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Mathematics
WAEC / WASSCE 2018
Plane Geometry, Polygons & Circle Theorems
Solution
Using ruler and a pair of compasses only, construct:
(a) (i) quadrilateral PQRS with |PQ| = 6 cm, |PS| = 8 cm, < PSR = 90\(^o\), |SR| = 12 cm and |QR| = 11 cm;
(ii) perpendicular from Q to cut \(\over{SR}\) at K.
(b) Measure:
(i) IQRI;
(ii) < QRS.
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
(a) The following solution was expected from the candidates
(b) (i) |QK| = 9.3cm
(ii) < QRS = 55\(^o\)
Source: Myschool Past Questions Archive (Record #56403)
Mathematics
WAEC / WASSCE 2018
Statistics (Data Representation, Central Tendency & Dispersion)
Solution
The table shows the distribution of marks scored by students in a test.
Mark
(%)
10 - 19
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79
80 - 89
90 - 99
Frequency
4
7
12
18
20
14
9
4
2
(a) Construct a cumulative frequency table for the distribution.
(b) Draw a cumulative frequency curve for the distribution.
(c) Use the curve to estimate the:
(i) median;
(ii) probability that a student selected at random obtained distinction, if the lowest mark for distinction is 75%.
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
(a)
Marks
Class
Boundaries
Frequency
Cumulative
Frequency
10 - 19
9.5 - 19.5
4
4
20 - 29
19.5 - 29.5
7
11
30 - 39
29.5 - 39.5
12
23
40 - 49
39.5 - 49.5
18
41
50 - 59
49.5 - 59.5
20
61
60 - 69
59.5 - 69.5
14
75
70 - 79
69.5 - 79.5
9
84
80 - 89
79.5 - 89.5
4
88
90 - 99
89.5 - 99.5
2
90
(b) The cumulative frequency curve
(c)(i) using the curve, the median was 51.5.
(ii) Using the curve, the estimate of tbe number of students who scored at least 75% was 90 - 80 = 10
Therefore, Prob(that a student selected at random obtained distinction) = \(\frac{10}{90} = \frac{1}{9}\)
Source: Myschool Past Questions Archive (Record #56404)
Mathematics
WAEC / WASSCE 2018
Mensuration (Areas, Perimeters & Volumes)
Solution
A container, in the form of a cone resting on its vertex, is full when 4.158 litres of water is poured into it.
(a) If the radius of its base is 21 cm,
(i) represent the information in a diagram;
(ii) calculate the height of the container.
(b) A certain amount of water is drawn out of the container such that the surface diameter of the water drops to 28 cm. Calculate the volume of the water drawn out. (Take \(\pi\) = \(\frac{22}{7}\))
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
(a) (i) The diagram can be represented as:
(ii) first they were expected to convert from litres to cm\(^3 \) by using the fact that 1000 cm\(^3\) = 1 litre, then 4.158 litres = 4158 cm\(^3\).
If the volume and height of the container were V\(_1\) and h\(_1\) respectively, then, V\(_1\) = \(\frac{1}{3}\) x \(\frac{22}{7}\) x 21 x 21 x h\(_1\) = 4,158 which simplified to 462h\(_1\) = 4,158. Therefore, h\(_1\) = 9cm.
(b) let h\(_2\) be the height of the water remaining in the container.
Then by similar triangles, \(\frac{h_2}{9}\) = \(\frac{14}{21}\), h\(_2\) = 6 cm.
If we let V\(_2\) be the volume of water remaining in the container, V\(_2\) = \(\frac{1}{3} \times \frac{22}{7}\) x 14 x 14 x 6 = 1,232 cm\(^2\).
Volume of water drawn out = (4,158 — 1,232) cm\(^3\) = 2,926 cm\(^3\)
Source: Myschool Past Questions Archive (Record #56405)
Mathematics
WAEC / WASSCE 2018
Trigonometry, Elevation & Bearings
Solution
A man starts from a point X and walk 285 m to Y on a bearing of 078\(^o\). He then walks due South to a point Z which is 307 m from X.
