Showing posts with label 2024. Show all posts
Showing posts with label 2024. Show all posts

9th Standard Science Half Yearly Exam 2024 Tirunelveli District Answer Key

TVL9S - Tirunelveli District
Common Half Yearly Examination - 2024
Standard 9 - SCIENCE
Time: 3.00 Hours | Marks: 75

I. Choose the correct answer. Write it with the option. (12x1=12)

1) Rulers, measuring tapes and metre scales are used to measure.
  • a) mass
  • b) weight
  • c) time
  • d) length
Answer d) length
2) Clouds float atmosphere because of their low
  • a) density
  • b) pressure
  • c) velocity
  • d) mass
Answer a) density
3) Electroplating is an example for
  • a) heating effect
  • b) Chemical effect
  • c) Flowing effect
  • d) magnetic effect
Answer b) Chemical effect
4) Transformer works on
  • a) AC only
  • b) DC only
  • c) both AC and DC
Answer a) AC only
5) ............. has the same properties throughout the sample
  • a) Pure substance
  • b) mixture
  • c) colloid
  • d) suspension
Answer a) Pure substance
6) The term nucleons refer to .............
  • a) Protons and electrons
  • b) only neutrons
  • c) electrons and neutrons
  • d) Protons and neutrons
Answer d) Protons and neutrons
7) Example for liquid metal is .............
  • a) Sodium
  • b) Mercury
  • c) Potassium
  • d) Oxygen
Answer b) Mercury
8) Acid turn blue litmus paper to .............
  • a) green
  • b) orange
  • c) red
  • d) yellow
Answer c) red
9) Poliomyelitis virus enters the body through .............
  • a) skin
  • b) mouth and nose
  • c) ears
  • d) eye
Answer b) mouth and nose
10) Food and Adulteration Act was enforced by Government of India in the year .............
  • a) 1964
  • b) 1954
  • c) 1950
  • d) 1963
Answer b) 1954
11) The structural and functional unit of the kidney is .............
  • a) villi
  • b) liver
  • c) nephron
  • d) ureter
Answer c) nephron
12) Excretory organ of tape worm is .............
  • a) flame cells
  • b) nephridia
  • c) body surface
  • d) solenocytes
Answer a) flame cells

II. Answer any 7 questions. (Q.No. 22 is compulsory) (7x2=14)

13) Define least count of any device
Solution The smallest measurement that can be measured accurately by an instrument is called its least count (LC).
14) Differentiate speed and velocity
Solution
SpeedVelocity
Rate of change of distance.Rate of change of displacement.
It is a scalar quantity.It is a vector quantity.
15) Why does Helium balloon floats thin air?
Solution Helium gas is less dense than air. Therefore, the buoyant force (upthrust) exerted by the air on the balloon is greater than the weight of the balloon, causing it to float.
16) What are electric lines of force?
Solution Electric lines of force are imaginary lines representing the electric field. They start from a positive charge and end at a negative charge, indicating the direction of the electric field at any point.
17) State-Fleming's left hand rule?
Solution Stretch the thumb, forefinger, and middle finger of the left hand mutually perpendicular to each other. If the forefinger points in the direction of the magnetic field and the middle finger in the direction of the current, then the thumb points in the direction of the force acting on the conductor.
18) Define Sublimation with example.
Solution Sublimation is the process in which a solid substance changes directly into the gas phase without passing through the liquid phase.
Example: Camphor, Iodine, Dry ice.
19) Draw the structure of oxygen atom, write atomic number, mass number, proton and neutron
Solution Atomic Number (Z): 8
Mass Number (A): 16
Number of Protons: 8
Number of Neutrons: 8
Structure:
  • Nucleus contains 8 Protons and 8 Neutrons.
  • K-shell (1st orbit) contains 2 electrons.
  • L-shell (2nd orbit) contains 6 electrons.
20) State Modern periodic law
Solution The physical and chemical properties of elements are periodic functions of their atomic numbers.
21) Differentiate Phototropism and Photonasty
Solution
  • Phototropism: Directional growth movement of a plant part in response to light (e.g., shoot bends towards light).
  • Photonasty: Non-directional movement of a plant part in response to light intensity (e.g., opening of Moonflower at night).
22) Find the oxidation number of sulphur in \(H_2SO_4\) molecule.
Solution Let the oxidation number of Sulphur be \(x\).
Oxidation number of H = +1
Oxidation number of O = -2
$$2(+1) + x + 4(-2) = 0$$ $$2 + x - 8 = 0$$ $$x - 6 = 0$$ $$x = +6$$ The oxidation number of Sulphur is +6.

III. Answer any 7 questions. (Q.No. 32 is compulsory) (7x4=28)

23) i) Differentiate mass and weight (2)
ii) Fill ups (2)
a) Negative acceleration is called .............
b) Area under velocity - time graph shows .............
Solution i) Mass vs Weight:
MassWeight
Quantity of matter contained in a body.Gravitational force exerted on a body.
Scalar quantity. Remains constant everywhere.Vector quantity. Varies from place to place.

ii) Fill ups:
a) Retardation (or Deceleration)
b) Displacement (or Distance travelled)
24) i) State Pascal's law (2)
ii) State True or False (2)
a) The weight of fluid displaced determines the buoyant force on an object
b) Hydraulic press is used in the extraction of oil from oil seeds
Solution i) Pascal's Law:
The pressure applied to an enclosed fluid is transmitted undiminished to every point of the fluid and the walls of the container.

ii) True or False:
a) True (Based on Archimedes' Principle)
b) True (Application of Pascal's Law)
25) A bird sitting on a high power electric line is still safe, How?
Solution When a bird sits on a single high-power line, both its feet are at the same electrical potential. Therefore, there is no potential difference between its feet. As a result, no current flows through the bird's body, keeping it safe.
26) Match (2)
  • a) Magnetic material - Oersted
  • b) Non-magnetic material - Iron
  • c) Current and magnetism - Faraday
  • d) Electromagnetic Induction - Wood
Fill ups (2)
i) The mirror used in search light is .............
ii) Large ............. mirrors are used in solar furnaces
Solution Match Correctly:
a) Magnetic material - Iron
b) Non-magnetic material - Wood
c) Current and magnetism - Oersted
d) Electromagnetic Induction - Faraday

Fill ups:
i) Concave
ii) Concave
27) a) Define - Tyndall effect (2)
b) Differentiate - Elements and Compounds.
Solution a) Tyndall effect:
The scattering of a beam of light by the colloidal particles present in a solution, making the path of light visible, is called the Tyndall effect.

b) Elements vs Compounds:
ElementsCompounds
Made up of only one kind of atom.Made up of more than one kind of atom chemically combined.
Cannot be broken down into simpler substances.Can be broken down into elements by chemical methods.
28) 1) Match (2)
  • a) Dalton - Hydrogen atom model
  • b) Chadwick - Discovery of nucleus
  • c) Rutherford - First atomic theory
  • d) Neils Bohr - Discovery of neutrons
2) State any four features of modern periodic law
Solution 1) Match Correctly:
a) Dalton - First atomic theory
b) Chadwick - Discovery of neutrons
c) Rutherford - Discovery of nucleus
d) Neils Bohr - Hydrogen atom model

2) Features of Modern Periodic Table:
1. Elements are arranged in increasing order of atomic numbers.
2. There are 7 horizontal rows called periods.
3. There are 18 vertical columns called groups.
4. Elements are classified into s, p, d, and f blocks based on electronic configuration.
29) List five characteristic features of fishes
Solution 1. They are cold-blooded aquatic vertebrates.
2. The body is streamlined and covered with scales.
3. Respiration takes place through gills.
4. They have fins for locomotion.
5. Heart is two-chambered.
30) What are permanent tissues? Describe the different types of simple permanent tissues
Solution Permanent Tissues: Tissues that have lost the ability to divide and have attained a definite shape, size, and function.

Simple Permanent Tissues:
  • Parenchyma: Living cells with thin walls, store food, and provide support.
  • Collenchyma: Living cells with thickened corners, provide mechanical support and flexibility.
  • Sclerenchyma: Dead cells with thick lignified walls, provide strength and rigidity.
31) a) Why do we sweat?
b) Differentiate Kwarshiorkar from Marasmus
Solution a) Why do we sweat?
Sweating helps in regulating body temperature. When sweat evaporates from the skin surface, it takes latent heat from the body, causing a cooling effect.

b) Kwarshiorkor vs Marasmus:
KwarshiorkorMarasmus
Caused by Protein deficiency.Caused by Protein and Energy (Calorie) deficiency.
Symptoms: Swollen belly (Pot belly), edema.Symptoms: Severe wasting of muscles, dry skin, "old man" appearance.
32) What do you conclude about the speed of light in diamond if the refractive index of diamond is 2.41?
Solution Refractive Index (\(\mu\)) = Speed of light in vacuum (c) / Speed of light in medium (v)
\(2.41 = \frac{c}{v}\)
\(\Rightarrow v = \frac{c}{2.41}\)
Conclusion: The speed of light in diamond is \(\frac{1}{2.41}\) times the speed of light in vacuum (or air). Light travels very slowly in diamond compared to air.

