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 3256–3270 of 4910 verified questions
Sort by:
Mathematics
WAEC / WASSCE 1999
Inequalities & Linear Programming
Diagram
Solution
Which of the following pairs of inequalities is represented on the number line?
Attached Figure / Diagram
A
\(x<-2 and x\ge1\)
B
\(x\ge -2 and x>1\)
C
\(x\le -2 and x\ge1\)
D
\(x1\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
the line graph shows that \(x\le -2\) and \(x\ge1\)
Source: Myschool Past Questions Archive (Record #26412)
Mathematics
WAEC / WASSCE 1999
Linear, Simultaneous & Quadratic Equations
Solution
If \(x^2 +15x + 50 = ax^2 + bx + c = 0\). Which of the following statement is not true?
A
x = -5
B
x = 10
C
x + 10 = 0
D
bc = 750
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(x^2 + 15x + 50 = 0\)
\(x^2 + 5x + 10x + 50 = 0\)
\(x(x + 5) + 10(x + 5) = 0\)
\((x + 5)(x + 10) = 0\)
x + 5 = 0 or x + 10 = 0.
Comparing \(x^2 + 15x + 50\) with \(ax^2 + bx + c\), b = 15 and c = 50.
\(\therefore\) bc = 750.
Source: Myschool Past Questions Archive (Record #26413)
Mathematics
WAEC / WASSCE 1999
Linear, Simultaneous & Quadratic Equations
Solution
The root of a quadratic equation in x, are -m and 2n. Find the equation
A
\(x^2 + x(m - 2n)-2mn=0\)
B
\(x^2 - x(m - 2n)-2mn=0\)
C
\(x^2 - x(m - 2n)+2mn=0\)
D
\(x^2 + x(m - 2n)+2mn=0\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
x = -m \(\implies\) x + m = 0;
x = 2n \(\implies\) x - 2n = 0.
\(\implies (x + m)(x - 2n) = 0\)
\(x^2 + mx - 2nx - 2mn = 0\)
\(x^2 + x(m - 2n) - 2mn = 0\)
Source: Myschool Past Questions Archive (Record #26414)
Mathematics
WAEC / WASSCE 1999
Permutations, Combinations & Probability
Solution
A survey shows that 28% of all the men in a village wear size 9 shoes. What is the probability that a man selected at random in the village wears size 9 shoes?
A
\(\frac{7}{25}\)
B
\(\frac{41}{50}\)
C
\(\frac{1}{2}\)
D
1
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
P(man picked at random wears size 9 shoes) = \(\frac{28}{100}\)
= \(\frac{7}{25}\)
Source: Myschool Past Questions Archive (Record #26415)
Mathematics
WAEC / WASSCE 1999
Inequalities & Linear Programming
Solution
Solve the inequality 2x + 3 < 5x
A
\(x>1\)
B
\(x<\frac{3}{7}\)
C
\(x>\frac{3}{7}\)
D
\(x>-1\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
2x + 3 < 5x
3 < 3x
\(\frac{3}{3}\) < x
1 < x
x > 1
Source: Myschool Past Questions Archive (Record #26416)
Mathematics
WAEC / WASSCE 1999
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = ycm. Find |CE| in terms of x and y
Attached Figure / Diagram
A
x
B
\(\frac{x^2}{y}\)
C
\(\frac{y}{x^2}\)
D
\(\frac{y^2}{x}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{x}{x+y}=\frac{y}{x+CE}\\
xy + xCE = xy + y^2\\
∴xCE = y^2\\
CE=\frac{y^2}{x}\)
Source: Myschool Past Questions Archive (Record #26417)
Mathematics
WAEC / WASSCE 1999
Plane Geometry, Polygons & Circle Theorems
Diagram
Describe the locus L shown in the diagram below
Attached Figure / Diagram
A
Locus of points equidistant from X and Y
B
Locus of points equidistant from X and Z
C
Locus of points equidistant from \(\bar{ZX}\) and \(\bar{ZY}\)
D
Locus of points equidistant from \(\bar{XY}\) and \(\bar{ZY}\)
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 #26418)
Mathematics
WAEC / WASSCE 1999
Plane Geometry, Polygons & Circle Theorems
Diagram
Which of the following statements is true from the diagram above?