(a) Illustrate the information on a diagram.
(b) Find, correct to the nearest whole number, the:
(i) bearing of X from Z;
(ii) distance between Y and Z.
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
(a) They sketched the required diagram as follows:
(b) (i), using sine rule \(\frac{285}{\sin z} = \frac{307}{\sin 307}\)
Then sin z \(\frac{285 \times \sin 78^o}{307} = \frac{285 \times 0.9781}{307}\) = 0.9080
Z = \(\sin^{-1}(0.9080)\) = 65.23\(^o\)
The bearing of X from Z = 360\(^o\) - 65.23\(^o\) = 294.77\(^o\) \(\approx\) 295\(^o\) or N65\(^o\)W correct to the nearest whole number.
(b)(ii) They obtained < YXZ = 180\(^o\) - 143.23\(^o\) = 36.77\(^o\)
Then, using sine rule, \(\frac{\text{|YZ|}}{\sin 36.77^o} = \frac{307}{\sin 78^o}\) and computing for |YZ|,
|YZ| = \(\frac{307 \times 0.5986}{0.9781}\) = 187.88m
and Therefore, the distance between Y and Z \(\approx\) 188 m correct to the nearest whole number
Source: Myschool Past Questions Archive (Record #56410)
Mathematics
WAEC / WASSCE 2018
Inequalities & Linear Programming
(a) Using a scale of 2cm to 2units on both axes, draw on a sheet of graph paper two perpendicular axes 0x and 0y for - 10 \(\leq\) x \(\leq\) 10 and -10 \(\leq\) y \(\leq\)10
(b) Given the points P(3, 2). Q(-1. 5). R(0. 8) and S(3, 7). draw on the same graph, indicating clearly the vertices and their coordinates, the:
(i) quadrilateral PQRS;
(ii) image P\(_1\)Q\(_1\)R\(_1\)S\(_1\) of PQRS under an anticlockwise rotation of 90\(^o\) about the origin where P \(\to\) P\(_1\), Q \(\to\) \(Q_1\), R \(\to\) \(R_1\) and S \(\to\) \(S_1\)
(iii) image P\(_2\)Q\(_2\)R\(_2\)S\(_2\) of P\(_1\)Q\(_1\)R\(_1\)S\(_1\) under a reflection in the line y - x = 0 where P\(_1\) \(\to\) P\(_2\), Q\(_1\) \(\to\) \(Q_2\), R\(_1\) \(\to\) \(R_2\) and S\(_1\) \(\to\) \(S_2\)
(c) Describe precisely the single transformation T for which T : PQRS \(\to\) P\(_2\)Q\(_2\)R\(_2\)S\(_2\)
(d) The side P\(_1\)Q\(_1\) of the quadrilateral P\(_1\)Q\(_1\)R\(_1\)S\(_1\) cuts the x-axis at the point W. What type of quadrilateral is P\(_1\)S\(_1\)R\(_1\)W?
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
No expanded working has been attached for this question yet. The verified answer is Option .
Source: Myschool Past Questions Archive (Record #56419)
Biology
UTME / JAMB 2018
Cell & Its Environment (Diffusion, Osmosis & Transport)
Red blood cells were found to have burst open after being placed in distill for an hour. This phenomenon is known as
A
plasmolysis
B
diffusion
C
haemolysis
D
wilting
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option C.
Source: Official Exam / Past Question Archive
Biology
UTME / JAMB 2018
Nutrition in Plants & Animals (Photosynthesis & Food Substances)
Solution
A beaker of pond water containing few specimens of Euglena was placed in a dark room for two weeks. At the end of this period, the specimens of Euglena were still alive because they were
A
able to carry out holozoic nutrition
B
able to carry out photosynthesis using carbon dioxide in the pond water
C
better adapted to life in darkness than to life in light
D
not overcrowded
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
Euglena can survive in a dark room for a long time because it has the ability to switch from photosynthetic (using light) to heterotrophic or holozoic nutrition (absorbing nutrients from the surrounding environment) when deprived of light; essentially acting like a tiny animal by consuming organic matter in the water, allowing it to continue living even without photosynthesis through its chloroplasts.