IV. Answer all questions. (3x7=21)

33) a) How will you find the thickness of a one rupee coin?
(OR)
b) i) Explain the different types of motion? (5)
ii) What are the uses of convex mirror? (2)
Solution a) Finding thickness of a coin using Screw Gauge:
1. Find the Least Count (LC) and Zero Error (ZE) of the screw gauge.
2. Place the coin between the stud and the spindle.
3. Rotate the ratchet until the coin is held gently.
4. Note the Pitch Scale Reading (PSR) and Head Scale Coincidence (HSC).
5. Calculate Total Reading = PSR + (HSC × LC) ± ZC.
6. Repeat for different positions to get the average thickness.

(OR)

b) i) Types of Motion:
1. Linear Motion: Motion along a straight line.
2. Circular Motion: Motion along a circular path.
3. Oscillatory Motion: To and fro motion about a fixed point.
4. Rotatory Motion: Spinning about an axis.
5. Random Motion: Irregular motion.

ii) Uses of Convex Mirror:
1. Used as rear-view mirrors in vehicles.
2. Used in street lights to spread light over a larger area.
34) a) i) State the Gay Lussac's law of combining volumes. Explain with an illustration. (4)
ii) List down the differences between Ionic and Covalent compounds. (3)
(OR)
b) i) Give the test to identify acids and bases. (3)
ii) Explain Tyndall effect and Brownian movement with suitable diagram (4)
Solution a) i) Gay Lussac's Law:
When gases react, they do so in volumes which bear a simple ratio to one another, and to the volume of the gaseous product, provided all measurements are made at the same temperature and pressure.
Illustration: \(H_2 + Cl_2 \rightarrow 2HCl\). 1 volume of Hydrogen reacts with 1 volume of Chlorine to produce 2 volumes of HCl (Ratio 1:1:2).

a) ii) Ionic vs Covalent Compounds:
Ionic CompoundsCovalent Compounds
Formed by transfer of electrons.Formed by sharing of electrons.
High melting and boiling points.Low melting and boiling points.
Conduct electricity in molten/solution state.Do not conduct electricity (mostly).

(OR)

b) i) Tests for Acids and Bases:
1. Litmus Test: Acid turns blue litmus red; Base turns red litmus blue.
2. Phenolphthalein: Acid - Colourless; Base - Pink.
3. Methyl Orange: Acid - Red/Pink; Base - Yellow.

b) ii) Tyndall Effect & Brownian Movement:
Tyndall Effect: Scattering of light by colloidal particles making the light path visible.
Brownian Movement: The continuous, random, zig-zag motion of colloidal particles due to bombardment by dispersion medium molecules. (Diagram: Zig-zag lines representing particle path).
35) a) i) Give an account on phylum Arthropoda? (3)
ii) Give the difference between Mitosis and Meiosis. (4)
(OR)
b) i) Write about the elements of Xylem? (4)
ii) Explain the role of food control agencies in India. (3)
Solution a) i) Phylum Arthropoda:
1. Largest phylum in animal kingdom.
2. They have jointed appendages (legs).
3. Body is segmented into head, thorax, and abdomen.
4. Exoskeleton made of chitin.
5. Example: Prawn, Cockroach, Butterfly.

a) ii) Mitosis vs Meiosis:
MitosisMeiosis
Occurs in somatic (body) cells.Occurs in reproductive (germ) cells.
Produces 2 daughter cells.Produces 4 daughter cells.
Chromosome number remains same (2n).Chromosome number is halved (n).
Used for growth and repair.Used for gamete formation.

(OR)

b) i) Elements of Xylem:
1. Tracheids: Elongated, dead cells with tapering ends; conduct water.
2. Vessels (Tracheae): Long tube-like structures; main water-conducting elements.
3. Xylem Parenchyma: Living cells; store food.
4. Xylem Fibres: Dead sclerenchyma fibres; provide mechanical support.

b) ii) Food Control Agencies in India:
1. FSSAI (Food Safety and Standards Authority of India): Regulates food manufacture, storage, and distribution to ensure safety.
2. ISI (Indian Standards Institute): Certifies industrial products like electrical appliances, etc. (Now BIS).
3. AGMARK: Certifies agricultural products (oil, pulses, honey) for quality.
4. FPO (Fruit Process Order): Certifies fruit products like jams and pickles.
TVL9S Science Exam Paper Header TVL9S Science Exam Paper Header

10th Maths - Quarterly Exam 2024 - Tamil Medium Original Question Paper With Answer Key | Thoothukudi District

10th Maths Quarterly Exam 2024 - Answer Key

рокро│்ро│ி: OMTEX CLASSES
рокாроЯроо்: роХрогிродроо் (ро╡роХுрок்рокு 10)
родேро░்ро╡ு: роХாро▓ாрог்роЯு рокொродுрод்родேро░்ро╡ு 2024 ро╡ிроЯைроХро│்

рокроХுродி I - роЪро░ிропாрой ро╡ிроЯைропைрод் родேро░்рои்родெроЯு

  • 1)
    (роЖ) (2, -1)
  • 2)
    (роИ) роЗро░ுрокроЯிроЪ் роЪாро░்рокு
  • 3)
    (роЗ) 3
  • 4)
    (роЖ) роТрой்ро▒ைропொрой்ро▒ு ро╡ெроЯ்роЯாродு
  • 5)
    (роЕ) 13 рооீ
  • 6)
    (роЕ) 25:4
  • 7)
    (роЗ) роЪроорооро▒்ро▒ рооெроп்ропெрог் родீро░்ро╡ுроХро│்
  • 8)
    (роЕ) роЗро░ு рокроХ்роХроЩ்роХро│ிрой் роЪாроп்ро╡ுроХро│் роЪроороо்
  • 9)
    (роЖ) \( \frac{3}{2} \)
  • 10)
    (роЕ) 300
  • 11)
    (роЗ) 2
  • 12)
    (роИ) \( \frac{x^2 - 7x + 40}{(x^2 - 25)(x + 1)} \)
  • 13)
    (роЗ) 8
  • 14)
    (роЖ) рокூроЪ்роЪிропроо்

рокроХுродி II - родீро░்ро╡ுроХро│்

15) роородிрок்рокு R = {0, 1, 2, 3, 4, 5}
ро╡ீроЪ்роЪроХроо் = {3, 4, 5, 6, 7, 8}

16) рооூро▓роЩ்роХро│ிрой் роХூроЯுродро▓் = \( -\frac{3}{2} \)

рооூро▓роЩ்роХро│ிрой் рокெро░ுроХ்роХро▓் = \( -1 \)

роЪроорой்рокாроЯு: \( x^2 - (\text{SUM OF ROOTS})x + (\text{PRODUCT OF ROOTS}) = 0 \)

\( x^2 - (-\frac{3}{2})x + (-1) = 0 \)

\( x^2 + \frac{3}{2}x - 1 = 0 \)

\( 2x^2 + 3x - 2 = 0 \)

17) \( f(x) = 3+x, g(x) = x-4 \)

\( fog(x) = f[g(x)] = f(x-4) = 3 + (x-4) = x-1 \)

\( gof(x) = g[f(x)] = g(3+x) = (3+x)-4 = x-1 \)

роОройро╡ே, \( fog = gof \)

18) \( 10^2 = 100 \equiv 5 \pmod{19} \)

\( 10^4 = (10^2)^2 \equiv 5^2 \pmod{19} \)

\( 10^4 \equiv 25 \pmod{19} \)

\( 10^4 \equiv 6 \pmod{19} \)

\( \therefore x = 6 \)

19) роХோроЯ்роЯிрой் роЪாроп்ро╡ு \( = \frac{y_1 - y_2}{x_1 - x_2} \)

\( = \frac{-\cos\theta - \cos\theta}{\sin\theta - (-\sin\theta)} = \frac{-2\cos\theta}{2\sin\theta} = -\cot\theta \)

20) \(\triangle BPA\) ро╡ிро▓், DC || AP
роЕ.ро╡ி.родே рокроЯி
\( \frac{BC}{CP} = \frac{BD}{DA} \) ...(1)
\(\triangle BCA\) ро╡ிро▓், DE || AC
роЕ.ро╡ி.родே рокроЯி
\( \frac{BE}{EC} = \frac{BD}{DA} \) ...(2)
(1), (2) \(\Rightarrow \frac{BE}{EC} = \frac{BC}{DP}\)

21) \( 408 = 2^3 \times 3^1 \times 17^1 \)

\( 170 = 2^1 \times 5^1 \times 17^1 \)

рооீ.рокொ.ро╡ = \( 2^1 \times 17^1 = 34 \)

рооீ.рокொ.роо = \( 2^3 \times 3^1 \times 5^1 \times 17^1 = 2040 \)

22) \( a_n = \frac{n^2-1}{n+3} \)

n = 8 роОройிро▓், \( a_8 = \frac{8^2-1}{8+3} = \frac{64-1}{11} = \frac{63}{11} \)

\( a_n = \frac{n^2}{2n+1} \)

n = 15 роОройிро▓், \( a_{15} = \frac{15^2}{2(15)+1} = \frac{225}{30+1} = \frac{225}{31} \)

23) Given \( x = \frac{a^2+3a-4}{3a^2-3} \) and \( y = \frac{a^2+2a-8}{2a^2-2a-4} \). Find the value of \( x^2y^{-2} \).

