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Question 1 Rapport
With the aid of diagrams, describe the mode of formation of the following features: (a) stack; (b) fold mountalin.
(a) Formation of a stack
A stack is a pillar or column of rock standing in the sea, detached from the coast. It is formed by marine (wave) erosion of a headland:
Diagram should show, in stages: headland with cave, arch, and finally the detached stack.
(b) Formation of a fold mountain
Fold mountains are formed by the folding of sedimentary rocks under compression:
Diagram should show folded strata with labelled anticlines (upfolds) and synclines (downfolds).
Détails de la réponse
(a) Formation of a stack
A stack is a pillar or column of rock standing in the sea, detached from the coast. It is formed by marine (wave) erosion of a headland:
Diagram should show, in stages: headland with cave, arch, and finally the detached stack.
(b) Formation of a fold mountain
Fold mountains are formed by the folding of sedimentary rocks under compression:
Diagram should show folded strata with labelled anticlines (upfolds) and synclines (downfolds).
Question 2 Rapport
The Table X above shows the number of farm units in three villages of Oju District in the year 2010. Use the data in Table X to answer the questions that follow.
(a) Using the map of Oju District provided on page 3 and radius of 1 cm to represent 3 farm units, Construct proportional circles to represent the data. (b) State two disadvantages of proportional circles.
Data read from Table X
| Village | Number of farm units |
|---|---|
| A | 81 |
| B | 100 |
| C | 64 |
(a) Constructing the proportional circles
In a proportional circle the area of the circle (not the radius) is made proportional to the quantity it represents. Since the area of a circle is \( A = \pi r^{2} \), the area is proportional to \( r^{2} \). Therefore, to make the area proportional to the number of farm units \( N \), the radius must be proportional to the square root of \( N \):
\[ A \propto N \quad\Rightarrow\quad \pi r^{2} \propto N \quad\Rightarrow\quad r \propto \sqrt{N} \]
Applying the given scale. The scale states that a radius of \(1\ \text{cm}\) represents \(3\) farm units. Taking the reference circle of radius \(1\ \text{cm}\) to stand for \(3\) farm units by its area, the area per farm unit is fixed, so:
\[ \pi r^{2} = \frac{N}{3}\,\pi \quad\Rightarrow\quad r = \sqrt{\frac{N}{3}} \ \text{cm} \]
Working for each village:
Notice that because the given values are perfect squares, the radii keep the neat ratio \( \sqrt{81}:\sqrt{100}:\sqrt{64} = 9:10:8 \), so village B has the largest circle, village A the middle one and village C the smallest.
Table of radii for drawing:
| Village | Farm units (N) | \( \sqrt{N} \) | Radius \( r=\sqrt{N/3} \) (cm) |
|---|---|---|---|
| A | 81 | 9 | 5.2 |
| B | 100 | 10 | 5.8 |
| C | 64 | 8 | 4.6 |
Steps to construct on the map of Oju District:
(b) Two disadvantages of proportional circles
Détails de la réponse
Data read from Table X
| Village | Number of farm units |
|---|---|
| A | 81 |
| B | 100 |
| C | 64 |
(a) Constructing the proportional circles
In a proportional circle the area of the circle (not the radius) is made proportional to the quantity it represents. Since the area of a circle is \( A = \pi r^{2} \), the area is proportional to \( r^{2} \). Therefore, to make the area proportional to the number of farm units \( N \), the radius must be proportional to the square root of \( N \):
\[ A \propto N \quad\Rightarrow\quad \pi r^{2} \propto N \quad\Rightarrow\quad r \propto \sqrt{N} \]
Applying the given scale. The scale states that a radius of \(1\ \text{cm}\) represents \(3\) farm units. Taking the reference circle of radius \(1\ \text{cm}\) to stand for \(3\) farm units by its area, the area per farm unit is fixed, so:
\[ \pi r^{2} = \frac{N}{3}\,\pi \quad\Rightarrow\quad r = \sqrt{\frac{N}{3}} \ \text{cm} \]
Working for each village:
Notice that because the given values are perfect squares, the radii keep the neat ratio \( \sqrt{81}:\sqrt{100}:\sqrt{64} = 9:10:8 \), so village B has the largest circle, village A the middle one and village C the smallest.
Table of radii for drawing:
| Village | Farm units (N) | \( \sqrt{N} \) | Radius \( r=\sqrt{N/3} \) (cm) |
|---|---|---|---|
| A | 81 | 9 | 5.2 |
| B | 100 | 10 | 5.8 |
| C | 64 | 8 | 4.6 |
Steps to construct on the map of Oju District:
(b) Two disadvantages of proportional circles
Question 3 Rapport
Describe chemically formed sedimentary rocks under the following headings: (a) mode of formation; (b) three examples; (c) four importance.
