ADITYA VIDYASHRAM RESIDENTIAL SCHOOL
PUDUCHERRY.
Academic Year: 2025-2026
FOUNDATION TEST- 01
Duration : 2 Hr Max. Marks : 100 Class : IX
MATHEMATICS (SECTION A)
The set of all integers greater than 5 but less than 6 is: a) {5} b) { } c) {6} d) {5, 6}
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Which of the following is a correct representation of a set?
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a) {1, 2, 3, 4} b) (1, 2, 3, 4) c) [1, 2, 3, 4] d) 1, 2, 3, 4
If A = {x : x is a natural number less than 10}, then A is:
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a) {1, 2, 3, 4, 5, 6, 7, 8, 9} b) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} c) {1, 2, 3, 4, 5, 6, 7, 8} d) {1, 2, 3, 4, 5, 6, 7}
If A = {2, 4, 6, 8} and B = {4, 5, 6, 7}, what is the union of A and B?
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a) {2, 4, 6, 8, 5, 7} b) {4, 6} c) {2, 4, 5, 6, 7, 8} d) {2, 4, 6, 8, 5, 7, 4}
The intersection of two sets A and B, A ∩ B, represents:
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a) All elements in A but not in B b) All elements in B but not in A
c) All elements common to both A and B d) All elements in either A or B
Which of the following sets is a null set?
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a) {1, 2, 3} b) {x : x is a square root of a negative number} c) {2, 4, 6} d) {a, b, c}
If A = {1, 2, 3} and B = {3, 4, 5}, then A - B is: a) {1, 2} b) {4, 5} c) {3} d) {1, 2, 3, 4, 5}
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The number of subsets of the set {a, b, c} is: a) 6 b) 7 c) 8 d) 4
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If A = {1, 2, 3}, B = {3, 4, 5}, and C = {5, 6, 7}, what is A ∩ B ∩ C?
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a) {3} b) {5} c) { } d) {1, 2, 3, 4, 5}
Which of the following is an example of a finite set?
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a) The set of all natural numbers b) The set of all whole numbers
c) The set of vowels in the English alphabet d) The set of all integers
Which of the following is an example of an equal set?
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a) A = {1, 2, 3}, B = {1, 2, 3, 4} b) A = {x: x is a prime number less than 10}, B = {2, 3, 5, 7}
c) A = {1, 2, 3}, B = {4, 5, 6} d) A = {a, b}, B = {a, b, c}
Which of the following sets is infinite?
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a) The set of all months in a year b) The set of even numbers greater than 10 and less than 20
c) The set of all natural numbers d) The set of days in a week
The set of all prime numbers is:
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a) Finite b) Infinite c) Equal to the set of whole numbers d) Equal to the set of natural numbers
Which of the following statements is true for infinite sets?
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a) They have a limited number of elements. b) They have an unlimited number of elements.
c) They contain no elements. d) They contain exactly 10 elements.
A set that contains no elements is called: a) Universal set b) Finite set c) Infinite set d) Null set
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The set of first 5 natural numbers in set builder form is:
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a) {x : x is a natural number and x ≤ 5} b) {x : x is a natural number and x > 5}
c) {x : x is a natural number and x ≤ 10} d) {x : x is a natural number and x < 5}
The roster form of the set of all even numbers between 1 and 10 is:
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a) {1, 3, 5, 7, 9} b) {2, 4, 6, 8} c) {2, 4, 6, 8, 10} d) {2, 4, 6, 8, 10, 12}
Which of the following is the correct set-builder form of the set of all odd numbers between 1 and 10?
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a) {x : x is an even number} b) {x : x is an odd number and 1 ≤ x ≤ 10}
c) {x : x is a prime number} d) {x : x is a number divisible by 2}
The set of natural numbers greater than 0 and less than 6 in set-builder form is:
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a) {x : x is a natural number and x ≤ 6} b) {x : x is a natural number and x > 0 and x < 6}
c) {x : x is a real number and x < 6} d) {x : x is an integer and x > 0 and x < 6}
The set of letters in the word "SET" in roster form is:
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a) {S, E, T} b) {S, E, T, S, E} c) {S, E} d) {S, E, T, S}
The set of all vowels in the word "EXAMPLE" in roster form is:
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a) {E, A, I, O, U} b) {E, A} c) {E, O} d) {A, E, I, O}
The set of all natural numbers less than 1 is: a) {1, 2, 3} b) {0, 1} c) { } d) {0}
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Which of the following is the correct expression for the commutative law of union?
