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 5866–5880 of 14893 verified questions
Sort by:
Biology
UTME / JAMB 2010
Adaptation & Evolution
Solution
(a)(I)Name the organisms to which specimens A and B belong.
(ii)) State the habitats of the organisms named n 1(a)) above.
(b) State how the structure of specimens A and B adapt tne organisms to their mode of life.
(c)(i) Outline one difference. (ii) two similarities between specimens A ana B.
(d) Make drawing 8- 10 cm long of specimen B and label fully.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a)(i) Name of organism: A Domestic fowl/hen/cock/chicken. B Duck
(ii) Habitats: A - terrestrial/land, B- Terrestrial/land. -Aquatic/fresh water/marine/sea/pond/lake/stream/river.
(b) Adaptations to environment: Specimen A:
- Presence of digits for walking on land. - Position of digits/three forward one backward/presence of class on digits.
- For digging/searching/scratching for food/defense,
- Presence of scales on foot to prevent desiccation/drying.
Specimen B Webbed digits for swimming/paddling in water/ increases. - Surface area for walking on mud. - Presence of claws for digging for food.
- Presence of scales on foot to prevent/protect against desiccation/drying/injury.
(c)(i) Differences between specimens A and B
A/Chicken foot : -digits free; -hind digit long
B/Duck foot: -digits webbed; -hind digit short
(ii) Similarities: Both specimens have scales - Presence of claws on digits. -Presence of three forward and one backward pointing digits. - Both have 4 digits each.
Source: Myschool Past Questions Archive (Record #60755)
Biology
UTME / JAMB 2010
Variety of Organisms & Classification of Living Things
Solution
(a)(i) State the agricultural classification of specimens M and N.
(ii) What advantage does the cultivation of specimen M have over the cultivation of specimen N?
(b) State (i) the main classes of food in each of Specimens M and N. (i) the functions of the food classes named in 4(b)(i) above.
(c)(i) Describe the state of specimens M and N.
(ii) Name the pest responsible for the state of specimens M and N.
(iii) State the phylum and class of the pest with reasons.
(iv) Name two other crops which tne pest infests.
(d)i) State three adaptive features of the pest to its mode of life.
(ii) State four ways of preventing the activity of the named pest.
(e) State two other pests that can infest specimens M and N
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a)(i) Agricultural classification: Classification of M and N: M/Bean seed - Legume N/Maize- Cereal
(ii) Advantage of cultivation of M over cultivation of N: - Acts a cover plants to prevent erosion . Enriches the soil/conversion of atmospheric nitrogen to nitrates which are absorbed by the roots of the plants.
(b)(i) Main classes of food: M/Bean - Protein N/Maize - Carbohydrate.
(b)(ii) Functions: For body building/replacement /repair of worn out tissues. - For energy production
(c)(i) State of M and N: Perforated/has holes/hollow, powdery. - Eaten/spoilt insects/infested.
(ii) Pest: Weevil
(iii) Phylum and Class with reasons:
Phylum
Reasons
Anthropoda
Segmented body
Chitinous exoskeleton
Jointed appendages
Class
Reasons
Insecta
Three body divisions/head, thorax and abdomen
Three pairs of jointed legs. - Two pairs of wings
(iv) Other crops; Rice, millet, guinea Corn, wheat.
(d)(i) Adaptive Features of Pest: - Long proboscis/Rostrum. burrowing into the grain/feeding. - Hard forelimbs/elytron. -To protect hind/inner membranous wing/soft body. Small body size, - That will enable it For piercing/ penetrate/enter tne grain. - (Membranous) wings. for flying.
(ii) Preventive measures: - Proper drying of grains. -Use of pesticides/insecticide. - Store in a dry place. - Use of irradiation. - Avoid mixing old stock of grains witn new grains. - Store in air light container.
(e) Other pests: - Rats - Mice- Squirrel - Rabbit.
Source: Myschool Past Questions Archive (Record #60761)
Mathematics
UTME / JAMB 2009
Plane Geometry, Polygons & Circle Theorems
Diagram
Solution
In the figure above , TS//XY and XY = TY, ∠STZ = 34°, ∠TXY = 47°, find the angle marked n?
Attached Figure / Diagram
A
47o
B
52o
C
56o
D
99o
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
In \Delta TYX
XY = TY ∴y =47^\circ base ∠s of ISC\Delta
But y+x+34+47 = 180 interior
opposite ∠s are supplementary
47 + x + 34 + 47 = 180
x + 128= 180
x = 180- 128
x = 52^\circ
Source: WAEC / JAMB / NECO Classroom Archive (Record #9328)
Mathematics
UTME / JAMB 2009
Plane Geometry, Polygons & Circle Theorems
Solution
If the hypotenuse of a right-angled isosceles triangle is 2cm. What is the area of the triangle?