Source: Official Exam / Past Question Archive
Biology
WAEC / WASSCE 2018
Variety of Organisms & Classification of Living Things
. Study specimens A and B and answer questions 1(a) to 1(c).
(a)(i) Name the habitat of each of specimens A and B. (ii) Name the adult stages into which each of specimens A and B would develop.
(iii) Name the phylum and class common to the adult stages into which each of specimens A and B.
(b) State three observable features of biological significance in: (i) specimen A (ii) specimens B.
(c)(i) State four observable structural differences between specimens A and B.
(ii) State three observable similarities between specimens A and B.
2. Study specimens C, D and E and answer questions 2(a) to 2(c).
(a)(i) Name the organism from which each of specimens C, D and E are obtained.
(ii) State the function common to specimens C, D and E.
(iii) State three observable features which adapts specimen C to its function.
(b)(i) State three observable structural similarities between specimens C and D.
(ii) State three observable structural differences between specimens C and D.
(c) Make a drawing 6cm - 8cm long of specimen C and label fully.
(3) Study specimens K and L and answer questions 3(a) to 3(c).
(a)(i) Name the floral parts of specimen K. (ii) Indicate the number of the floral parts in each whorl of specimen K.
(b)(i) Name the sex of specimen K. (ii) Give one reason for your answer in 3(b)(i).
(c)(i) What is the symmetry of specimen K?. (ii) Give one reason for your answer in 3(c)(i).
(d) Name one pollinating agent of each of specimens K and L.
(e) State four observable structural differences between specimens K and L.
(f) Make a drawing 8cm - 10cm long of specimen K and label fully.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option .
Source: Official Exam / Past Question Archive
Biology
WAEC / WASSCE 2018
Respiration & Gaseous Exchange
Solution
(a) State two roles each of the following compounds in respiration:
(i) glucose;
(ii) oxygen.
(b) List two types of cellular respiration
(c) Name the structures of gaseous exchange in the following organisms:
S/N
ORGANISM
STRUCTURE OF GASEOUS EXCHANGE
1
Ameoba
2
Tilapia
3
Adult Toad
4
Grasshopper
(d) Make a diagram, 6 cm to 8 cm long of an open stoma in a leaf and label fully.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) Roles of the following compounds in respiration
(i) Glucose
Is broken down to give energy/ (ATP); carbon dioxide; and water is given off.
(ii) Oxygen
Oxidizes/ breaks down/ burns; the glucose, releasing energy completely.
(b) Types of cellular respiration
Aerobic; Anaerobic
(c) Structures of gaseous exchange
S/No.
Organism
Structures of gaseous exchange
i.
Amoeba
Cell membrane/ entire body surface
ii.
Tilapia
Gills
iii.
Adult toad
Lungs, skin, buccal cavity
iv.
Grasshopper
Trachea/tracheole
(d) Diagram of an open stoma in leaf
Source: Myschool Past Questions Archive (Record #56226)
Biology
WAEC / WASSCE 2018
Nutrition in Plants & Animals (Photosynthesis & Food Substances)
Solution
(a)Describe briefly the process involved in the conversion of food to chyme in the stomach of a mammal.
(b)Complete the table below by stating one enzyme, digestive juice, food acted upon and
end-product in the corresponding spaces.
One Enzyme
One juice
One food acted upon
One end-product
Pepsin
(i) -----------
Lipase
(ii)---------------
(iii)---------------
(iv)---------------
(v) --------------------
(vi) -------------------
(vii) -------------------
(viii)-------------------
Maltose
(ix)-----------------------
(c) Describe an experiment to show that carbon dioxide is necessary for photosynthesis.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) Process of conversion of food to chyme in the stomach of a mammal
The stomach is a large thick-walled muscular sac; made of three layers of muscles; that contracts in different directions when food enters into it; bringing about a twisting/squeezing/churning effect; enabling food to mix with digestive juice; and HCL; this movement then converts food to the semi-liquid called chyme.