First, simplify the expression for x:

\( x = \frac{a^2+3a-4}{3a^2-3} = \frac{(a+4)(a-1)}{3(a^2-1)} = \frac{(a+4)(a-1)}{3(a-1)(a+1)} = \frac{a+4}{3(a+1)} \)

Next, simplify the expression for y:

\( y = \frac{a^2+2a-8}{2a^2-2a-4} = \frac{(a+4)(a-2)}{2(a^2-a-2)} = \frac{(a+4)(a-2)}{2(a-2)(a+1)} = \frac{a+4}{2(a+1)} \)

The expression to be found is \( x^2y^{-2} \), which can be written as \( \frac{x^2}{y^2} \) or \( \left(\frac{x}{y}\right)^2 \).

Now, let's calculate \( \frac{x}{y} \):

\( \frac{x}{y} = \frac{\frac{a+4}{3(a+1)}}{\frac{a+4}{2(a+1)}} = \frac{a+4}{3(a+1)} \times \frac{2(a+1)}{a+4} = \frac{2}{3} \)

Finally, square the result to find \( \left(\frac{x}{y}\right)^2 \):

\( \left(\frac{2}{3}\right)^2 = \frac{4}{9} \)

Therefore, the value of \( x^2y^{-2} \) is \( \frac{4}{9} \).

24) \( \alpha + \beta = -\frac{b}{a} = -\frac{-7}{1} = -7 \)

\( \alpha\beta = \frac{c}{a} = \frac{10}{1} = 10 \)

\( \alpha^2 + \beta^2 = (\alpha + \beta)^2 - 2\alpha\beta = (-7)^2 - 2(10) = 49 - 20 = 29 \)

25) \( 2+4+6+...+80 = 2(1+2+3+...+40) \)

\( = 2 \times \frac{40(40+1)}{2} = 40 \times 41 = 1640 \)

26) \( LHS = \sqrt{\frac{\sec\theta - \tan\theta}{\sec\theta + \tan\theta}} = \sqrt{\frac{\sec\theta - \tan\theta}{\sec\theta + \tan\theta} \times \frac{\sec\theta - \tan\theta}{\sec\theta - \tan\theta}} \)

\( = \sqrt{\frac{(\sec\theta - \tan\theta)^2}{\sec^2\theta - \tan^2\theta}} = \frac{\sec\theta - \tan\theta}{1} = \frac{1}{\cos\theta} - \frac{\sin\theta}{\cos\theta} = \frac{1-\sin\theta}{\cos\theta} = RHS \)

27) 3x - 5y + 7 = 0, 15x + 9y + 4 = 0

\( a_1 = 3, b_1 = -5, a_2 = 15, b_2 = 9 \)

роЪெроЩ்роХுрод்родு роиிрокрои்родройை: \( a_1a_2 + b_1b_2 = 0 \)

\( (3 \times 15) + (-5 \times 9) = 45 - 45 = 0 \)

роОройро╡ே, роиேро░்роХ்роХோроЯுроХро│் роТрой்ро▒ுроХ்роХொрой்ро▒ு роЪெроЩ்роХுрод்родாройро╡ை.

28) A(6, 10), B(14, 12)

роЪроорой்рокாроЯு: \( \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} \)

\( \frac{y - 10}{12 - 10} = \frac{x - 6}{14 - 6} \Rightarrow \frac{y - 10}{2} = \frac{x - 6}{8} \)

\( 4(y - 10) = x - 6 \Rightarrow 4y - 40 = x - 6 \Rightarrow x - 4y + 34 = 0 \)

29) \( A = \{x \in \mathbb{N} | 1 < x < 4\} = \{2, 3\} \)

\( B = \{x \in \mathbb{W} | 0 \le x < 2\} = \{0, 1\} \)

\( C = \{x \in \mathbb{N} | x < 3\} = \{1, 2\} \)

\( A \times (B \cap C) = (A \times B) \cap (A \times C) \)

\( B \cap C = \{0, 1\} \cap \{1, 2\} = \{1\} \)

\( A \times (B \cap C) = \{2, 3\} \times \{1\} = \{(2, 1), (3, 1)\} \) .....(1)

\( A \times B = \{2, 3\} \times \{0, 1\} = \{(2, 0), (2, 1), (3, 0), (3, 1)\} \)

\( A \times C = \{2, 3\} \times \{1, 2\} = \{(2, 1), (2, 2), (3, 1), (3, 2)\} \)

\( (A \times B) \cap (A \times C) = \{(2, 1), (3, 1)\} \) .....(2)

(1), (2) ро▓ிро░ுрои்родு \( A \times (B \cap C) = (A \times B) \cap (A \times C) \) роЪро░ிрокாро░்роХ்роХрок்рокроЯ்роЯродு.

рокроХுродி III - родீро░்ро╡ுроХро│்

30) \( f : A \rightarrow B, f(x) = \frac{x}{2} - 1 \)

\( A = \{2, 4, 6, 10, 12\}, B = \{0, 1, 2, 4, 5, 9\} \)

\( f(2) = \frac{2}{2} - 1 = 0 \)

\( f(4) = \frac{4}{2} - 1 = 1 \)

\( f(6) = \frac{6}{2} - 1 = 2 \)

\( f(10) = \frac{10}{2} - 1 = 4 \)

\( f(12) = \frac{12}{2} - 1 = 5 \)

(i) ро╡ро░ிроЪை роЪோроЯிроХро│ிрой் роХрогроо்: \( f = \{(2, 0), (4, 1), (6, 2), (10, 4), (12, 5)\} \)

(ii) роЕроЯ்роЯро╡рогை:

Question 30 table

(iii) роЕроо்рокுроХ்роХுро▒ிрок் рокроЯроо்:

Question 30 arrow diagram

(iv) ро╡ро░ைрокроЯроо்:

Question 30 graph

31) a, b, c роТро░ு роХூроЯ்роЯுрод்родொроЯро░் ро╡ро░ிроЪைропிро▓் роЙро│்ро│рой. роОройро╡ே, \( 2b = a + c \).
\( a + b + c = 207 \Rightarrow (a+c) + b = 207 \Rightarrow 2b + b = 207 \Rightarrow 3b = 207 \Rightarrow b = 69 \)
рооேро▓ுроо், \( ab = 4623 \Rightarrow a \times 69 = 4623 \Rightarrow a = \frac{4623}{69} = 67 \)
роЗрок்рокொро┤ுродு, \( c = 2b - a = 2(69) - 67 = 138 - 67 = 71 \)
роОройро╡ே, \( a=67, b=69, c=71 \)

32) ро╡ாрогி ро╡ропродு = x, родрои்родை ро╡ропродு = y, родாрод்родா ро╡ропродு = z роОрой்роХ.

рооுродро▓் роиிрокрои்родройை: рооூро╡ро░ிрой் роЪро░ாроЪро░ி ро╡ропродு 53.

\( \frac{x+y+z}{3} = 53 \)

\( x+y+z = 159 \) .....(1)

роЗро░рог்роЯாроо் роиிрокрои்родройை: родாрод்родாро╡ிрой் ро╡ропродிро▓் рокாродி, родрои்родைропிрой் ро╡ропродிро▓் рооூрой்ро▒ிро▓் роТро░ு рокроЩ்роХு, ро╡ாрогிропிрой் ро╡ропродிро▓் роиாрой்роХிро▓் роТро░ு рокроЩ்роХு роЖроХிропро╡ро▒்ро▒ிрой் роХூроЯுродро▓் 65.

\( \frac{z}{2} + \frac{y}{3} + \frac{x}{4} = 65 \)

роЗро░ுрокுро▒рооுроо் 12 роЖро▓் рокெро░ுроХ்роХ:

\( 6z + 4y + 3x = 780 \) .....(2)

рооூрой்ро▒ாроо் роиிрокрои்родройை: роиாрой்роХு роЖрог்роЯுроХро│ுроХ்роХு рооுрой் родாрод்родாро╡ிрой் ро╡ропродு ро╡ாрогிропிрой் ро╡ропродை рокோро▓் роиாрой்роХு роороЯроЩ்роХு.

