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 2251–2265 of 13612 verified questions
Sort by:
Mathematics
WAEC / WASSCE 2020
Geometry and Trigonometry
Diagram
Solution
(a) In the diagram, AB is a tangent to the circle with centre O, and COB is a straight line. If CD//AB and < ABE = 40^\circ, find: < ODE.
(b) ABCD is a parallelogram in which |\(\overline{CD}\)| = 7 cm, I\(\overline{AD}\)I = 5 cm and < ADC= 125^\circ.
(i) Illustrate the information in a diagram.
(ii) Find, correct to one decimal place, the area of the parallelogram.
(c) If x = \(\frac{1}{2}\)(1 - \(\sqrt{2}\)). Evaluate (2x\(^2\) - 2x).
Attached Figure / Diagram
medium Difficulty
Verified Correct Answer: Option
Step-by-Step Mathematical Solution
< AOB = 108\(^o\) - (90\(^o\) + 40\(^o\))
= 180\(^o\) - 130\(^o\) = 50\(^o\)
< DCO = 40\(^o\) (Alternate angle)
< ODE = \(\frac{180^o - 80^o}{2}\) = \(\frac{100^o}{2}\)
= 50\(^o\)
(b)(i)
(b)(ii) Area of the parallelogram
= ab sin \(\theta\)
= 5cm x 7cm sin 125\(^3\)
= 35 sin 125
= 28.7cm\(^2\)
(c)
x = \(\frac{1}{2}(1 - \sqrt{2})\)
evaluate (2x\(^2\) - 2x)
= 2[\(\frac{1}{2}(1 - \sqrt{2})^2\)] - 2[\(\frac{1}{2} (1 - \sqrt{2}\))]
= 2[\(\frac{1}{4}(1 - 2\sqrt{2} + 2)\)] - 1 + \(\sqrt{2}\)
= 2[\(\frac{1}{4}(3 - 2\sqrt{2})\) - 1 + \(\sqrt{2}\)]
2[\(\frac{3}{4} - \frac{1}{2} \sqrt{2} - 1 + \sqrt{2}\)]
= \(\frac{3}{2} - \sqrt{2} - 2 + 2\sqrt{2}\)
= \(\frac{1}{2} + \sqrt{2}\)
Source: Myschool Past Questions Archive (Record #58717)
Biology
WAEC / WASSCE 2020
Science of Living Things
Solution
Study Specimens P, Q and R and answer questions 4(a) to 4(d).
(a) Use the information below to complete the following table. (i) Add two drops of specimen P into a beaker containing water, leave it undisturbed and note the time it completely disperses in water. (ii) Add a leveled teaspoonful of specimen Q into another beaker containing water, stir for one second and note the time it takes to completely dissolve. (iii) Cut open specimen R and note the time the odor was perceived. (iv) Give the medium of spread for each of the tests in 4(a)(i) to 4(a) i).
(v) Name the sense organ in humans involved in each of the observations in 4(a)(i) to 4(a)(iii).
specimen
Test
Observation time(sec)
Medium of spread
sense organ
(b) Name the biological phenomenon that occurred in 4(a)(iii).
(c) State two factors each that will increase the rate of the phenomenon named in 4(b) for each of the activities in 4(a)(i). (ii) and (iii)
(i) _____________ (ii) _____________ (iii) _____________
(d) Gently place your thumb on the inked stamp pad provided. (i) Neatly thumbprint clearly showing the pattern in the box below.
(ii) Name the type of pattern in the fingerprint in 4(e)(i).
(iii) List three other types of fingerprints. (iv) State three advantages of fingerprints.
(v) What type of variation is fingerprint?
medium Difficulty
Verified Correct Answer: Option
Biological Concept & Syllabus Guide
specimen
Test
Observation time(sec)
Medium of spread
sense organ
p
2 drops of specimen p
+ water
5 - 10
liquid / water
Eye(s)
Q
Leveled teaspoonful of
specimen Q + water
300 - 1800
liquid / water
Eye(s)
R
Specimen R was cut open
0.1 - 2
Gas / Air
Nose
(b) (b) Biological Phenomenon that Occurred: Diffusion.
(c) Factors that will Increase the Rate of Phenomenon for each Activities:
(i)-Decreased concentration of the potassium permanganate: -Shaking/stirring/agitating: -Increased.temperature/heat.
(ii)-Grinding/increasing the surface area of Specimen Q to reduce the molecular/grain size;
-Decreased quantity of Specimen Q; Shaking/stirring/agitating;-Increased temperature/heat.
(iii) -Increased air current/breeze/fan; Increased quantity of specimen R;-increased temperature/heat.
Other types of fingerprints:-Whorl Loop;-Arch, Contour,- etc. (any other three types different from the One or the thumbprint).
(V) Advantages ot Fingerprints: or crime detectton.securing documents.-Highly accurate/secure.-Unique/non-transferrable.
-identification,-Data base.-Genetic engineering.
Most economical technique/cost effective.Easy to use/ease of use.
-Use ot smalt storage space/little storage space needed.-Provides accountability (biometric proof to show person was there when an event occurred).
(V) Type of Variation: Discontinuous/Morphological.
Source: Official Exam / Past Question Archive
Biology
WAEC / WASSCE 2020
Science of Living Things
The cell as the basic unit of life consists of
A
cell wall and vacuole
B
nucleus and cell wall
C
cytoplasm and nucleus
D
cytoplasm and vacuole
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: Myschool Past Questions Archive (Record #59442)
Biology
WAEC / WASSCE 2020
Science of Living Things
Use the following Classes of Arthropoda to answer the question below
I. Crustacea II. Insecta III. Arachinda IV. Chilopoda
Which members of the classes live mainly in an aquatic habitat?