A
1/√2 cm2
B
1 cm2
C
√2 cm2
D
2√2 cm2
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
X\(^2\) + x\(^2\) = 2\(^2\)
2x\(^2\) = 4
x\(^2\) = 4/2
x\(^2\) = 2
x = +/-\sqrt2
Area of \Delta = 1/2bh
= 1/2 x \sqrt2 x \sqrt2
= 2/2
= 1 cm\(^2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #9329)
Mathematics
UTME / JAMB 2009
Plane Geometry, Polygons & Circle Theorems
Solution
A chord drawn 5 cm away from the center of a circle of radius 13 cm. Calculate the length of the chord?
A
7cm
B
9cm
C
12cm
D
24cm
medium Difficulty
Verified Correct Answer: Option D
Step-by-Step Mathematical Solution
x\(^2\) + 5\(^2\) = 13\(^2\)
x\(^2\) + 25 = 169
x\(^2\) = 144
x = \sqrt 144
= 12
Length of the chord AB = 2x
2\(\times\)12= 24cm
Source: WAEC / JAMB / NECO Classroom Archive (Record #9330)
Mathematics
UTME / JAMB 2009
Mensuration (Areas, Perimeters & Volumes)
Solution
Find the radius of a sphere whose surface area is 154 cm\(^2\)?
A
7.00 cm
B
3.50 cm
C
3.00 cm
D
1.75 cm
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Surface Area of a sphere = 4\(\pi\)r\(^2\)
S.A of a sphere = 154 = 4 x \(\frac{22}{7}\) x r\(^2\)
r\(^2\) = \(\frac{154 \times 7}{4 \times 22}\)
r\(^2\) = \(\frac{49}{4}\)
r = \(\sqrt{\frac{49}{4}}\)
r = \(\frac{7}{2}\)
r = 3.5cm.
Source: WAEC / JAMB / NECO Classroom Archive (Record #9331)
Mathematics
UTME / JAMB 2009
Number Bases & Modular Arithmetic
Solution
If 55\(_x\) + 52\(_x\) = 77\(_{10}\) find X
A
5
B
6
C
7
D
10
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
5 \(\times\) x\(^1\) + 5 \(\times\) x\(^0\) + 5 \(\times\) x\(^1\) + 2 \(\times\) x\(^0\) = 77
(change all to base 10)
5x + 5 + 5x + 2 = 77
10x + 7 = 77
10x = 77-7
10x = 70
x = 70/10
x = 7
Source: Myschool Past Questions Archive (Record #9304)
Mathematics
UTME / JAMB 2009
Plane Geometry, Polygons & Circle Theorems
Solution
Simplify \(7\frac{1}{12}-4\frac{3}{4}+2\frac{1}{2}\)
A
4
B
41/6
C
45/6
D
51/6
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Convert each mixed number to an improper fraction:
7 \(\frac{1}{12}\) = 7 + \(\frac{1}{12}\) = \(\frac{84}{12} + \frac{1}{12}\) = \(\frac{85}{12}\)
4 \(\frac{3}{4}\) = 4 + \(\frac{3}{4}\) = \(\frac{16}{4}\) + \(\frac{3}{4}\) = \(\frac{19}{4}\)
2 \(\frac{1}{2}\) = 2 + \(\frac{1}{2}\) = \(\frac{4}{2}\) + \(\frac{1}{2}\) = \(\frac{5}{2}\)
Now calculate: \(\frac{85}{12} − \frac{19}{4} + \frac{5}{2}\)
Common denominator = 12
\(\frac{85}{12}\) − (\(\frac{19}{4}\) \(\times\) \(\frac{3}{3}\)) + (\(\frac{5}{2}\) \(\times\) \(\frac{6}{6}\))
= \(\frac{85}{12}\) − \(\frac{57}{12}\) + \(\frac{30}{12}\)
= (\(\frac{85 − 57 + 30)}{12}\)
= \(\frac{(58)}{12}\)
= \(\frac{29}{6}\) = 4 \(\frac{5}{6}\).
Source: Myschool Past Questions Archive (Record #9305)
Mathematics
UTME / JAMB 2009
Fractions, Decimals, Percentages & Approximations
Solution
Evaluate \(\frac{81.81+99.44}{20.09+36.16}\) correct to 3 significant figures.
A
6.24
B
3.22
C
2.78
D
2.13
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{81.81 + 99.44}{20.09 + 36.16}\\
=\frac{181.25}{56.25}\\
=\frac{18125}{5625}\\
\frac{29}{9}\\
=3\frac{2}{9}\\
≅ 3.22\)
Source: Myschool Past Questions Archive (Record #9306)
Mathematics
UTME / JAMB 2009
Fractions, Decimals, Percentages & Approximations
Solution
A man bought a second-hand photocopying machine for N34,000. He serviced it at a cost of N2,000 and then sold it at a profit of 15%. What was the selling price?
