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 14806–14820 of 29821 verified questions
Sort by:
Mathematics
UTME / JAMB 2005
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
The modal height and range of heights 1.35, 1.25, 1.35, 1.40, 1.35, 1.50, 1.35, 1.50, and 1.20 are m and r, respectively. Find m+2r.
A
1.35
B
1.65
C
1.95
D
3.00
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
1.35, 1.25, 1.35, 1.40, 1.35, 1.50, 1.35, 1.50, and 1.20
Modal height = 1.35
Range (r) = 1.50 - 1.20
= 0.30
∴m + 2r = 1.35 + 2(0.30)
= 1.35 + 0.60
= 1.95
Source: Myschool Past Questions Archive (Record #8610)
Mathematics
UTME / JAMB 2005
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is \sqrt2
A
1
B
2
C
3
D
4
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
\(mean(x) = \frac{20t}{5}\)
= S.D = \(\sqrt{\frac{((\overline{x} - x)^2}{\text{n}}}\)
\(\sqrt{2}\) = \(\sqrt{\frac{10t^2}{5}}\)
2 = \(\frac{10t^2}{5}\)
10t\(^2\) = 10
t\(^2\) = 1
t = \(\sqrt{1}\) = 1
Source: Myschool Past Questions Archive (Record #8611)
Mathematics
UTME / JAMB 2005
Permutations, Combinations & Probability
Solution
In how many ways can 6coloured chalks be arranged if 2 are same colour?
A
60
B
120
C
240
D
360
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{6!}{2!} = ways
=\(\frac{6\times5\times4\times3\times2!}{2!}\)
= 6\(\times5\times4\times3\)
= 360ways
Source: Myschool Past Questions Archive (Record #8612)
Mathematics
UTME / JAMB 2005
Permutations, Combinations & Probability
Solution
How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table
A
360
B
720
C
2520
D
5040
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
(n - 1)! = (7 - 1)!
= 6!
= 6*5*4*3*2*1
= 720 ways
Source: Myschool Past Questions Archive (Record #8613)
Mathematics
UTME / JAMB 2005
Permutations, Combinations & Probability
Solution
A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls
A
\(\frac{17}{50}\)
B
\(\frac{3}{25}\)
C
\(\frac{1}{50}\)
D
\(\frac{3}{250}\)
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Blue balls = 5
Red balls = 3
White balls = 2
Total = 10
P(Two blue) = 5/10 * 5/10 = 25/100
P(Two Red) = 3/10 * 3/10 = 9/100
∴P(Two blue or two red balls)
= 25/100 + 9/100
= 34/100
= 17/50
Source: Myschool Past Questions Archive (Record #8614)
Mathematics
UTME / JAMB 2005
Inequalities & Linear Programming
Solution
What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random is divisible by both 2 and 3?
A
\(\frac{1}{20}\)
B
\(\frac{1}{3}\)
C
\(\frac{3}{20}\)
D
\(\frac{7}{10}\)
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}
A = {x/x is divisible by 2}
A = {2,4,6,8,10,12,14,16,18,20}
B = {x/x is divisible by 3}
A ∩ B = {6, 12, 18}
P(Number divisible by both 2 and 3)
= 3/20
Source: Myschool Past Questions Archive (Record #8615)
Mathematics
NECO SSCE 2005
Number Bases & Modular Arithmetic
Solution
What is the Value of 11101\(_{two}\)+ 10011\(_{two}\) - 10001\(_{two}\)?
A
10001\(_{two}\)
B
10011\(_{two}\)
C
10111\(_{two}\)
D
11111\(_{two}\)
E
111111\(_{two}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
11101\(_{two}\) → 29
+ 10011\(_{two}\) → 19
- 10001\(_{two}\) → 17
11111 = 31
Source: WAEC / JAMB / NECO Classroom Archive (Record #42425)
Mathematics
WAEC / WASSCE 2005
Fractions, Decimals, Percentages & Approximations
Solution
Correct 0.04945 to two significant figures
A
0.040
B
0.049
C
0.050
D
0.49
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
0.04945 \(\approxeq\) 0.049. (to 2 sig. figs)
Source: WAEC / JAMB / NECO Classroom Archive (Record #26670)
Mathematics
WAEC / WASSCE 2005
Fractions, Decimals, Percentages & Approximations
Solution
Simplify: \(\frac{2}{3xy} - \frac{3}{4yz}\)
A
\(\frac{2-x}{12xyz}\)
B
\(\frac{2z-3x}{12xyz}\)
C
\(\frac{4z-3x}{12xyz}\)
D
\(\frac{8z-9x}{12xyz}\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(\frac{2}{3xy} - \frac{3}{4yz} = \frac{2(4)-3(3x)}{12xyz} = \frac{8z-9x}{12xyz}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #26703)
Mathematics
WAEC / WASSCE 2005
Fractions, Decimals, Percentages & Approximations
Solution
Ladi sold a car for N84,000 at a loss of 4%. How much did ladi buy the car?