\( z - 4 = 4(x-4) \)

\( z - 4 = 4x - 16 \)

\( 4x - z = 12 \) .....(3)

роЪроорой்рокாроЯுроХро│ைрод் родீро░்род்родро▓்:

роЪроорой்рокாроЯு (1) рооро▒்ро▒ுроо் (3) роР роХூроЯ்роЯுроХ:

\( (x+y+z) + (4x-z) = 159 + 12 \)

\( 5x + y = 171 \) .....(4)

роЪроорой்рокாроЯு (3) роР 6 роЖро▓் рокெро░ுроХ்роХி роЪроорой்рокாроЯு (2) роЙроЯрой் роХூроЯ்роЯுроХ:

\( 24x - 6z = 72 \) .....(3) x 6

\( (3x+4y+6z) + (24x-6z) = 780 + 72 \)

\( 27x + 4y = 852 \) .....(5)

роЗрок்рокோродு роЪроорой்рокாроЯு (4) рооро▒்ро▒ுроо் (5) роР родீро░்роХ்роХро▓ாроо். роЪроорой்рокாроЯு (4) роР 4 роЖро▓் рокெро░ுроХ்роХ:

\( 20x + 4y = 684 \) .....(6)

роЪроорой்рокாроЯு (5) ро▓ிро░ுрои்родு (6) роР роХро┤ிроХ்роХ:

\( (27x+4y) - (20x+4y) = 852 - 684 \)

\( 7x = 168 \Rightarrow x = 24 \)

x = 24 роОрой роЪроорой்рокாроЯு (4) роЗро▓் рокிро░родிропிроЯ:

\( 5(24) + y = 171 \Rightarrow 120 + y = 171 \Rightarrow y = 51 \)

x = 24 роОрой роЪроорой்рокாроЯு (3) роЗро▓் рокிро░родிропிроЯ:

\( 4(24) - z = 12 \Rightarrow 96 - z = 12 \Rightarrow z = 84 \)

родро▒்рокோродைроп ро╡ропродுроХро│்:

  • ро╡ாрогிропிрой் ро╡ропродு (x) =
    24
  • родрои்родைропிрой் ро╡ропродு (y) =
    51
  • родாрод்родாро╡ிрой் ро╡ропродு (z) =
    84

33) роХொроЯுроХ்роХрок்рокроЯ்роЯ рокро▓்ро▓ுро▒ுрок்рокுроХ்роХோро╡ை роТро░ு рооுро┤ு ро╡ро░்роХ்роХроо் роОройிро▓், роЕродрой் рооீродி рокூроЪ்роЪிропрооாроХுроо்.

Question 33 Polynomial Division

роЗроЩ்роХு, \( b+42=0 \Rightarrow b=-42 \)

рооро▒்ро▒ுроо் \( a-49=0 \Rightarrow a=49 \)

34) рокропрогிроХро│் ро╡рог்роЯி роЪро░ாроЪро░ி ро╡ேроХроо் x роХி.рооீ/роорогி роОрой்роХ.
ро╡ிро░ைро╡ு ро╡рог்роЯி роЪро░ாроЪро░ி ро╡ேроХроо் (x + 20) роХி.рооீ/роорогி.
рокропрогிроХро│் родொроЯро░்ро╡рог்роЯி роиேро░роо் \( = \frac{240}{x} \)
ро╡ிро░ைро╡ு родொроЯро░்ро╡рог்роЯி роиேро░роо் \( = \frac{240}{x+20} \)
роХொроЯுроХ்роХрок்рокроЯ்роЯро╡ை: \( \frac{240}{x} - \frac{240}{x+20} = 1 \)
\( 240 \left[ \frac{1}{x} - \frac{1}{x+20} \right] = 1 \Rightarrow 240 \left[ \frac{x+20-x}{x(x+20)} \right] = 1 \)
\( 240(20) = x(x+20) \Rightarrow 4800 = x^2 + 20x \)
\( x^2 + 20x - 4800 = 0 \)
\( (x+80)(x-60) = 0 \)
ро╡ேроХроо் роХுро▒ை роОрог்рогாроХ роЗро░ுроХ்роХ рооுроЯிропாродு, роОройро╡ே \( x=60 \).
рокропрогிроХро│் родொроЯро░்ро╡рог்роЯிропிрой் роЪро░ாроЪро░ி ро╡ேроХроо் 60 роХி.рооீ/роорогி.
ро╡ிро░ைро╡ு родொроЯро░்ро╡рог்роЯிропிрой் роЪро░ாроЪро░ி ро╡ேроХроо் 80 роХி.рооீ/роорогி.

35) \( (a-b)x^2 + (b-c)x + (c-a) = 0 \) роЗрой் рооூро▓роЩ்роХро│் роЪроороо் роОройிро▓், \( B^2 - 4AC = 0 \).
роЗроЩ்роХு, \( A=a-b, B=b-c, C=c-a \)
\( (b-c)^2 - 4(a-b)(c-a) = 0 \)
\( b^2-2bc+c^2 - 4(ac-a^2-bc+ab) = 0 \)
\( b^2-2bc+c^2 - 4ac+4a^2+4bc-4ab = 0 \)
\( 4a^2+b^2+c^2-4ab+2bc-4ac = 0 \)
роЗродு \( (2a-b-c)^2 = 0 \) ро╡роЯிро╡род்родிро▓் роЙро│்ро│родு.
\( 2a-b-c=0 \Rightarrow 2a=b+c \)
роОройро╡ே, a, b, c роТро░ு роХூроЯ்роЯுрод்родொроЯро░் ро╡ро░ிроЪைропிро▓் роЙро│்ро│рой.

36) \( 11^2 + 12^2 + ... + 25^2 = (1^2 + 2^2 + ... + 25^2) - (1^2 + 2^2 + ... + 10^2) \)
роЪூрод்родிро░роо்: \( \sum n^2 = \frac{n(n+1)(2n+1)}{6} \)
\( = \frac{25(26)(51)}{6} - \frac{10(11)(21)}{6} \)
\( = (25 \times 13 \times 17) - (5 \times 11 \times 7) \)
\( = 5525 - 385 = 5140 \)

37) A(6, 2), B(-5, -1), C(1, 9)
BC-рой் роироЯுрок்рокுро│்ро│ி \( D = (\frac{-5+1}{2}, \frac{-1+9}{2}) = (-2, 4) \)
роироЯுроХ்роХோроЯு AD-рой் роЪроорой்рокாроЯு:
\( \frac{y - 2}{4 - 2} = \frac{x - 6}{-2 - 6} \Rightarrow \frac{y-2}{2} = \frac{x-6}{-8} \)
\( -4(y-2) = x-6 \Rightarrow -4y+8 = x-6 \Rightarrow x+4y-14=0 \)
BC-рой் роЪாроп்ро╡ு \( = \frac{9-(-1)}{1-(-5)} = \frac{10}{6} = \frac{5}{3} \)
роХுрод்родுроХ்роХோроЯ்роЯிрой் роЪாроп்ро╡ு \( = -\frac{3}{5} \)
роХுрод்родுроХ்роХோроЯ்роЯிрой் роЪроорой்рокாроЯு: \( y-2 = -\frac{3}{5}(x-6) \)
\( 5(y-2) = -3(x-6) \Rightarrow 5y-10=-3x+18 \Rightarrow 3x+5y-28=0 \)

38) роЙро│்рооுро▒்ро▒род்родிрой் рокро░рок்рокு = роиாро▒்роХро░роо் ABCD-рой் рокро░рок்рокு - роиாро▒்роХро░роо் EFGH-рой் рокро░рок்рокு.

Angle Bisector Theorem Proof

рокроЯி 1: роиாро▒்роХро░роо் ABCD-рой் рокро░рок்рокро│ро╡ைроХ் роХாрогுродро▓்

рооுройைроХро│் A(-4, -8), B(8, -4), C(6, 10), D(-10, 6).

роиாро▒்роХро░род்родிрой் рокро░рок்рокு = \( \frac{1}{2} |(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)| \)

\( = \frac{1}{2} |((-4)(-4) + (8)(10) + (6)(6) + (-10)(-8)) - ((-8)(8) + (-4)(6) + (10)(-10) + (6)(-4))| \)

\( = \frac{1}{2} |(16 + 80 + 36 + 80) - (-64 - 24 - 100 - 24)| \)

\( = \frac{1}{2} |(212) - (-212)| \)

\( = \frac{1}{2} |424| = 212 \) роЪродுро░ роЕро▓роХுроХро│்.

рокроЯி 2: роиாро▒்роХро░роо் EFGH-рой் рокро░рок்рокро│ро╡ைроХ் роХாрогுродро▓்

рооுройைроХро│் E(-3, -5), F(6, -2), G(3, 7), H(-6, 4).

роиாро▒்роХро░род்родிрой் рокро░рок்рокு = \( \frac{1}{2} |((-3)(-2) + (6)(7) + (3)(4) + (-6)(-5)) - ((-5)(6) + (-2)(3) + (7)(-6) + (4)(-3))| \)

\( = \frac{1}{2} |(6 + 42 + 12 + 30) - (-30 - 6 - 42 - 12)| \)

\( = \frac{1}{2} |(90) - (-90)| \)

\( = \frac{1}{2} |180| = 90 \) роЪродுро░ роЕро▓роХுроХро│்.

рокроЯி 3: роЙро│்рооுро▒்ро▒род்родிрой் рокро░рок்рокро│ро╡ைроХ் роХாрогுродро▓்

роЙро│்рооுро▒்ро▒род்родிрой் рокро░рок்рокு = (ABCD-рой் рокро░рок்рокு) - (EFGH-рой் рокро░рок்рокு)

\( = 212 - 90 \)

\( = \) 122 роЪродுро░ роЕро▓роХுроХро│்.

39) роХோрог роЗро░ுроЪрооро╡ெроЯ்роЯிрод் родேро▒்ро▒роо்: роТро░ு рооுроХ்роХோрогрод்родிрой் роТро░ு роХோрогрод்родிрой் роЙроЯ்рокுро▒ роЗро░ுроЪрооро╡ெроЯ்роЯிропாройродு роЕроХ்роХோрогрод்родிрой் роОродிро░்рокроХ்роХрод்родை роЙроЯ்рокுро▒рооாроХ роЕроХ்роХோрогрод்родிройை роЕроЯроХ்роХிроп рокроХ்роХроЩ்роХро│ிрой் ро╡ிроХிродрод்родிро▓் рокிро░ிроХ்роХுроо்.