Attached Figure / Diagram
A
m + n = 90o
B
m = n
C
n > 45o
D
m o
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 #26419)
Mathematics
WAEC / WASSCE 1999
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, O is the centre of the circle ∠PQR = 75o, ∠OPS = yo and \(\bar{OR}\) is parallel to \(\bar{PS}\). Find y
Attached Figure / Diagram
A
15
B
30
C
45
D
75
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
In the diagram:
Source: Myschool Past Questions Archive (Record #26420)
Mathematics
WAEC / WASSCE 1999
Linear, Simultaneous & Quadratic Equations
Solution
The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm and x cm. Find x
A
16
B
17
C
34
D
90
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
8\(^2\) + (x - 2)\(^2\) = x\(^2\)
64 + x\(^2\) - 4x + 4 = x\(^2\)
x\(^2\) - 4x + 68 = x\(^2\)
-4x = -68
x = \(\frac{-68}{-4}\) = 17
Source: Myschool Past Questions Archive (Record #26421)
Mathematics
WAEC / WASSCE 1999
Plane Geometry, Polygons & Circle Theorems
Diagram
In the diagram, CDE is a triangle, ABEF is cyclic quadrilateral, AB||CD, ∠BAF = 65o and ∠AFE = 85o calculate ∠CDE
Attached Figure / Diagram
A
20o
B
30o
C
50o
D
65o
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 #26422)
Mathematics
UTME / JAMB 1999
Inequalities & Linear Programming
Diagram
the shaded portion in the graph is represented by
Attached Figure / Diagram
A
y + x - x \(\leq\) 0, y - x \(\leq\) 0
B
y - x + x, 3 \(\leq\) 0, y - x \(\geq\) 0
C
y + x - 3 \(\geq\) 0, y + x \(\leq\) 0
D
y - x + x3 \(\geq\) 0, y + x \(\leq\) 0
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 #33084)
Mathematics
UTME / JAMB 1999
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG, and FH are chords. If < FHG = 42º and < EFH = 34º, calculate < HEG.
Attached Figure / Diagram
A
34o
B
42o
C
52o
D
76o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
< EFH = < EGH = 34º (angles n the same segment)
< GHF = < GEF = 42º(angles in the same segment)
< FOG = 42 + 34 = 76º (exterior angle)
< FOG = < EOH = 76º (vertically opposite angle)
< EDO = 90º, < DOE = \(\frac{76}{2}\) = 38º
< HEG = 90º - 38º = 52º
Source: Myschool Past Questions Archive (Record #33085)
Mathematics
UTME / JAMB 1999
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the figure, PQRS is a circle with ST||RQ. Find the value of x if PT = pS
Attached Figure / Diagram
A
70o
B
55o
C
40o
D
35o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
o (sum of o - 110o = 70o
in o
2x + 70 = 180o
2x = 180o - 70o = 110o
x = \(\frac{110^o}{2}\) = 55o
Source: Myschool Past Questions Archive (Record #33086)
Mathematics
UTME / JAMB 1999
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the figure, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units
Attached Figure / Diagram
A
3
B
4
C
5
D
6
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
In \(\bigtriangleup\)WOP, b2 = r2 - (4.502...........(i)
In \(\bigtriangleup\)WOT, b\(\bigtriangleup\) + (4.5 + x)2 = a2...........(ii)
In \(\bigtriangleup\)ZOT, a2 = 62 + r2 ..........(iii)
subst. equation (iii) and (i) in eqn (ii)
r2 - (4.5)2 + (4.5 + x)2 = 36 = 20.25
= (4.5 + x)2 = \(\sqrt{56.25}\) = (4.5 + x)
= 56.25
= 4.5 + x = 7.5
x = 3.0m
x =
Source: Myschool Past Questions Archive (Record #33087)