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 20266–20280 of 29821 verified questions
Sort by:
Biology
UTME / JAMB 1999
Basic Ecological Concepts, Ecosystems & Biomes
Solution
Primary consumers are found in
A
1, 2 and 3
B
1, 3 and 7
C
2, 3 and 7
D
2, 4 and 5
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
Primary consumers are organisms that eat plants or algae, and are the first step in a food chain. They are also known as herbivores or plant-eaters. In the Food web given in the question, immediately after the plants (Primary producers, because they are autotrophs), the organisms that feed on the plants in the different food chains are called primary consumers, and they are found in numbers 2,3 and 7( moth, grasshopper and herbivorous bug respectively).
Source: Myschool Past Questions Archive (Record #56106)
Mathematics
WAEC / WASSCE 1998
Linear, Simultaneous & Quadratic Equations
Solution
Find the root of the equation 2x\(^2\) - 3x - 2 = 0
A
x = -2 or 1/2
B
x = -2 or1
C
x = -2 or 2
D
x = -1 or 2
E
x = -1/2 or 2
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
2x\(^2\) - 3x - 2 = 0
2x\(^2\) - 4x + x - 2 = 0
2x(x - 2) + 1(x - 2) = 0
(2x + 1)(x - 2) = 0
x = \(\frac{-1}{2}\) or x = 2
Source: Myschool Past Questions Archive (Record #22093)
Mathematics
WAEC / WASSCE 1998
Linear, Simultaneous & Quadratic Equations
Solution
What value of k makes the given expression a perfect square ? m\(^2\) - 8m + k = 0
A
2
B
4
C
8
D
16
E
64
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Take half the coefficient of m and square it
=> (-8/2)2 = k = 16
Source: Myschool Past Questions Archive (Record #22094)
Mathematics
WAEC / WASSCE 1998
Indices, Logarithms & Surds
Solution
If log\(_{10}\) q = 2.7078, what is q?
A
5102
B
849.9
C
510.2
D
84.99
E
51.02
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
q = 10\(^{2.7078}\)
Antilog of 2.7078 = 510.2
Source: Myschool Past Questions Archive (Record #22095)
Mathematics
WAEC / WASSCE 1998
Trigonometry, Elevation & Bearings
Solution
Cos x is negative and sin x is negative.Which of the following is true of x?
A
0o o
B
90o o
C
180o o
D
270o o
E
-90o o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
In the 3rd quadrant, only the tan of angles are positive.
The 3rd quadrant = 180^\circ < x < 270^\circ
Source: Myschool Past Questions Archive (Record #22096)
Mathematics
WAEC / WASSCE 1998
Fractions, Decimals, Percentages & Approximations
Solution
Simplify 0.63954 \div 0.003 giving your answer correct to two significant figures
A
213.18
B
213.00
C
213
D
210
E
21
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
= \(\frac{0.63954}{0.003}\)
moving the decimal places, we have
= \(\frac{639.54}{3}\)
= 213.18
\(\approxeq\) 210 (to 2 s.f.)
Source: Myschool Past Questions Archive (Record #22097)
Mathematics
WAEC / WASSCE 1998
Indices, Logarithms & Surds
Solution
If log\(_{10}\) a = 4; what is a?
A
0.4
B
40
C
400
D
1000
E
10000
medium Difficulty
Verified Correct Answer: Option E
Step-by-Step Mathematical Solution
log\(_{10}\) a = 4
a = 10\(^4\)
= 10000
Source: Myschool Past Questions Archive (Record #22098)
Mathematics
WAEC / WASSCE 1998
Fractions, Decimals, Percentages & Approximations
Solution
A student measured the length of a room and obtained the measurement of 3.99m. If the percentage error of is measurement was 5% and his own measurement was smaller than the length , what is the length of the room?
A
3.78m
B
3.80m
C
4.18m
D
4.20m
E
4.788m
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Let the actual length of the room = y m
\(\therefore \frac{y - 3.99}{y} \times 100 = 5%\)
\(100(y - 3.99) = 5y \implies 100y - 399 = 5y\)
\(100y - 5y = 399 \implies y = \frac{399}{95}\)
y = 4.2 m
Source: Myschool Past Questions Archive (Record #22099)
Mathematics
WAEC / WASSCE 1998
Trigonometry, Elevation & Bearings
Solution
When an aeroplane is 800m above the ground, its angle of elevation from a point P on the ground is 30o. How far is the plane from P by line of sight?