Angle Bisector Theorem Proof

40) \( \frac{\cos\theta}{1+\sin\theta} = \frac{1}{a} \Rightarrow a = \frac{1+\sin\theta}{\cos\theta} \)
роиிро░ூрокிроХ்роХ: \( \frac{a^2-1}{a^2+1} = \sin\theta \)
LHS: \( \frac{(\frac{1+\sin\theta}{\cos\theta})^2-1}{(\frac{1+\sin\theta}{\cos\theta})^2+1} = \frac{\frac{(1+\sin\theta)^2-\cos^2\theta}{\cos^2\theta}}{\frac{(1+\sin\theta)^2+\cos^2\theta}{\cos^2\theta}} \)
\( = \frac{1+2\sin\theta+\sin^2\theta-\cos^2\theta}{1+2\sin\theta+\sin^2\theta+\cos^2\theta} = \frac{1+2\sin\theta+\sin^2\theta-(1-\sin^2\theta)}{1+2\sin\theta+1} \)
\( = \frac{2\sin\theta+2\sin^2\theta}{2+2\sin\theta} = \frac{2\sin\theta(1+\sin\theta)}{2(1+\sin\theta)} = \sin\theta = \text{RHS} \)

41) роТро░ு рокெро░ுроХ்роХுрод் родொроЯро░் ро╡ро░ிроЪைропிро▓், \( t_4 = ar^3 = 54 \) ...(1)
\( t_7 = ar^6 = 1458 \) ...(2)
\((2) \div (1) \Rightarrow \frac{ar^6}{ar^3} = \frac{1458}{54} \Rightarrow r^3 = 27 \Rightarrow r = 3 \)
\( a(3)^3 = 54 \Rightarrow a(27)=54 \Rightarrow a=2 \)
рокெро░ுроХ்роХுрод் родொроЯро░் ро╡ро░ிроЪை: 2, 6, 18, .......

42) \( f(x)=x-4, g(x)=x^2, h(x)=3x-5 \)
(fog)oh:
\( (fog)(x) = f(g(x)) = f(x^2) = x^2-4 \)
\( ((fog)oh)(x) = (fog)(h(x)) = (fog)(3x-5) = (3x-5)^2-4 \)
\( = 9x^2-30x+25-4 = 9x^2-30x+21 \)
fo(goh):
\( (goh)(x) = g(h(x)) = g(3x-5) = (3x-5)^2 \)
\( (fo(goh))(x) = f((goh)(x)) = f((3x-5)^2) = (3x-5)^2-4 \)
\( = 9x^2-30x+25-4 = 9x^2-30x+21 \)
роОройро╡ே, (fog)oh = fo(goh) роЪро░ிрокாро░்роХ்роХрок்рокроЯ்роЯродு.

рокроХுродி IV - ро╡ро░ைрокроЯроЩ்роХро│்

43) a) ро╡роЯிроТрод்род рооுроХ்роХோрогроо் ро╡ро░ைродро▓்

Similar Triangles Construction Similar Triangles Construction

43) b) родொроЯுроХோроЯு ро╡ро░ைродро▓்

Tangent Construction Tangent Construction

44) a) ро╡ро░ைрокроЯроо்

Graph Question 44a Graph Question 44a Graph Question 44a Graph Question 44a

роЗродு роТро░ு роОродிро░் рооாро▒ுрокாроЯு. \( xy = 6000 \).
From the graph, when y = 200, x = 30.

44) b) ро╡ро░ைрокроЯроо்

Graph Question 44b Graph Question 44b Graph Question 44b

роЗродு роТро░ு роиேро░் рооாро▒ுрокாроЯு.
ро╡ிроХிродроЪроо рооாро▒ிро▓ி, \( k = \frac{y}{x} = \frac{50}{60} = \frac{100}{120} = \frac{5}{6} \)
x = 1 (1/2) hours = 90 mins, then \( y = kx = \frac{5}{6} \times 90 = 75 \) km.
x = 6 hours = 360 mins, then \( y = \frac{5}{6} \times 360 = 300 \) km.

роЙро░ுро╡ாроХ்роХроо்: OMTEX CLASSES AMIN . M.Com

Angle Bisector Theorem Proof Angle Bisector Theorem Proof Angle Bisector Theorem Proof Angle Bisector Theorem Proof

6th Social Science - Term 1 Exam 2024 - Original Question Paper | Virudhunagar District

6th Social Science Quarterly Exam Question Paper & Solutions 2024

ро╡роХுрок்рокு: 6
рокாроЯроо்: роЪрооூроХ роЕро▒ிро╡ிропро▓்
родேро░்ро╡ு: родொроХுрод்родро▒ி родேро░்ро╡ு - роЪெрок்роЯроо்рокро░் 2024
рооாро╡роЯ்роЯроо்: ро╡ிро░ுродுроироХро░்
роородிрок்рокெрог்роХро│்: 60
роиேро░роо்: 2.00 роорогி

I. роЪро░ிропாрой ро╡ிроЯைропைрод் родேро░்рои்родெроЯுроХ்роХро╡ுроо்: (6×1=6)

1) рокро┤роЩ்роХாро▓ рооройிродрой் родройродு роЙрогро╡ைроЪ் роЪேроХро░ிроХ்роХ рооேро▒்роХொрог்роЯ роироЯро╡роЯிроХ்роХை

  • роЕ) ро╡рогிроХроо்
  • роЖ) ро╡ேроЯ்роЯைропாроЯுродро▓்
  • роЗ) роУро╡ிропроо் ро╡ро░ைродро▓்
  • роИ) ро╡ிро▓роЩ்роХுроХро│ை ро╡ро│ро░்род்родро▓்
ро╡ிроЯை: роЖ) ро╡ேроЯ்роЯைропாроЯுродро▓்

2) роЪிрои்родுро╡ெро│ி роороХ்роХро│் роОрои்род роЙро▓ோроХроЩ்роХро│ைрок் рокро▒்ро▒ி роЕро▒ிрои்родு роЗро░ுрои்родройро░்?

  • роЕ) роЪெроо்рокு, ро╡ெрог்роХро▓роо், ро╡ெро│்ро│ி, родроЩ்роХроо்
  • роЖ) роЪெроо்рокு, ро╡ெро│்ро│ி, роЗро░ுроо்рокு, ро╡ெрог்роХро▓роо்
  • роЗ) роЪெроо்рокு, родроЩ்роХроо், роЗро░ுроо்рокு, ро╡ெро│்ро│ி
  • роИ) роЪெроо்рокு, родроЩ்роХроо், ро╡ெро│்ро│ி, роЗро░ுроо்рокு
ро╡ிроЯை: роЕ) роЪெроо்рокு, ро╡ெрог்роХро▓роо், ро╡ெро│்ро│ி, родроЩ்роХроо்

3) роХீро┤роЯி роЕроХро┤ாроп்ро╡ுроХро│ுроЯрой் родொроЯро░்рокுроЯைроп роироХро░роо்

  • роЕ) роородுро░ை
  • роЖ) роХாроЮ்роЪிрокுро░роо்
  • роЗ) рокூроо்рокுроХாро░்
  • роИ) ро╣ро░рок்рокா
ро╡ிроЯை: роЕ) роородுро░ை

4) рооройிродрой் родрой் роХாро▓роЯிропைрок் рокродிрод்родுро│்ро│ роТро░ே ро╡ிрог்рокொро░ுро│்

  • роЕ) роЪெро╡்ро╡ாроп்
  • роЖ) роЪрои்родிро░рой்
  • роЗ) рокுродрой்
  • роИ) ро╡ெро│்ро│ி
ро╡ிроЯை: роЖ) роЪрои்родிро░рой்

5) роЙро▒ைрои்род роХрог்роЯроо்

  • роЕ) ро╡роЯроЕрооெро░ிроХ்роХா
  • роЖ) роЖро╕்родிро░ேро▓ிропா
  • роЗ) роЕрог்роЯாро░்роЯிроХா
  • роИ) роЖроЪிропா
ро╡ிроЯை: роЗ) роЕрог்роЯாро░்роЯிроХா

6) “роЯிро╕்роХро╡ро░ி роЖроГрок் роЗрои்родிропா” роОрой்ро▒ роиூро▓ிройை роОро┤ுродிропро╡ро░்

  • роЕ) роЗро░ாроЬாроЬி
  • роЖ) ро╡.роЙ.роЪி
  • роЗ) роиேродாроЬி
  • роИ) роЬро╡ро╣ро░்ро▓ாро▓் роиேро░ு
ро╡ிроЯை: роИ) роЬро╡ро╣ро░்ро▓ாро▓் роиேро░ு

II. роХோроЯிроЯ்роЯ роЗроЯроЩ்роХро│ை роиிро░рок்рокுроХ: (4×1=4)

7) рокாро▒ை роУро╡ிропроЩ்роХро│் роиீро▓роХிро░ி рооாро╡роЯ்роЯрод்родிро▓் роЙро│்ро│ роХро░ிроХ்роХைропூро░் роОрой்ройுроо் роЗроЯрод்родிро▓் роХாрогрок்рокроЯுроХிрой்ро▒рой.