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a) A ∪ B = B ∪ A b) A ∩ B = B ∪ A c) A ∪ B = A ∩ B d) A ∩ B = A ∩ A
Let A = {1, 2, 3}, B = {3, 4, 5}, and C = {1, 3, 5}. Find (A ∪ B) ∩ C.
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a) {1, 3} b) {3, 4} c) {1, 2, 3} d) {1, 3, 5}
If the set E = {red, green, blue, yellow}, how many elements does it have? a) 4 b) 3 c) 5 d) 2
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If set B = {x, y, z, p, v, y} then , n(B) = ? a) 3 b) 4 c) 5 d) 6
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Let A = {10, 20, 30} and B = {20, 40, 50}. What is A ∩ B? a) {10} b) {20} c) {30} d) {10, 20, 30}
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Let A = {1, 2} and B = {2, 3}. What is A − B (the difference of A and B)? a) {1} b) {2} c) {1, 3} d) {3}
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The null set law states that: a) A ∪ Ø = A b) A ∩ Ø = A c) A ∪ Ø = Ø d) A ∩ Ø = Ø
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According to the idempotent law of sets, which of the following is correct?
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a) A ∪ A = A b) A ∩ A = Ø c) A ∪ Ø = Ø d) A ∩ A = A
PHYSICS (SECTION B)
Which of the following is a vector derived quantity? A) Mass B) Distance C) Velocity D) Speed
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Which is not a derived unit? A) Newton B) Watt C) Ampere D) Pascal
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Area under a distance-time graph gives: A) Velocity B) Distance C) Work D) Not meaningful
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Energy has the same dimension as: A) Power B) Pressure C) Work D) Force
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1 mile ≈ how many kilometers? A) 1.2 km B) 1.6 km C) 2 km D) 0.8 km
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In a velocity-time graph, a straight inclined line shows:
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A) Zero acceleration B) Uniform acceleration C) Increasing acceleration D) Negative velocity
1 N = ? dynes A) 10⁵ B) 10⁴ C) 10³ D) 10²
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If an object covers 60 meters in 3 seconds, its speed is: A) 20 m/s B) 180 m/s C) 0.05 m/s D) 30 m/s
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Dimension of velocity is: A) [L] B) [LT⁻¹] C) [L²T⁻¹] D) [LT]
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Which unit is not from SI system? A) Kelvin B) Joule C) Calorie D) Meter
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Dimension of force is: A) [MLT⁻²] B) [ML⁻¹T²] C) [MT²L⁻²] D) [M⁻¹LT]
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A graph between velocity and time gives acceleration from:
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A) Area under curve B) Slope of graph C) Height of graph D) None of the above
Which quantity has dimension [M⁰L⁰T-1]? A) Speed B) Force C) Frequency D) Acceleration
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Which physical quantity has dimension [M1L-1T⁻²]? A) Torque B) Density C) Pressure D) Force
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In a velocity-time graph, negative slope means:
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A) Constant speed
B) Increasing speed
C) Retardation
D) Acceleration
The dimensional formula of energy is: A) [MLT⁻²] B) [ML⁻¹T⁻²] C) [M1L²T⁻²] D) [M⁻¹L²T²]
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Which of the following is dimensionless? A) Density B)Refractive index C) Speed D) Volume
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In a velocity-time graph, a horizontal line represents:
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A) Constant velocity B) Increasing velocity C) Zero velocity D) Negative acceleration
If a car travels 150 m in 10 s, its speed is: A) 5 m/s B) 15 m/s C) 10 m/s D) 20 m/s
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The slope of a distance-time graph gives: A) Velocity B) Acceleration C) Displacement D) Time
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CHEMISTRY (SECTION C)
Solids generally have a definite volume and are not easily compressed due to their closely packed particles, certain materials like
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sponges can be compressed with ease. This unusual behavior in sponges is due to their structural characteristics. When a sponge
is compressed, what is the primary reason behind this ability?
a) The particles in the sponge are far apart, allowing it to compress.
b) The sponge has a network of air pockets that collapse when pressure is applied.
c) The particles in the sponge have strong intermolecular forces, facilitating compression.
d) The sponge’s particles are arranged in a fixed, rigid pattern that allows compression.