(b) Table
Enzyme
Juice
Food acted upon
end product
Pepsin
ii. Gastric
v. Protein
viii. Peptone/ polypeptide
Ptyalin/ amylase
iii. Saliva/pancreatic juice
vi. Cooked starch/carbohydrate
Maltose
Lipase
iv. Intestinal/Pancreatic juice
vii. Fats and Oil
ix. Fatty acid and glycerol
(c) Experiment to show that carbon dioxide is necessary for photosynthesis
Two potted plants are de-starched by placing them in a dark cupboard for 24hours;
a leaf each from both plants are then tested for starch to ensure they have no starch/have been de-starched; the potted plants are placed on a board each; a beaker containing caustic soda is placed beside plant A; to absorb carbon dioxide; while a beaker containing water is placed beside plant B as control; they are both covered with bell jars labelled A and B respectively; the rim/edge is smeared with vaseline/petroleum jelly to make it air tight; the setup is exposed to sunlight/light for 4-6 hours; a leaf each from both plants are plucked and tested for starch.
Observation: It is observed that leaf from plant A is negative/does not contain starch/remains brown in colour while leaf from plant B is positive/contains starch/turns blue - black.
Conclusion: Carbon dioxide is necessary for photosynthesis.
OR
De-starch a well-watered potted plant by putting it in darkness for 48 hours; insert a leaf into a flask containing water which serves as a control experiment; and another leaf into another flask containing KOH/ potassium hydroxide/ caustic potash; ensure both flasks are air tight by smearing the split corks with Vaseline; leave the potted plant in a well-lit place for 6 to 9 hours; detach the leaves and test them for starch.
Observation: It is observed that the leaf in the flask containing caustic potash contains no starch while the leaf in the controlled experiment contained starch.
Conclusion: Carbon dioxide is necessary for photosynthesis.
Source: Myschool Past Questions Archive (Record #56228)
Biology
WAEC / WASSCE 2018
Basic Ecological Concepts, Ecosystems & Biomes
Solution
(a) Explain briefly the following terms:
ecosystem;
abiotic environment.
(b) List three ecological factors each which are specific to:
aquatic habitats;
terrestrial habitats.
(c) State briefly the relationship between green grass and a rabbit in a given habitat.
(d) Draw a typical pyramid of energy using four feeding levels.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) (i) Ecosystem:
Is a natural unit consisting/made up of living/biotic/organism and non-living/abiotic elements/factors; interacting to produce a stable system.
(ii) Abiotic environment:
The non-living components of the ecosystem; such as light/pH/water/oxygen/wind/temperature etc.
(b) Ecological factors that are specific to:
(i) Aquatic habitat
Salinity; turbidity; tidal movement; dissolved gases; density; substratum; water current.
(ii) Terrestrial habitat
Humidity; soil; topography; wind; altitude; availability of water.
(c) The relationship between grass and rabbit in a given habitat
Grass (green plants) can photosynthesize/ manufacture its food;
Rabbit which cannot manufacture its food feeds on grass;
During respiratory process, rabbit gives out carbon dioxide as a waste product;
Grass makes use of the carbon dioxide to manufacture its food;
Grass during photosynthesis gives out oxygen as a by-product which the rabbit uses for respiration;
When a rabbit defecates/ dies, bacteria/fungi cause its decay, which forms manure that is absorbed as soil nutrients by grass.
(d) Pyramid of energy
Source: Myschool Past Questions Archive (Record #56229)
Biology
WAEC / WASSCE 2018
Variation & Genetics (Heredity)
Solution
(a)(i) State Mendel’s laws of inheritance.
(ii) State five applications of genetics in medicine.
(iii) State three disadvantages of inbreeding.
(b)(i) What is evolution?