A
N37,550
B
N40,400
C
N41,400
D
N42,400
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
C.P = N34000 + N2000 = N36000
Gain = 100 + 15 = 115%
S.P = \(\frac{115}{100}\times \frac{N3600}{1}\)
= N41400
Source: Myschool Past Questions Archive (Record #9307)
Mathematics
UTME / JAMB 2009
Plane Geometry, Polygons & Circle Theorems
Solution
A student spent 1/5 of his allowance on books, 1/2 of remainder on food and kept the rest for contingencies. What fraction was kept?
A
7/15
B
8/15
C
2/5
D
4/5
medium Difficulty
Verified Correct Answer: Option C
Step-by-Step Mathematical Solution
Let his allowance = y.
\(Books = \frac{y}{5}\)
\(Remainder: y - \frac{y}{5} = \frac{4y}{5}\)
\(Food: \frac{1}{2} \times \frac{4y}{5} = \frac{2y}{5}\)
\(Contingencies: \frac{4y}{5} - \frac{2y}{5} = \frac{2y}{5}\)
Therefore, he kept \(\frac{2}{5}\) of his allowance for contingencies.
Source: Myschool Past Questions Archive (Record #9308)
Mathematics
UTME / JAMB 2009
Indices, Logarithms & Surds
Solution
If log\(_{10}\)2 = 0.3010 and log\(_{10}\)7 = 0.8451, evaluate log\(_{10}\)280
A
3.4471
B
2.4471
C
1.4471
D
1.4071
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
Log 2 = 0.3010, Log 7 = 0.8451
∴Log 280 = Log 28 x 10
= Log 7x4x10
=Log7 + Log4 + Log10
= Log7 + Log2\(^2\) + Log10
= Log7 + 2Log2 + Log10
= 0.8451 + 2(0.3010) + 1
= 0.8451 + 0.6020 + 1
= 2.4471
Source: Myschool Past Questions Archive (Record #9310)
Mathematics
UTME / JAMB 2009
Indices, Logarithms & Surds
Solution
Simplify \(\frac{5+\sqrt{7}}{3+\sqrt{7}}\)
A
17-√7
B
4-√7
C
15+√7
D
7-√7
medium Difficulty
Verified Correct Answer: Option B
Step-by-Step Mathematical Solution
\(\frac{5+\sqrt{7}}{3+\sqrt{7}}=\frac{5+\sqrt{7}}{3+\sqrt{7}}\times \frac{3-\sqrt{7}}{3-\sqrt{7}}\)
=\(\frac{(5+\sqrt{7})(3-\sqrt{7})}{3^2 - \sqrt{7}^2}\)
=\(\frac{15-5\sqrt{7}+3\sqrt{7}-7}{9-7}\)
= \(\frac{8-2\sqrt{7}}{2}\)
Factorize, then divide by 2
\(=\frac{2(4-\sqrt{7}}{2})\)
=4-\(\sqrt{7}\)
Source: Myschool Past Questions Archive (Record #9311)
Mathematics
UTME / JAMB 2009
Inequalities & Linear Programming
Solution
If x = {n\(^2\)+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5},
Y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}, find x \(\cap\) y.
A
{5,10}
B
{5, 10, 15}
C
{2, 5, 10}
D
{5, 10, 15, 20}
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
X = {n(^2\)+1:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}
Implies X = {2, 5, 10, 17, 26} i.e. put n= 1, 2, 3, 4 and 5
Y = {5n:n is a positive integer and 1 \(\leq\) n \(\leq\) 5}
Put X = 1, 2, 3, 4, and 5
Y = {5, 10, 15, 20, 25}
X \(\cap\) Y = {2, 5, 10, 17, 26} \(\cap\) {5, 10, 15, 20, 25}
= {5, 10}
Source: Myschool Past Questions Archive (Record #9312)
Mathematics
UTME / JAMB 2009
Sets, Logic & Venn Diagrams
Solution
I.S∩T∩W=S II. S ∪ T ∪ W = W
III. T ∩ W = S
If S⊂T⊂W, which of the above statements are true?
A
I and II
B
I and III
C
II and III
D
I, II and III
medium Difficulty
Verified Correct Answer: Option A
Step-by-Step Mathematical Solution
If S \(\subset\) T \(\subset\) W,
S \(\cap\) T \(\cap\) W = S is true since S \(\cap\) T = S and S \(\cap\) W = S.
S \(\cup\) T \(\cup\) W = W is also true. S \(\cup\) T = T and T \(\cup\) W = W.
However, to say that T \(\cap\) W = S is not very true mathematically. Instead, it is safe to say S \(\subset\) (T \(\cap\) W).
Source: Myschool Past Questions Archive (Record #9313)