEC / WASSCE 2007
Indices, Logarithms & Surds
Solution
PQR is an equilateral triangle with sides 2\(\sqrt{3cm}\). calculate its height
A
1.7cm
B
3.0cm
C
3.2cm
D
3.9cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
By Pythagoras theorem
h2 = (2\(\sqrt{3})^2 - (\sqrt{3})^2\)
= 22(\(\sqrt{3})^2 - 3\)
4(3) - 3 = 112 - 3
h2 = 9
h = \(\sqrt{9}\)
= 3cm
Source: Myschool Past Questions Archive (Record #36287)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
Which of the following is a factor of 2 - x - x2?
A
1 - x
B
1 + x
C
x - 1
D
2 - x
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
2 - x - x2; (2 - 2x) + (x - x2)
= 2(1 - x) + x(1 - x)
= (1 - x)(2 + x)
= 1 - x
Source: Myschool Past Questions Archive (Record #36288)
Mathematics
WAEC / WASSCE 2007
Algebraic Expressions, Polynomials & Factorisation
Solution
make w the subject of the relation \(\frac{a + bc}{wd + f}\) = g
A
\(\frac{a + bc - fg}{dg}\)
B
\(\frac{a - bc + fg}{dg}\)
C
\(\frac{a + bc - f}{dg}\)
D
\(\frac{a + bc - dg}{dg}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{a + bc}{wd + f}\) = g(cross multiply)
a = bc + wdg + fg
wdg = a + bc - fg
w = \(\frac{a + bc - fg}{dg}\)
Source: Myschool Past Questions Archive (Record #36289)
Mathematics
WAEC / WASSCE 2007
Inequalities & Linear Programming
Solution
For what range of values of x is 4x - 3(2x - 1) > 1?
A
x > -1
B
x > 1
C
x < 1
D
x < -1
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
4x - 3(2x - 1) > 1
4x - 6x + 3 > 1
-2x > 1 - 3; 2x > -2
x < \(\frac{-2}{-2}\)
= x < 1
Source: Myschool Past Questions Archive (Record #36290)
Mathematics
WAEC / WASSCE 2007
Indices, Logarithms & Surds
Solution
Find the smallest value of k such that 2\(^2\) x 3\(^3\) x 5 x k is a perfect square.
A
3
B
5
C
15
D
30
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
2\(^2\) x 3\(^3\) x 5\(^1\) x k;
2\(^2\) x 3\(^2\) x 3 x 5 x k
2\(^2\) x 3\(^2\) x 15 x k
smallest value for k
2\(^2\) x 3\(^2\) x 15 = 2\(^2\) x 3\(^2\) x 15\(^2\)
k = 15
Source: Myschool Past Questions Archive (Record #36291)
Mathematics
WAEC / WASSCE 2007
Algebraic Expressions, Polynomials & Factorisation
Solution
Expand the expression(3a - xy)(3a + xy)
A
9a2 - x2y2
B
9a2 + x2y2
C
9a2 - xy
D
9a2 + x2y
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
(3a - xy)(3a + xy); (3a)2 - (xy)2
difference of two sqs; 9a2 - x2y2
Source: Myschool Past Questions Archive (Record #36292)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Solution
Simplify \(\frac{4}{2x} - \frac{2x + x}{x}\)
A
-1
B
-2x
C
2x
D
\(\frac{2 - x}{2x}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(\frac{4}{2x} - \frac{2 + x}{x} = \frac{4 - 2(2 + x)}{2x}\)
= \(\frac{4 - 4 - 2x}{2x} = \frac{-2x}{2x}\)
= -1
Source: Myschool Past Questions Archive (Record #36293)
Mathematics
WAEC / WASSCE 2007
Mensuration (Areas, Perimeters & Volumes)
Solution
Two circles have radii 16cm and 23cm. What is the difference between their circumference? take \(\pi = \frac{22}{7}\)
A
422.92cm
B
149.92cm
C
44.00cm
D
43.96cm
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
r = 16, R = 23; 2\(\pi R - 2 \pi r\)
= 2\(\pi(R - r)\)
= 2 x \(\frac{22}{7} (23 - 16)\)
= 2 x \(\frac{22}{7} \times (7)\)
= 44cm
Source: Myschool Past Questions Archive (Record #36294)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram |LN| = 4cm, LNM = 90o and tan y = \(\frac{2}{3}\). What is the area of the \(\bigtriangleup\)LMN?
Attached Figure / Diagram
A
24cm2
B
12cm2
C
10cm2
D
6cm2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Since tan y = \(\frac{2}{3}\) and LN = 4
tan y = \(\frac{2 \times 4}{3 \times 4} = \frac{8}{12} = \frac{4}{6}\)
then tan y = \(\frac{opp}{adj}\)
MN = 6cm
Area of angle LMN = \(\frac{1}{2}\)bh
= \(\frac{1}{2} \times 6 \times 4\)
= 12cm3
Source: Myschool Past Questions Archive (Record #36296)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
From the diagram, find the value of x in the diagram.
Attached Figure / Diagram
A
80o
B
70o
C
55o
D
35o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
y + 110o = 180o(angles on a straight line)
y = 180 - 110
= 70o
x = y(corresponding angles)
x = 70o
Source: Myschool Past Questions Archive (Record #36297)
Mathematics
WAEC / WASSCE 2007
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, |SP| = |SR| and o. Calculate < PQR
Attached Figure / Diagram
A
120o
B
110o
C
100o
D
80o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
o (base of isosceles)
RPS = 50o; o
< PQR = 180 - 80
= 100
Source: Myschool Past Questions Archive (Record #36298)