Why does evaporation cause cooling?
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a) Evaporating molecules absorb heat from surroundings b) Evaporating molecules release heat to surroundings
c) It reduces the kinetic energy of remaining particles d) It increases the intermolecular spaces
During a laboratory experiment, a student observes that when a gas is released into an empty container, it quickly spreads out to fill the
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ume of the container. This behavior can be best explained by which of the following scenarios?
a) Low kinetic energy of particles b) Strong intermolecular forces c) Particles move rapidly in all directions d) Particles are closely
A researcher cools a sample of steam (water vapor) and observes it condensing into l liquid water. Which of the following best
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what happens to the particles the during this process? a) Kinetic energy of particles increases b) Intermolecular forces
c) Particles lose energy and move closer d) Particles gain energy and move apart
A closed container is filled with 1 liter of water and then 1 liter of alcohol is added. The final volume of the mixture is observed to be
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slightly less than 2 liters. Which of the following explanations best accounts for this observation?
a)Alcohol evaporates quickly, reducing the overall volume. b)Water molecules are smaller than alcohol molecules so they fit into
the spaces between alcohol molecules. c)The container compresses slightly under the weight of the liquid.
d)The molecules of water and alcohol pack together more closely, occupying less space due to the gaps between particles.
Why does the boiling point of water decrease at higher altitudes?
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a) Lower atmospheric pressure b) Higher atmospheric pressure c) Lower temperatures d) Higher temperatures
Which of the following is not a factor affecting evaporation?
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a) Temperature b) Surface area c) Humidity d) Volume
Particles in which state of matter have the highest kinetic energy?
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a) Solid b) Liquid c) Gas d) Plasma
Imagine you open a bottle of perfume in a closed room. The pleasant scent gradually spreads throughout the room. What's happening
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to the perfume molecules?
a) The perfume molecules move from areas with a lot of scent (high concentration) to areas with less scent (low concentration).
b) The perfume molecules move from areas with less scent (low concentration) to areas with a lot of scent (high concentration).
c) The perfume molecules don't care about scent, they just move around randomly.
d) The perfume magically fills the room.
Which of the following substances is NOT likely to undergo sublimation? a) Salt b) Mothball c) Iodine crystal d) Dry ice
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Fluorescent tubes and neon signs contain: a) Solid b) Liquid c) Gas d) Plasma
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Kelvin is the SI unit of temperature, 0° C = 273.16 K. For convenience, we take 0° C = 273 K after rounding off the decimal. The
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temperature inside a reaction chamber needs to be maintained at 20°C. To set the Kelvin value on the temperature controller, which of
the following options is the closest approximation you can use ?
A) 193 K B) 273 K C) 293 K D) 313 K
Dry ice is used to create a fog effect in stage performances. What state change is occurring?
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a) Sublimation b) Deposition c) Condensation d) Evaporation
If you heat a pan of water on the stove, the water eventually boils. What happens to the kinetic energy of the water molecules during
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this process?
a) Decreases b) Remains constant c) Increases d) decreases then increases
What happens to a gas when the pressure acting on it is increased at constant temperature?
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a) The volume of the gas increases. b) The volume of the gas decreases.
c) The temperature of the gas increases d) The state of the gas changes
When a fog forms on a cold morning, what state change is occurring?
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a) Sublimation b) Deposition c) Evaporation d) Condensation
Identify the R, S and T ( where x represents ice)
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a)condensation ,freezing and melting b)melting , condensation and freezing
c)melting ,freezing and condensation d)freezing, melting and condensation
Which of the following states of matter has the particles with the weakest forces of attraction?