8) роЗрои்родிропாро╡ிро▓் роХройிрооро╡ро│роо் роиிро▒ைрои்род рокீроЯрокூрооி роЪோроЯ்роЯா роиாроХ்рокூро░் рокீроЯрокூрооி.

9) роХோропிро▓்роХро│ிрой் роироХро░роо் роОрой роЕро┤ைроХ்роХрок்рокроЯுро╡родு роХாроЮ்роЪிрокுро░роо்.

10) роЪுродрои்родிро░ роЗрои்родிропாро╡ிрой் рооுродро▓் роЪроЯ்роЯ роЕрооைроЪ்роЪро░் роЯாроХ்роЯро░் рокி.роЖро░். роЕроо்рокேрод்роХро░்.

III. рокொро░ுрод்родுроХ: (5×1=5)

11) роЕроЪோроХро░் рооிроХро╡ுроо் рокுроХро┤்рокெро▒்ро▒ роЕро░роЪро░்
12) рооொроХроЮ்роЪродாро░ோ роЗро▒рои்родோро░் рооேроЯு
13) роЪெрои்роиிро▒роХ்роХோро│் роЪெро╡்ро╡ாроп்
14) рооро░ிропாройா роЕроХро┤ி рокроЪிрокிроХ் рокெро░ுроЩ்роХроЯро▓்
15) ро╡ேро▒்ро▒ுрооைропிро▓் роТро▒்ро▒ுрооை роЗрои்родிропா

IV. роЪро░ிропா? родро╡ро▒ா?: (5×1=5)

16) рооுродро▓் роОро┤ுрод்родு ро╡роЯிро╡роо் роЪீройро░்роХро│ாро▓் роЙро░ுро╡ாроХ்роХрок்рокроЯ்роЯродு.

родро╡ро▒ு

17) рокро▓்ро▓ро╡ро░்роХро│் роХாро▓род்родிро▓் роОрог்рогро▒்ро▒ роХுроЯைро╡ро░ைроХ் роХோропிро▓்роХро│் роЕрооைроХ்роХрок்рокроЯ்роЯрой.

роЪро░ி

18) рокொро░ுрои்родாродродை ро╡роЯ்роЯрооிроЯுроХ:

1. роЖрок்рокிро░ிроХ்роХா, роРро░ோрок்рокா, роЖро╕்родிро░ேро▓ிропா, роЗро▓роЩ்роХை

рокொро░ுрои்родாродродு: роЗро▓роЩ்роХை (рооро▒்ро▒ро╡ை роХрог்роЯроЩ்роХро│்)

2. родро░ை роКро░்родி, роЪுро▒்ро▒ுроХ்роХро▓роо், ро╡ாройூро░்родி, ро╡ிрог்роХро▓роо்

рокொро░ுрои்родாродродு: родро░ை роКро░்родி (рооро▒்ро▒ро╡ை ро╡ாрой் рооро▒்ро▒ுроо் ро╡ிрог்ро╡ெро│ி родொроЯро░்рокாройро╡ை)

19) рокெропро░ிроЯுроХ:

роЙропிро░ிройроЩ்роХро│ை роЙро│்ро│роЯроХ்роХிроп роХோро│роо்

роЙропிро░்роХ்роХோро│роо்

20) родро╡ро▒ாрой роЗрогைропைроХ் роХрог்роЯро▒ிроХ:

  • роЕ) ро╡роЯрооро▓ை - родроЩ்роХроо்
  • роЖ) рооேро▒்роХுрооро▓ை - роЪрои்родройроо்
  • роЗ) родெрой்роХроЯро▓் - рооுрод்родு
  • роИ) роХீро┤்роХроЯро▓் - роЕроХிро▓்
родро╡ро▒ாрой роЗрогை: роИ) роХீро┤்роХроЯро▓் - роЕроХிро▓் (роЪро░ிропாройродு: роХீро┤்роХроЯро▓் - рокро╡ро│роо்)

V. роУро░ிро░ு ро╡ாро░்род்родைропிро▓் ро╡ிроЯைропро│ி: (5×1=5)

21) роПродேройுроо் роТро░ு роХாрок்рокிропрод்родிрой் рокெропро░ை роОро┤ுродுроХ.

роЪிро▓рок்рокродிроХாро░роо்

22) роиாроо் роЙрог்рогுроо் роЙрогро╡ிро▓் ро╡ேроХ ро╡ைрод்род роЙрогро╡ு, рокроЪ்роЪைропாрой роЙрогро╡ு роОрой роТро░ு рокроЯ்роЯிропро▓ை роЙро░ுро╡ாроХ்роХுроХ.

ро╡ேроХ ро╡ைрод்род роЙрогро╡ு: роЪோро▒ு, роЗроЯ்ро▓ி.
рокроЪ்роЪைропாрой роЙрогро╡ு: рокро┤роЩ்роХро│், роХாроп்роХро▒ி роЪாро▓роЯ்.

23) родொрог்роЯை роиாроЯ்роЯிро▓் родொрой்рооைропாрой роироХро░роо் роОродு?

роХாроЮ்роЪிрокுро░роо்

24) роТро░ு роиாроЯ்роЯிрой் рокெропро░ைроХ் роХொрог்роЯுро│்ро│ рокெро░ுроЩ்роХроЯро▓் роОродு?

роЗрои்родிропрок் рокெро░ுроЩ்роХроЯро▓்

25) роХро▓்ро╡ெроЯ்роЯுроХро│் роУро░் роОро┤ுродрок்рокроЯ்роЯ ро╡ро░ро▓ாро▒்ро▒ுроЪ் роЪாрой்ро▒ா?

роЖроо், роХро▓்ро╡ெроЯ்роЯுроХро│் рооுродрой்рооை роОро┤ுродрок்рокроЯ்роЯ ро╡ро░ро▓ாро▒்ро▒ுроЪ் роЪாрой்ро▒ுроХро│் роЖроХுроо்.

VI. роЪுро░ுроХ்роХрооாрой ро╡ிроЯைропро│ி: (роПродேройுроо் 8) (8×2=16)

26) ро╡ро░ро▓ாро▒்ро▒ுроХ்роХு рооுрои்родைроп роХாро▓роХ் роХро░ுро╡ிроХро│் роХрог்роЯுрокிроЯிроХ்роХрок்рокроЯ்роЯ роЗроЯроЩ்роХро│் ропாро╡ை?

роЕрод்родிро░роо்рокாроХ்роХроо், рокிроо்рокேроЯ்роХா, ро╣рой்роЪாроХி рокро│்ро│род்родாроХ்роХு.

27) рокро░ிрогாроороо் роОрой்ро▒ாро▓் роОрой்рой?

рооройிродрой் роХாро▓рок்рокோроХ்роХிро▓் родрой்ройை роЪூро┤ро▓ுроХ்роХு роПро▒்рок рооாро▒்ро▒ிроХ்роХொрог்роЯு, рокроЯிрок் рокроЯிропாроХ ро╡ро│ро░்роЪ்роЪி роЕроЯைро╡родே рокро░ிрогாроороо் роЖроХுроо்.

28) родрооிро┤роХрод்родிрой் рокрог்роЯைроп роироХро░роЩ்роХро│ைроХ் роХுро▒ிрок்рокிроЯுроХ.

рокூроо்рокுроХாро░், роородுро░ை, роХாроЮ்роЪி.

29) рооройிродро░்роХро│் роПрой் роЗроЯроо்ро╡ிроЯ்роЯு роЗроЯроо் роироХро░்рои்родாро░்роХро│்?

роЙрогро╡ு, роиீро░் рооро▒்ро▒ுроо் ро╡ிро▓роЩ்роХுроХро│ிроЯрооிро░ுрои்родு родроЩ்роХро│ைроХ் роХாрод்родுроХ் роХொро│்ро╡родро▒்роХாроХ рооройிродро░்роХро│் роЗроЯроо்ро╡ிроЯ்роЯு роЗроЯроо் роироХро░்рои்родாро░்роХро│்.

30) роЙроЯ்рокுро▒роХ் роХோро│்роХро│ைрок் рокெропро░ிроЯுроХ.

рокுродрой், ро╡ெро│்ро│ி, рокூрооி, роЪெро╡்ро╡ாроп்.

31) роХрог்роЯроо் роОрой்ро▒ாро▓் роОрой்рой?

рокெро░ுроЩ்роХроЯро▓்роХро│ாро▓் роЪூро┤рок்рокроЯ்роЯ рооிроХрок்рокெро░ிроп роиிро▓рок்рокро░рок்рокு роХрог்роЯроо் роОройрок்рокроЯுроо்.

32) рооро▓ை - рокீроЯрокூрооி ро╡ேро▒ுрокроЯுрод்родுроХ.