A
400m
B
800m
C
1500m
D
1600m
E
1700m
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
From the diagram, \(\sin 30 = \frac{800}{x}\)
\(x = \frac{800}{\sin 30} \)
= \(\frac{800}{0.5} \)
= 1600 m
Source: Myschool Past Questions Archive (Record #22100)
Mathematics
UTME / JAMB 1998
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In diagram, PQ || ST and < PQR = 120º, < RST = 130º, find the angle marked x
Attached Figure / Diagram
A
50
B
65
C
70
D
80
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Produce line PQ to meet line RS at U
< RQU = 180º - 120º = 60º (
In angle QRU: < QPT + RQU = < RUV ( 2 interior angles = one exterior angle)
x + 60º = 130º and x = 70º
Source: WAEC / JAMB / NECO Classroom Archive (Record #33077)
Mathematics
WAEC / WASSCE 1998
Fractions, Decimals, Percentages & Approximations
Solution
Given that \(\frac{6x-y}{x+2y}=2\), find the value of \(\frac{x}{y}\)
A
\(\frac{3}{8}\)
B
\(\frac{5}{8}\)
C
\(\frac{4}{5}\)
D
\(\frac{5}{4}\)
E
\(\frac{8}{5}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{6x-y}{x+2y}=2\)
→ \((6x-y) = (x+2y)2\)
= 6x - y = 2x + 4y
Collect like terms: 6x - 2x = 4y + y
→ 4x = 5y
\(\frac{x}{y} = \frac{5}{4}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #26338)
Mathematics
WAEC / WASSCE 1998
Fractions, Decimals, Percentages & Approximations
Solution
Express as a single fraction: \(\frac{x}{x-2}-\frac{x+2}{x+3}\)
A
\(\frac{2x^2 - 3x - 4}{(x-2)(x+3)}\)
B
\(\frac{2x^2 + 3x - 4}{(x-2)(x+3)}\)
C
\(\frac{2}{(x-2)(x+3)}\)
D
\(\frac{ 3x + 4}{(x-2)(x+3)}\)
E
\(\frac{3x - 4}{(x-2)(x+3)}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{x}{x-2}-\frac{x+2}{x+3}\)
\(\frac{[x][x+3] - ([x+2][x-2])}{[x-2][x+3]}\)
= \(\frac{x^2 + 3x - (x^2 - 4)}{[x-2][x+3]}\)
= \(\frac{3x + 4}{[x-2][x+3]}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #26341)
Mathematics
UTME / JAMB 1998
Sets, Logic & Venn Diagrams
Diagram
In the venn diagram, the shaded region is?
Attached Figure / Diagram
A
(P \(\cap\) Q) \(\cup\) R
B
(P \(\cap\) Q) \(\cap\) R
C
(P \(\cap\) Q1) \(\cap\) R
D
(P \(\cap\) Q1) \(\cup\) R
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: WAEC / JAMB / NECO Classroom Archive (Record #33074)
Mathematics
WAEC / WASSCE 1998
Linear, Simultaneous & Quadratic Equations
Solution
Find the equation whose roots are \(\frac{2}{3}and \frac{-1}{4}\)
A
\(12x^2-5x+2=0\)
B
\(12x^2-11x+2=0\)
C
\(x^2-\frac{11}{12}x+2=0\)
D
\(x^2+\frac{11}{12}x-2=0\)
E
\(12x^2+11x+2=0\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
x\(^2\) - (sum of given roots)x + (product of given roots ) = 0
x\(^2\) - (\(\frac{2}{3} + \frac{-1}{4}\))x + (\(\frac{2}{3} * \frac{-1}{4}\)) = 0
x\(^2\) - (\(\frac{8 - 3}{12}\))x + (\(\frac{- 2}{12}\))
x\(^2\) - \(\frac{5}{12}\)x + \(\frac{- 2}{12}\)
multiply through by the LCM 12
12 * x\(^2\) - 12 * \(\frac{5}{12}\)x + 12 * \(\frac{- 2}{12}\)
12x\(^2\) - 5x - 2 = 0
Source: WAEC / JAMB / NECO Classroom Archive (Record #26334)
Mathematics
UTME / JAMB 1998
Linear, Simultaneous & Quadratic Equations
Solution
Factorize r2 - r(2p + q) + 2pq
A
(r - 2q)(2r - p)
B
(r - p)(r + p0
C
(r - q)(r - 2p)
D
(2r - q)(r + p)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
r2 - r(2p + q) + 2pq = r2 - 2pr -qr + 2pq
= r(r - 2p) - q(r - 2p)
= (r - q)(r - 2p)
Source: WAEC / JAMB / NECO Classroom Archive (Record #30673)