A
I
B
II
C
III
D
IV
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #59444)
Biology
WAEC / WASSCE 2020
Science of Living Things
Use the following Classes of Arthropoda to answer the question below
I. Crustacea II. Insecta III. Arachinda IV. Chilopoda
Which of the classes is characterised by the possession of two pairs of antennae?
A
I
B
II
C
III
D
IV
medium Difficulty
Verified Correct Answer: Option A
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option A.
Source: Myschool Past Questions Archive (Record #59445)
Biology
WAEC / WASSCE 2020
Science of Living Things
Solution
The organism with spiral chloroplasts and nucleus suspended by cytoplasmic strands is
A
Volvox
B
Spirogyra
C
Paramecium
D
Euglena
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
Spirogyra is a filamentous charophyte green alga of the order Zygnematales, named for the helical or spiral arrangement of the chloroplasts that is characteristic of the genus.
Source: Myschool Past Questions Archive (Record #59448)
Biology
WAEC / WASSCE 2020
Science of Living Things
The network of double membrane that conveys materials through the cytoplasm is the
A
plasma membrane
B
nuclear membrane
C
mitochondrion
D
endoplasmic reticulum
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #59450)
Biology
WAEC / WASSCE 2020
Science of Living Things
Diagram
Solution
The diagram above is an illustration of the longitudinal section of a plant organ. Study to answer the question below.
Food is stored in the part labeled
 -->
<div class=)
Attached Figure / Diagram
A
I
B
II
C
III
D
IV
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
- An onion bulb is a type of plant storage organ.
- The bulbs are composed of shortened, compressed, underground stems surrounded by fleshy modified scale (leaves) that envelop a central bud at the tip of the stem.
Source: Myschool Past Questions Archive (Record #59452)
Biology
WAEC / WASSCE 2020
Science of Living Things
Diagram
Solution
The diagram above is an illustration of the longitudinal section of a plant organ. Study it and answer the question below;
The plant is a?
Attached Figure / Diagram
A
stem tuber
B
bulb
C
stolon
D
runner
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
an onion is a bulb because it has a reduced stem and thick fleshy leaves
Source: Myschool Past Questions Archive (Record #59453)
Biology
WAEC / WASSCE 2020
Science of Living Things
Diagram
Solution
The diagram above is an illustration of an experimental setup. Study it and answer the question below;
The setup can measure comparatively the rate of
Attached Figure / Diagram
A
evaporation from leaves on a single shoot under different experimental conditions
B
salt uptake by shoots from different plants
C
transpiration of a single shoot of a plant under different experimental conditions
D
water uptake by roots of different plants
medium Difficulty
Verified Correct Answer: Option C
Biological Concept & Syllabus Guide
The set-up can measure comparatively the rate of transpiration of a single shoot of a plant under different experimental conditions. Transpiration is the process of water movement through a plant and its evaporation from aerial parts, primarily from the leaves. In the illustration, the plant shoot is enclosed in a container, and the amount of water lost from the shoot is measured. By changing the experimental conditions, such as the temperature or humidity, and measuring the transpiration rate under each set of conditions, the set-up can be used to compare the rates of transpiration under different conditions for a single shoot of a plant.
Source: Myschool Past Questions Archive (Record #59478)
Biology
WAEC / WASSCE 2020
Science of Living Things
The respiratory organ of a cockroach
A
air sac
B
trachea
C
lung book
D
lung
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option B.
Source: Myschool Past Questions Archive (Record #59487)
Biology
WAEC / WASSCE 2020
Science of Living Things
The excretory product of some reptiles, birds and insects is
A
urea
B
urine
C
ammonia
D
uric acid
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #59488)
Biology
WAEC / WASSCE 2020
Science of Living Things
Solution
The part of the mammalian kidney that stores urine is the
A
capsule
B
medulla
C
pelvis
D
bladder
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
The bladder functions as a reservoir and active excretory organ for the urine. Urine excreted by the kidneys passes through the ureters and the ureterovesical junction into the bladder. However, the urine collects in the renal pelvis, which drains into the ureter . Then, the urine moves into the ureter for storage in the urinary bladder. Thus, option D is the best answer.
Source: Myschool Past Questions Archive (Record #59489)
Biology
WAEC / WASSCE 2020
Science of Living Things
The properties of endocrine system include the following except
A
secretion of hormones
B
transportation by blood to target organ
C
having specific effect
D
release of secretion into ducts
medium Difficulty
Verified Correct Answer: Option D
Biological Concept & Syllabus Guide
No expanded working has been attached for this question yet. The verified answer is Option D.
Source: Myschool Past Questions Archive (Record #59490)
Biology
WAEC / WASSCE 2020
Science of Living Things
Diagram
Solution
The diagram below is an illustration of the longitudinal section of a plant organ. Study it and answer the question below;
The part labeled i is the
Attached Figure / Diagram
A
apical bud
B
scale leaf
C
adventitious root
D
fleshy leaf
medium Difficulty
Verified Correct Answer: Option B
Biological Concept & Syllabus Guide
The scales of the onion bulb are actually modified leaves that provide protection from water loss
Source: Myschool Past Questions Archive (Record #59454)