рооро▓ை: роЪுро▒்ро▒ுрок்рокுро▒ роиிро▓рок்рокроХுродிропை ро╡ிроЯ рооிроХро╡ுроо் роЙропро░рооாроХро╡ுроо், роЪெроЩ்роХுрод்родாрой роЪро░ிро╡ைропுроо் роХொрог்роЯродு.
рокீроЯрокூрооி: роЪроорооாрой рооேро▒்рокро░рок்рокைроХ் роХொрог்роЯ роЙропро░்рои்род роиிро▓рок்рокро░рок்рокு. роЗродு 'рооேроЪை роиிро▓роо்' роОройро╡ுроо் роЕро┤ைроХ்роХрок்рокроЯுроХிро▒родு.

33) рокрой்рооுроХрод் родрой்рооைропிройை ро╡ро░ைропро▒ு.

рооொро┤ி, роородроо், роЗройроо், роХро▓ாроЪ்роЪாро░роо் рокோрой்ро▒ро╡ро▒்ро▒ிро▓் роороХ்роХро│் ро╡ேро▒ுрокроЯ்роЯிро░ுрои்родாро▓ுроо், ро╡ேро▒்ро▒ுрооைроХро│ைроХ் роХроЯрои்родு роТро▒்ро▒ுрооைропாроХ ро╡ாро┤்ро╡родே рокрой்рооுроХрод் родрой்рооை роЖроХுроо்.

34) роЗрои்родிропாро╡ிро▓் роХொрог்роЯாроЯрок்рокроЯுроо் рокро▓்ро╡ேро▒ு ро╡ிро┤ாроХ்роХро│ிро▓் роОро╡ைропேройுроо் рооூрой்ро▒ு роОро┤ுродுроХ.

рокொроЩ்роХро▓், родீрокாро╡ро│ி, роХிро▒ிро╕்родுрооро╕்.

35) рокாроХுрокாроЯு роОрой்ро▒ாро▓் роОрой்рой?

роТро░ு роирокро░் роЕро▓்ро▓родு роХுро┤ுро╡ை рооро▒்ро▒ро╡ро░்роХро│ைроХ் роХாроЯ்роЯிро▓ுроо் родாро┤்ро╡ாроХро╡ுроо், роОродிро░்рооро▒ைропாроХро╡ுроо் роироЯрод்родுро╡родே рокாроХுрокாроЯு роЖроХுроо்.

VII. ро╡ிро░ிро╡ாрой ро╡ிроЯைропро│ி: (роПродேройுроо் 3) (3×5=15)

36) роХроЯ்роЯроХ ро╡ிройா:

роХрог்роЯுрокிроЯிроХ்роХрок்рокроЯ்роЯ роиிроХро┤்ро╡ு рокாройை роЪெроп்ро╡родை роОро│ிродாроХ்роХிропродு. роЪроХ்роХро░роо்
рооройிродро░்роХро│ிрой் рооுродро▓் роЕро▒ிро╡ிропро▓் роХрог்роЯுрокிроЯிрок்рокு роОродு? роиெро░ுрок்рокு
родொроЯроХ்роХ роХாро▓ рооройிродро░்роХро│ிрой் рооுродрой்рооைропாрой родொро┤ிро▓் роОродு? ро╡ேроЯ்роЯைропாроЯுродро▓்
родொро▓்ро▓ிропро▓் родுро▒ைропுроЯрой் родொроЯро░்рокுроЯைропродு. роЕроХро┤ாроп்ро╡ு
роЖропுродроЩ்роХро│் роЪெроп்ро╡родро▒்роХு роПро▒்ро▒ роХро▓் роОродு? роЪிроХ்роХிрооுроХ்роХிроХ் роХро▓்
роироХро░роЩ்роХро│ுроо் рокெро░ுроироХро░роЩ்роХро│ுроо் рооро▒்ро▒ுроо் роЖроХிропро╡ро▒்ро▒ாро▓் родோрой்ро▒ிрой. ро╡рогிроХроо் рооро▒்ро▒ுроо் ро╡ро░்род்родроХроо்

37) рокெро░ுроЩ்роХுро│роо் рокро▒்ро▒ி роЙройроХ்роХு родெро░ிрои்родро╡ро▒்ро▒ைроХ் роХூро▒ு.

  • рокெро░ுроЩ்роХுро│роо் рооொроХроЮ்роЪродாро░ோро╡ிро▓் роХாрогрок்рокроЯ்роЯродு. роЗродு роЪெро╡்ро╡роХ ро╡роЯிро╡ிро▓் роЕрооைрои்родிро░ுрои்родродு.
  • роЗродு роирой்роХு роЪுроЯ்роЯ роЪெроЩ்роХро▒்роХро│ாро▓் роХроЯ்роЯрок்рокроЯ்роЯродு. роХроЪிро╡ைрод் родроЯுроХ்роХ роЗропро▒்роХை родாро░் роХொрог்роЯு рокூроЪрок்рокроЯ்роЯродு.
  • роХுро│род்родிрой் рооூрой்ро▒ு рокроХ்роХроЩ்роХро│ிро▓ுроо் роЕро▒ைроХро│் роЗро░ுрои்родрой.
  • ро╡роЯроХ்роХு рооро▒்ро▒ுроо் родெро▒்роХுрок் рокроХ்роХроЩ்роХро│ிро▓் роЗро░ுрои்родு роХுро│род்родிро▒்роХுроЪ் роЪெро▓்ро▓ рокроЯிроХ்роХроЯ்роЯுроХро│் роЕрооைроХ்роХрок்рокроЯ்роЯிро░ுрои்родрой.
  • роЕро░ுроХிро▓் роЗро░ுрои்род роХிрогро▒்ро▒ிро▓் роЗро░ுрои்родு роиீро░் роЗро▒ைроХ்роХрок்рокроЯ்роЯு роХுро│род்родிро▓் ро╡ிроЯрок்рокроЯ்роЯродு.

38) рокроЪிрокிроХ் рокெро░ுроЩ்роХроЯро▓ிрой் роЪிро▒рок்рокроо்роЪроЩ்роХро│ை ро╡ிро│роХ்роХுроХ.

  • роЗродு роЙро▓роХிрой் рооிроХрок்рокெро░ிроп рооро▒்ро▒ுроо் роЖро┤рооாрой рокெро░ுроЩ்роХроЯро▓் роЖроХுроо்.
  • роЗродு рокூрооிропிрой் рооொрод்родрок் рокро░рок்рокிро▓் рооூрой்ро▒ிро▓் роТро░ு рокроХுродிропைроХ் роХொрог்роЯுро│்ро│родு.
  • роЗродрой் ро╡роЯிро╡роо் рооுроХ்роХோрогрооாроХுроо்.
  • роЙро▓роХிрой் рооிроХ роЖро┤рооாрой рокроХுродிропாрой 'рооро░ிропாройா роЕроХро┤ி' роЗрок்рокெро░ுроЩ்роХроЯро▓ிро▓் роЕрооைрои்родுро│்ро│родு.
  • рокроЪிрокிроХ் рокெро░ுроЩ்роХроЯро▓ைроЪ் роЪுро▒்ро▒ி роОро░ிрооро▓ைроХро│் родொроЯро░்роЪ்роЪிропாроХ роЕрооைрои்родுро│்ро│родாро▓், роЗродு 'рокроЪிрокிроХ் роиெро░ுрок்рокு ро╡ро│ைропроо்' роОрой роЕро┤ைроХ்роХрок்рокроЯுроХிро▒родு.

39) рокாро░рокроЯ்роЪрод்родிро▒்роХாрой роХாро░рогроЩ்роХро│ைроХ் роХூро▒ுроХ.

рокாро░рокроЯ்роЪроо் роПро▒்рокроЯ рокро▓ роХாро░рогроЩ்роХро│் роЙро│்ро│рой. роЕро╡ро▒்ро▒ுро│் роЪிро▓:
  • роЪрооூроХроХ் роХாро░рогроЩ்роХро│்: роЪாродி, роород ро╡ேро▒ுрокாроЯுроХро│் рооро▒்ро▒ுроо் рокாро▓ிрой роПро▒்ро▒род்родாро┤்ро╡ுроХро│்.
  • рокொро░ுро│ாродாро░роХ் роХாро░рогроЩ்роХро│்: роПро┤ை, рокрогроХ்роХாро░рой் роОрой்ро▒ ро╡ேро▒ுрокாроЯு рооро▒்ро▒ுроо் ро╡ро│роЩ்роХро│ிрой் роЪроорооро▒்ро▒ рокроЩ்роХீроЯு.
  • родро╡ро▒ாрой роироо்рокிроХ்роХைроХро│்: роТро░ு роХுро┤ுро╡ைрок் рокро▒்ро▒ி роЖродாро░рооро▒்ро▒, родро╡ро▒ாрой роХро░ுрод்родுроХ்роХро│ைроХ் роХொрог்роЯிро░ுрок்рокродு.
  • ро╡ро░ро▓ாро▒்ро▒ு роиிроХро┤்ро╡ுроХро│்: роХроЯрои்родроХாро▓рок் рокோро░்роХро│் роЕро▓்ро▓родு рооுро░рог்рокாроЯுроХро│் роороХ்роХро│ிроЯைропே ро╡ெро▒ுрок்рокுрогро░்ро╡ை роПро▒்рокроЯுрод்родро▓ாроо்.

40) рокீроЯрокூрооி рокро▒்ро▒ிроХ் роХுро▒ிрок்рокு ро╡ро░ைроХ.