A
80,500
B
80,640
C
87,360
D
87,500
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
SP = 84,000
Loss% = 4%
100% = 4% = 96% = \(\frac{96}{100}\)
Reverse \(\frac{96}{100}\) and use it to multiply SP to get the cost price.
CP = 84,000 x \(\frac{100}{96}\) = N 87500.
Source: WAEC / JAMB / NECO Classroom Archive (Record #26713)
Mathematics
WAEC / WASSCE 2005
Trigonometry, Elevation & Bearings
Solution
The angle of elevation of the top of a cliff 15 meters high from a landmark is 60º. How far is the landmark from the foot of the cliff? Leave your answer in surd form
A
\(15\sqrt{3}m\)
B
\(15\sqrt{2}m\)
C
\(10\sqrt{3}m\)
D
\(5\sqrt{3}m\)
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
Tan 60º = \(\frac{15}{x}\)
cross multiply:
x = \(\frac{15}{\sqrt3}\) = 5\(\sqrt3\)m
Source: WAEC / JAMB / NECO Classroom Archive (Record #26709)
Physics
UTME / JAMB 2005
Calorimetry, Latent Heat & Change of State
Solution
I. reproducibility
II. Sensibility
III. High thermal capacity
iv. High accuracy
The quantities of a good thermometer include?
A
I, II and IV only
B
I, III and IV only
C
I, II and III only
D
II, III and IV only
medium Difficulty
Verified Correct Answer: Option A
Physical Principles & Numerical Solution
Reproducibility (I)
Consistent readings under the same conditions.
Sensibility (II)
Quick response to small temperature changes.
High Accuracy (IV)
Measurements close to the true temperature.
Source: WAEC / JAMB / NECO Classroom Archive (Record #13752)
Physics
WAEC / WASSCE 2005
Newton's Laws, Momentum & Collisions
Solution
A body of mass 25kg, moving at 3ms-1 on a rough horizontal floor, is at rest after sliding through a distance of 2.50m on the floor. Calculate the coefficient of sliding friction. [g = 10.0ms\(^{-2}\)]
A
0.09
B
0.18
C
0.36
D
0.54
medium Difficulty
Verified Correct Answer: Option B
Physical Principles & Numerical Solution
a = \(\frac{v^2 + u^2}{2s} = \frac{0^2 + 3^2}{2 \times 2.5}\) = 1.8m/s2
F = ma = 25 x 1.8 = 45N
N = mg = 25 x 10 = 250
but \(\mu = \frac{F}{R} = \frac{45}{25 \times 10} = 0.18\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #34428)
Physics
WAEC / WASSCE 2005
Current Electricity & Electric Circuits
Solution
Which of the following statements explains lost volt in an electric circuit? The
A
total p.d from a source to maintain a flow of current through the circuit as well as the source
B
p.d to drive current through the circuit component except the source
C
p.d across all external components connected to the source of electricity
D
p.d across the internal resistance of the cell
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
The lostvolt is the potential drop in a cell due to internal resistance.
Source: WAEC / JAMB / NECO Classroom Archive (Record #34541)
Physics
UTME / JAMB 2005
Work, Energy, Power & Simple Machines
Solution
The resistance of a piece of wire of length 20m has crossed-sectional area 8 x 10\(^{-6}\)m\(^2\)is?
[Resistivity of the wire = 4 x 10\(^{-7}\) Ω m]
A
5.0 Ω
B
0.5 Ω
C
10.0 Ω
D
1.0 Ω
medium Difficulty
Verified Correct Answer: Option D
Physical Principles & Numerical Solution
since resistance R = \(\frac{p(l)}{a}\)
= \(\frac{4 \times 10^{-7} \times 20}{8.0 \times 10^{-6}}\)
R = 1.0 Ω
Source: WAEC / JAMB / NECO Classroom Archive (Record #13818)