(ii) Distinguish between convergent evolution and divergent evolution.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) (i) Mendel’s laws of inheritance
First law/law of segregation
States that a pair of alleles/genes of contrasting character; segregates during gamete formation so that only one allele/gene enters a single gamete.
Second law/law of independent assortment
States that of a pair of alleles/genes of contrasting character; segregates independently; and combines randomly/distribute itself; with either of another pair of alleles/ genes.
(ii) Applications of genetics in medicine
Screening blood for transfusion;
Determining paternity/ parentage;
Marriage counseling for genetic disorders;
Production of certain drugs/insulin;
Sex selection in babies;
Cloning of cells;
Test-tube babies/ in-vitro fertilization;
Organ transplant.
Analysis of blood in crime detection.
(iii) Disadvantages of inbreeding
Loss of reproductive vigor/potency;
Susceptibility to disease;
Limited gene pool/lack of varieties;
Inability to withstand environmental changes;
Replication /retention of undesirable traits.
(b) (i) Evolution
The process of development of complex organisms; from simple forms; over a long period of time; and results in the origin of new species.
(ii) Convergent and divergent evolution
Convergent evolution produces similar structures in organisms; that have evolved from different unrelated ancestors; while divergent evolution produces modification of structures in organisms that have evolved from a common ancestor; due to adaptation to environmental changes.
Source: Myschool Past Questions Archive (Record #56230)
Biology
WAEC / WASSCE 2018
Digestive System & Feeding Mechanisms
Solution
Diagrams A, B and C are illustrations of different types of teeth in humans. Diagram D is a representation of the arrangement of teeth in the lower jaw of a human.
Study them and answer questions (a) to (f).
(a) (i) Name the type of teeth in diagrams A, B, and C.
(ii) Which of the teeth would be found in positions I, II and IV?
(iii)State one function each of the teeth illustrated in diagrams A, B and C.
(iv) State one reason each for the answers in (a) (iii).
(b)If the tooth labeled B is decayed, list two factors that may be responsible.
(c)What is the total number of each of the teeth labeled A, B and C in the dentition of an adult human?
(d)Which of the teeth would be absent in a rabbit?
(e)(i) Name the tooth that would be found in position III of diagram D.
(ii) In which of the parts labeled I, II, III and IV would a tooth not be found in an infant?
(f) State five ways of caring for the teeth in humans.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) (i) Name of teeth
A: Canine
B: Molar
C: Incisor
(ii) Teeth found in position I, II and IV
I – Incisor
II – Canine
IV – Molar
(iii) Functions of each of the teeth
A - Canine: For tearing flesh/ piercing.
B - Molar: For breaking/ crushing/ chewing/ grinding.
C - Incisor: For cutting/biting
(iv) Reason for the answer
A - Canine: It is conical/ sharp / pointed.
B - Molar: It is broad with ridges/ cusps on surface.
C - Incisor: It has (flat) sharp/ chisel-shaped edge.
(b) Factors responsible for tooth decay
Acid accumulation.
Bacterial/microbial/fungal activity.
Food remnants/sweet/sugary/sticky foods.
Improper use of teeth can lead to cracks e.g. cracking hard bones with teeth, opening bottle tops with teeth.
Lack of proper care of teeth/ unhygienic dental practices.
Lack of fluoride/ vitamins/ minerals (in food).
(c) Total number of teeth
A/Canine: 4
B/Molar: 12
C/Incisor: 8
(d) The tooth that is absent in a rabbit
A/Canine
(e) (i) Name of tooth in III of diagram D
Premolar
(ii) Teeth absent in an infant
Molar/IV
(f) Care of the teeth in humans
Brushing the teeth regularly/after meals/before going to bed;
Avoiding smoking and excessive alcohol;
Eating vitamins and mineral-rich foods regularly (fruits);
Reducing the intake of sweet/sticky/sugary foods (that may allow bacterial growth);
Visiting the dentist at least twice a year/every six months;
Removing food particles from teeth using tooth pick;
Washing/ flossing teeth with germicide solution e.g. hydrogen peroxide;
Avoiding hard objects that may break the teeth, /e.g., removal of cork/bottle tops/cracking large bones.