  • рокீроЯрокூрооி роОрой்рокродு роЪроорооாрой рооேро▒்рокро░рок்рокைроХ் роХொрог்роЯ роТро░ு роЙропро░்рои்род роиிро▓рок்рокро░рок்рокு роЖроХுроо்.
  • роЗродு ‘рооேроЪை роиிро▓роо்’ роОрой்ро▒ுроо் роЕро┤ைроХ்роХрок்рокроЯுроХிро▒родு.
  • рокீроЯрокூрооிроХро│் рокொродுро╡ாроХ рооро▓ைроХро│ை ро╡ிроЯ роЙропро░роо் роХுро▒ைрои்родро╡ை.
  • роЗрои்родிропாро╡ிро▓் роЙро│்ро│ родроХ்роХாрогрок் рокீроЯрокூрооி рооро▒்ро▒ுроо் роЪோроЯ்роЯா роиாроХ்рокூро░் рокீроЯрокூрооி роЖроХிропро╡ை роЗродро▒்роХு роЪிро▒рои்род роОроЯுрод்родுроХ்роХாроЯ்роЯுроХро│்.
  • роЗрок்рокроХுродிроХро│் роХройிроо ро╡ро│роЩ்роХро│் роиிро▒ைрои்родро╡ைропாроХроХ் роХாрогрок்рокроЯுроХிрой்ро▒рой.

VIII. роЗрои்родிроп ро╡ро░ைрокроЯрод்родிро▓் роХுро▒ி: (4x1=4)

41) роЯெро▓்ро▓ி, рооொроХроЮ்роЪродாро░ோ, роХாроЮ்роЪிрокுро░роо், ро▓ோрод்родро▓்.

  • роЯெро▓்ро▓ி: роЗрои்родிропாро╡ிрой் родро▓ைроироХро░роо்.
  • рооொроХроЮ்роЪродாро░ோ: родро▒்рокோродைроп рокாроХிро╕்родாройிро▓் роЙро│்ро│ роЪிрои்родுро╡ெро│ி роиாроХро░ிроХ роироХро░роо்.
  • роХாроЮ்роЪிрокுро░роо்: родрооிро┤்роиாроЯ்роЯிро▓் роЙро│்ро│ роТро░ு родொрой்рооைропாрой роироХро░роо்.
  • ро▓ோрод்родро▓்: роХுроЬро░ாрод்родிро▓் роЙро│்ро│ роЪிрои்родுро╡ெро│ி роиாроХро░ிроХрод் родுро▒ைрооுроХ роироХро░роо்.
6th Social Science Question Paper
6th Social Science Question Paper 6th Social Science Question Paper

6th Science - Term 1 Exam 2024 - Original Question Paper | Chengalpattu District

COMMON FIRST TERM SUMMATIVE EXAMINATION - 2024

Standard - VI

SCIENCE

Time: 2.00 hrs | Marks: 60

I Choose the correct answer. (5x1=5)

1. The height of a tree can be measured by ______.

  • a) metre scale
  • b) metre rod
  • c) plastic ruler
  • d) measuring tape
Answer: d) measuring tape

2. Unit of Speed is ______.

  • a) m
  • b) S
  • c) Kg
  • d) m/s
Answer: d) m/s

3. Seeds from watermelon can be removed by ______.

  • a) hand - picking
  • b) Filtration
  • c) magnetic separation
  • d) decantation
Answer: a) hand - picking

4. Organ of absorption is ______.

  • a) root
  • b) Stem
  • c) leaf
  • d) flower
Answer: a) root

5. The study of living beings (or) organisms is called ______.

  • a) Psychology
  • b) Biology
  • c) Zoology
  • d) Botany
Answer: b) Biology

II Fill in the blanks (5x1=5)

6. SI unit of length is metre.

7. Gravitational force is a non-contact force.

8. Matter is made up of atoms.

9. Primary organs of photosynthesis are leaves.

10. Amoeba moves with the help of pseudopodia.

III State True or False. If False, Correct the statement (5x1=5)

11. Ten millimetre makes one centimetre.

Answer: True.

12. Robots will replace human in future.

Answer: False.
Correct statement: Robots will assist humans and perform certain tasks, but they are not expected to completely replace humans in all fields.

13. Air is not compressible.

Answer: False.
Correct statement: Air is highly compressible.

14. Mountain is an example for fresh water habitat.

Answer: False.
Correct statement: Rivers, lakes, and ponds are examples of freshwater habitats. Mountains are a terrestrial habitat.

15. Paramecium is a multicellular organism.

Answer: False.
Correct statement: Paramecium is a unicellular organism.

IV Match the following (5x1=5)

16. Mountain - Himalayas
17. Desert - Dry place
18. Stem - Branches
19. Photosynthesis - Leaves
20. Fibrous root - Monocot

V Complete the analogy (5x1=5)

21. Sugar : Beam balance :: Lime juice : Measuring jar

22. Milk : Volume :: Vegetables : Mass

23. Distance : metre :: Speed : m/s

24. Solid : Rigidity :: Gas : Compressibility

25. Iodine : Goiter :: Iron : Anaemia

VI Give short answer (Any 10 only) (10x2=20)

26. Define measurement.

Measurement is the comparison of an unknown quantity with some known standard quantity.

27. Define mass.

Mass is the amount of matter contained in an object. Its SI unit is kilogram (kg).

28. Differentiate between rotational and curvilinear motion.

Rotational Motion: The motion of a body about its own fixed axis. Example: A spinning top.
Curvilinear Motion: The motion of a body along a curved path. Example: A stone thrown in the air.

29. Why do we separate mixtures?

We separate mixtures to:
1. Remove undesirable or harmful components.
2. Obtain useful components.
3. Obtain a substance in its purest form.

30. Define the term matter.

Anything that occupies space and has mass is called matter.

31. Classify the plants on the basis of their habitats.

Plants are classified based on their habitats as:
1. Aquatic Plants (Hydrophytes): Plants that live in water (e.g., Lotus).
2. Terrestrial Plants: Plants that live on land (e.g., Mango, Cactus).

32. List out the plants present in your school garden.

Some common plants found in a school garden are Rose, Hibiscus, Jasmine, Neem tree, and Mango tree. (This answer is subjective).

33. How do birds catch their prey?

Birds use their beaks and claws (talons) to catch their prey. Different beak shapes and strong talons are adapted for different types of food and prey.

34. Name the locomotory organ of Amoeba.

The locomotory organ of Amoeba is pseudopodia (false feet).

35. Define balanced diet.

A diet that contains all essential nutrients like carbohydrates, proteins, fats, vitamins, and minerals in adequate proportions for the healthy functioning of the body is called a balanced diet.

36. Mention any two viral diseases.

Two viral diseases are:
1. Common Cold
2. Influenza (Flu)

37. What is a Computer?

A computer is an electronic device that accepts data as input, processes it according to a set of instructions, and provides the result as output.

VII Answer in detail (Any 3 only) (5x3=15)

38. What is motion? Classify different types of motion with examples.

Motion is the change in the position of an object with respect to time.
Types of motion:
  • Linear motion: Motion along a straight line. (e.g., A car moving on a straight road).
  • Circular motion: Motion along a circular path. (e.g., The Earth revolving around the Sun).
  • Rotational motion: Motion of a body about a fixed axis. (e.g., A spinning fan).
  • Oscillatory motion: Repetitive to and fro motion about a mean position. (e.g., A swinging pendulum).
  • Random motion: Irregular motion without a fixed path. (e.g., A flying butterfly).

39. Distinguish the properties of solid, Liquid and gas. Draw a suitable diagram.

Property Solid Liquid Gas
Shape Definite Shape No Definite Shape No Definite Shape
Volume Definite Volume Definite Volume No Definite Volume
Compressibility Negligible Very Low High
Intermolecular Force Very strong Less strong Very weak

(A diagram showing the arrangement of particles in solid, liquid, and gas should be drawn here.)

Particle arrangement in solid, liquid, and gas

40. Make a list of the functions of root and stem.

Functions of Root:
  • It fixes the plant firmly to the soil.
  • It absorbs water and minerals from the soil.
  • Some roots store food (e.g., Carrot, Radish).
Functions of Stem:
  • It supports the branches, leaves, flowers, and fruits.
  • It transports water and minerals from the roots to the upper parts of the plant.
  • It transports food from the leaves to other parts of the plant.
  • Some stems store food (e.g., Potato, Ginger).

41. Describe the various features which help camel dwell well in the desert.

Features that help a camel survive in the desert:
  • Hump: Stores fat which provides energy and water when food is scarce.
  • Long Eyelashes: Protect the eyes from blowing sand.
  • Closable Nostrils: Prevent sand from entering the nose.
  • Wide, Padded Feet: Help to walk on sand without sinking.
  • Thick Lips: Allow it to eat thorny desert plants without injury.
  • Water Conservation: It can drink a large amount of water at once and excretes very less water as concentrated urine.

42. Tabulate the vitamins and their corresponding deficiency diseases.

Vitamin Deficiency Disease
Vitamin A Night Blindness
Vitamin B1 Beriberi
Vitamin C Scurvy
Vitamin D Rickets
Vitamin E Sterility / Infertility
Vitamin K Haemorrhage (Failure of blood clotting)

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