Chemically formed sedimentary rocks
(a) Mode of formation
Chemically formed sedimentary rocks are produced from minerals that were dissolved in water. When water containing these dissolved minerals evaporates, or when the water becomes over-saturated, the minerals are precipitated (deposited) out of solution. The precipitated material accumulates and, over time, is compacted and cemented to form solid rock. This process commonly takes place in seas, salt lakes, lagoons and hot springs where evaporation is high, and in limestone caves where deposition forms stalactites and stalagmites.
(b) Three examples
(c) Four importance (uses)
Détails de la réponse
Chemically formed sedimentary rocks
(a) Mode of formation
Chemically formed sedimentary rocks are produced from minerals that were dissolved in water. When water containing these dissolved minerals evaporates, or when the water becomes over-saturated, the minerals are precipitated (deposited) out of solution. The precipitated material accumulates and, over time, is compacted and cemented to form solid rock. This process commonly takes place in seas, salt lakes, lagoons and hot springs where evaporation is high, and in limestone caves where deposition forms stalactites and stalagmites.
(b) Three examples
(c) Four importance (uses)
Question 4 Rapport
(a) What is a lake? (b) Describe the formation of lakes by wind erosion. (c) identify three benefits of lakes to man.
(a) What is a lake?
A lake is a body of water, usually fresh but sometimes salty, that occupies a hollow or depression in the surface of the land and is completely surrounded by land. It is inland and standing (still) water.
(b) Formation of lakes by wind erosion (deflation)
In hot desert regions, strong winds pick up and blow away loose, dry sand and dust from the surface in a process called deflation. Where the wind removes the loose materials continuously from a soft or unconsolidated area, it scoops out a shallow, rounded depression called a deflation hollow. Wind erosion may continue downward until the floor of the hollow reaches the level of the underground water table. Water then seeps into the hollow, or rain water collects in it, forming a small lake known as a deflation-hollow lake or oasis. Such lakes are common in desert basins.
(c) Three benefits of lakes to man
Détails de la réponse
(a) What is a lake?
A lake is a body of water, usually fresh but sometimes salty, that occupies a hollow or depression in the surface of the land and is completely surrounded by land. It is inland and standing (still) water.
(b) Formation of lakes by wind erosion (deflation)
In hot desert regions, strong winds pick up and blow away loose, dry sand and dust from the surface in a process called deflation. Where the wind removes the loose materials continuously from a soft or unconsolidated area, it scoops out a shallow, rounded depression called a deflation hollow. Wind erosion may continue downward until the floor of the hollow reaches the level of the underground water table. Water then seeps into the hollow, or rain water collects in it, forming a small lake known as a deflation-hollow lake or oasis. Such lakes are common in desert basins.
(c) Three benefits of lakes to man
Question 5 Rapport
(a) Highlight four characteristics each of the following: (i) Time Zone (ii) International Dateline.
(b) lf two towns A and B are located on different time zones and the time ini town Ais 9.00am while the time in town B is 6.00pm the same day, calculate the longitude of town B if the longitude of town A is 30° W.
(a) Four characteristics each
(i) Time Zone
(ii) International Date Line
(b) Calculation of the longitude of town B
Time in A = 9.00 a.m.; time in B = 6.00 p.m. same day. B is ahead of A, so B lies to the east of A.
Time difference \(= 6.00\text{ p.m.} - 9.00\text{ a.m.} = 9\) hours.
Longitude difference \(= 9 \times 15^\circ = 135^\circ\).
Since B is east of A and A is at \(30^\circ\)W:
\[\text{Longitude of B} = 135^\circ - 30^\circ = 105^\circ\text{E}\](Starting from \(30^\circ\)W and moving \(30^\circ\) east reaches the \(0^\circ\) meridian, leaving \(105^\circ\) to be counted eastward.)
The longitude of town B is \(105^\circ\)E.
Détails de la réponse
(a) Four characteristics each
(i) Time Zone
(ii) International Date Line
(b) Calculation of the longitude of town B
Time in A = 9.00 a.m.; time in B = 6.00 p.m. same day. B is ahead of A, so B lies to the east of A.
Time difference \(= 6.00\text{ p.m.} - 9.00\text{ a.m.} = 9\) hours.
Longitude difference \(= 9 \times 15^\circ = 135^\circ\).
Since B is east of A and A is at \(30^\circ\)W:
\[\text{Longitude of B} = 135^\circ - 30^\circ = 105^\circ\text{E}\](Starting from \(30^\circ\)W and moving \(30^\circ\) east reaches the \(0^\circ\) meridian, leaving \(105^\circ\) to be counted eastward.)
The longitude of town B is \(105^\circ\)E.
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