Scraping the plaque on teeth with appropriate material/ tool/ scrapper.
Source: Myschool Past Questions Archive (Record #56467)
Biology
WAEC / WASSCE 2018
Basic Ecological Concepts, Ecosystems & Biomes
Solution
(a) State five processes involved in the water cycle.
(b) Name one instrument used for measuring each of the following physical factors:
pH;
light intensity;
turbidity;
temperature.
(c) Explain briefly the contributions of the following scientists to the formulation of the cell theory:
Robert Hooke;
Theodore Schwann.
(d) What is meant by each of the following terms:
Nastism
Taxism
(e) Make a diagram, 6 cm – 8 cm long of the human tongue illustrating the four areas of taste.
(f)(i) List four ways through which microorganisms enter the human body.
(ii) State three harmful effects of microorganisms to humans.
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
(a) Processes involved in water cycle
Respiration by plants/animals;
Transpiration;
Surface run-off/erosion;
Excretion by plants/animals;
Decay of plants/animals;
Precipitation /rainfall;
Condensation of water vapor/ cloud;
Absorption of water by root hairs;
Evaporation;
Percolation;
Perspiration/ sweating;
(b) Instruments for measuring the following physical factors
pH – pH meter/pH paper/ colorimeter;
Light intensity – light meter/photometer;
Turbidity – Secchi disc;
Temperature –thermometer.
(c) Contributions to cell theory
(i) Robert Hooke: He discovered the cell; while using a microscope to examine the cork from a tree bark; he observed honeycomb structures/dead cell walls surrounding empty holes; which he called ‘cells’.
(ii) Theodore Schwann: Examined bits of different animals under the microscope; and observed that all animals are composed of cells.
(d) (i) Nastism
Refers to the non-directional response of plant organs/part of a fixed plant to external /non-directional or diffused stimuli/touch/temperature/humidity/( e.g. leaves of Mimosa plant folding up when touched); it is not a growth movement; it is reversible (e.g. 4-0-clock flower).
(ii) Taxism
It is not a growth movement; directional response of motile/whole organisms; towards / away from to an external stimulus/ light/ chemicals/ temperature; (e.g. Euglena swimming away from chemicals; Euglena swimming towards light, etc.)
(e) Diagram of the human tongue showing areas of taste
(f) (i) Ways through which microbes enter the human body
Through some parts of the body/Mouth; mucous membranes/mucosa; anus; skin; birth canal /vagina; nose;
Insect bite;
Blood contact;
Direct contact with infected person/animal;
Body secretions/semen/saliva/sweat/vaginal fluids/tears/mucus;
Food;
Water;
Inhalation/aerosol.
(ii) Harmful effects of microbes to humans
Causes various diseases in humans;
Involved in spoilage of food;
Causes death of humans;
Destruction of materials/wood/cotton/leather/paper/any correctly named example.
Source: Myschool Past Questions Archive (Record #56233)
Biology
WAEC / WASSCE 2018
Variety of Organisms & Classification of Living Things
Diagram
(a)(i) Identify organisms A and B. [2 marks]
(ii) Name the parts labeled I to X. [5 marks]
(b) State one function each of the parts labeled VI, VIII, IX and X. [4 marks]
(c) Name the specific habitats of organisms A and B. [2 marks]
(d) State three structural adaptations of organism A to its mode of life. [6 marks]
(e)(i)State three structural similarities between organisms A and B [3 marks]
(ii) State three structural differences between organisms A and B. [3 marks]
(f)(i) Name the class of organisms A and B. [1 marks]
(ii) State three reasons for the answer in 3 (f) (i). [3 marks]
(g)State one biological importance of organism A. [1 marks]
Attached Figure / Diagram
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option .
Source: Myschool Past Questions Archive (Record #56366)