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 6451–6465 of 14893 verified questions
Sort by:
Biology
UTME / JAMB 2008
Population Ecology, Habitats & Conservation
Diagram
Solution
In the diagram, the population size of species II on the 20th day is
Attached Figure / Diagram
A
100
B
200
C
300
D
400
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
from the given graph, It is 200.
Source: Myschool Past Questions Archive (Record #37196)
Biology
UTME / JAMB 2008
Variation & Genetics (Heredity)
Diagram
Solution
In the diagram, which of the four offspring of the cross will be short if T the gene for tallness is dominant to t?
Attached Figure / Diagram
A
i
B
ii
C
iii
D
iv
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
The cross that will be short is iv.
Source: Myschool Past Questions Archive (Record #37197)
Biology
UTME / JAMB 2008
Variety of Organisms & Classification of Living Things
Diagram
Solution
In the diagram, the genotypic ratio of the offspring of the cross is
Attached Figure / Diagram
A
1:2
B
1:2:1
C
1:1:1:1
D
3:1
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
TT : 2Tt : tt
so it is 1 : 2 : 1
Source: Myschool Past Questions Archive (Record #37198)
Biology
UTME / JAMB 2008
Variety of Organisms & Classification of Living Things
Diagram
Solution
Use the diagram above to answer this question. The male inflorescence is labeled
Attached Figure / Diagram
A
i
B
ii
C
iii
D
iv
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
The part labeled i is the male inflorescence also known as tassel.
Source: Myschool Past Questions Archive (Record #40373)
Biology
UTME / JAMB 2008
Adaptation & Evolution
Solution
The natural process that produces adaptive evolutionary changes is
A
Mutation
B
Gene flow
C
Genetic drift
D
Natural selection
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
Natural selection: this suggests the survival of individuals whose adaptive variations are more suited to the environment and whose traits are transmitted to subsequent generations. Natural selection is the primary explanation for evolutionary change.
Source: Myschool Past Questions Archive (Record #41473)
Biology
UTME / JAMB 2008
Adaptation & Evolution
Solution
The natural process that produces adaptive evolutionary changes is
A
Mutation
B
Gene flow
C
Genetic drift
D
Natural selection
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
Natural selection: this suggests the survival of individuals whose adaptive variations are more suited to the environment and whose traits are transmitted to subsequent generations. Natural selection is the primary explanation for evolutionary change.
Source: Official Exam / Past Question Archive
Mathematics
UTME / JAMB 2007
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
If 5, 8, 6 and 2 occur with frequencies 3, 2, 4 and 1 respectively. Find the product of the modal and the median number
A
36
B
48
C
30
D
40
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Arrange in ascending order
2, 5, 5, 5, 6, 6, 6, 6, 8, 8
Position of median = N/2 = 10/2 = 5th and 6th
∴Median = (6+6) / 2 = 12/2 = 6
Mode the item that repeats itself most = 6
∴Product of modal and median number = 6 x 6 = 36
Source: Myschool Past Questions Archive (Record #9083)
Mathematics
UTME / JAMB 2007
Permutations, Combinations & Probability
Solution
In a basket, there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random. What is the probability that the fruit is either a grape or a banana
A
6/30
B
5/30
C
17/30
D
11/30
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Number of grapes = 6
Number of banana = 11
Number of oranges = 13
Total = 30
P(Grape) = 6/30, P(Banana) = 11/30
P(Orange) = 13/30
∴P(Either grape or banana) = 6/30 + 11/30
= 17/30
Source: Myschool Past Questions Archive (Record #9107)
Mathematics
UTME / JAMB 2007
Statistics (Data Representation, Central Tendency & Dispersion)
Diagram
Solution
The histogram above represents the weights of students who traveled out to their school for an examination. How many people made the trip?
Attached Figure / Diagram
A
78
B
38
C
29
D
69
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
students who made the trip = 2 + 3 + 4 + 5 + 6 + 8 + 1 = 29
Source: Myschool Past Questions Archive (Record #9122)
Mathematics
UTME / JAMB 2007
Plane Geometry, Polygons & Circle Theorems
Solution
A senatorial candidate had planned to visit seven cities prior to a primary election. However, he could only visit four of the cities. How many different itineraries could be considered?
A
640
B
840
C
520
D
920
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Number of itineraries = 7P4
= \(\frac{7!}{(7-4)!}\)
=\(\frac{7!}{3!}\)
=\(\frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}\)
= 840
Source: Myschool Past Questions Archive (Record #9144)
Mathematics
UTME / JAMB 2007
Statistics (Data Representation, Central Tendency & Dispersion)
Diagram
Solution
The pie chart above illustrate the amount of private time a student spends in a week studying various subjects. Find the value of k
Attached Figure / Diagram
A
90o
B
60o
C
30o
D
40o
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
K + 2K + 3K + 75 + 105 = 360 (at a point)
6K + 180 = 360
6K = 360 - 180
6K = 180
k = 180/6 = 30º
Source: Myschool Past Questions Archive (Record #9150)
Mathematics
UTME / JAMB 2007
Permutations, Combinations & Probability
Diagram
Solution
The table above shows the number of pupils in each age group in a class. What is the probability that a pupil chosen at random is at least 11 years old?
Attached Figure / Diagram
A
27/40
B
17/20
C
3/30
D
33/40
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
P(At least 11 yrs) = P(11yrs) + P(12yrs)
= \(\frac{27}{40}\) + \(\frac{7}{40}\)
= \(\frac{34}{40}\)
= \(\frac{17}{20}\)
Source: Myschool Past Questions Archive (Record #9152)
Mathematics
UTME / JAMB 2007
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
What is the mean deviation of 3, 5, 8, 11, 12 and 21?
A
4.7
B
60
C
3.7
D
10
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
Mean \(= \bar{x} = \frac{60}{6} = 10\)
mean deviation \(= \frac{\sum|x-\bar{x}|}{n} = \frac{28}{6}\)
= 4.7
Source: Myschool Past Questions Archive (Record #9218)
Mathematics
UTME / JAMB 2007
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
Marks
3
4
5
6
7
8
Frequency
5
(y - 1)
y
9
4
1
The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, calculate the value of y
A
15
B
13
C
11
D
8
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Total mark scored = 200
∴200 = 15 + 4y - 4 + 5y + 54 + 28 + 8
200 = 9y + 101
200 - 101 = 9y
99 = 9y
∴y = 11
Source: Myschool Past Questions Archive (Record #9219)
Mathematics
UTME / JAMB 2007
Permutations, Combinations & Probability
Solution
In how many ways can 6 subjects be selected from 10 subjects for an examination
A
218
B
216
C
215
D
210
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
\(^{10}C_6 = \frac{10!}{(10-6)!6!}=\frac{10!}{4!6!}\\
=\frac{(10\times 9\times 8\times 7 \times 6!)}{4\times 3\times 2\times 1\times 6!}\\
=210\)
Source: Myschool Past Questions Archive (Record #9220)