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a) Solid b) Liquid c) Gas d) Plasma
Which of the following is also known as dry ice?
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a) Solid Oxygen (O2) b) Solid Carbon Dioxide (CO2) c) Solid Water (H2O) d) Solid Nitrogen (N2)
Two identical flasks contain the same amount of a liquid, but flask A has a larger surface area than flask B. Which flask will show a
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faster rate of evaporation?
a) Flask ‘A’ b) Flask ‘B’ c) Both will evaporate at the same rate. d) The rate depends on the type of liquid only.
BIOLOGY (SECTION D)
Who refined the cell theory? (a) Schleiden. (b) Schwann. (c) Rudolf Virchow. (d) Robert Hooke
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72 Which out of the following is not a function of vacuole?
(a) Storage. (b) Providing turgidity and rigidity to the cell (c) Waste excretion. (d) Locomotion
73 The energy currency of cell is (a) Mitochondria. (b) FAD. (c) ATP. (d) Glucose
Which organelle is involved in the breakdown of glucose to produce energy in the form of ATP?
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A) Nucleus B) Lysosomes C) Mitochondria D) Endoplasmic reticulum
What is the function of the chloroplast in plant cells?
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A) Regulation of cell functions B) Storage of genetic material C) Photosynthesis D) Protein synthesis
Which of the following organelles is enclosed in a single membrane?
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(a) Nuclei. (b) Lysosomes. (c) Chloroplast. (d) Mitochondria
The process by which water moves through a semi-permeable membrane from a region of higher concentration to a region of lower
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concentration, thus equalising water concentration, is called:
A. Evaporatio B. Diffusion C. Osmosis D. All of the above
Chromosomes are made up of (a) DNA. (b) Protein. (c) DNA and protein. (d) RNA
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Plasma membrane is called as Selectively permeable. b. Permeable. c. Impermeable. d. Semipermeable.
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The idea of 'Omnis Cellula e Cellula' was given by (a) Scheiden. (b) Purkinje. (c) Rudolf Virchow. (d) Schwann
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Which of these is not related to endoplasmic reticulum?
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(a) It behaves as transport channel for proteins between nucleus and cytoplasm. (c) It can be the site of energy generation.
(b) It transports materials between various regions in cytoplasm. (d) It can be the site for some biochemical activities of the cell
Choose the incorrect statements from the following steps
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a. All cells arise from pre-existing cells. B.The nucleus and cytoplasm of a living cell , altogether form the protoplasm.
C. Nucleus was discovered by Robert Brown in 1831. D Rudolf virchow proposed the cell theory.
Plasmolysis in a plant cell is defined as
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(a) Breakdown (lysis) of plasma membrane hypotonic medium (b) Shrinkage of cytoplasm in hypertonic medium
(c) Shrinkage of nucleoplasm (d) None of the above
Find out the false sentence.
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(a) Golgi apparatus is involved with the formation of lysosomes (d) Cytoplasm is known as protoplasm
(b) Nucleus, mitochondria and plastid have DNA and hence, they are able to make their own structural proteins.
(c) Mitochondria is said to be the power house of the cell as ATP is generated in them
Cell arising from pre-existing cell was stated by (a) Haeckel. (b) Hook. (c) Virchow. (d) Schleiden
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Example/s of prokaryotic cells is/are (a) Bacteria. (b) Kidney cells. (c) Interstitial cells. (d) Cork cells
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Lipid molecules in the cell are synthesized by
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(a) Smooth endoplasmic reticulum. (b) Rough endoplasmic reticulum (c) Golgi apparatus. (d) Plastids
The phenomenon in which cytoplasm shrinks in a hypertonic medium is called:
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A. Frontolysis. B. Plasmolysis. C. Acidolysis. D. Allolysis
Which of the following plastids are colourless?
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A. Chromoplasts. B. Chloroplasts. C. Leucoplasts. D. All of the above
Amoeba acquires its food through a process, termed as
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(a) Exocytosis. (b) Endocytosis. (c) Plasmolysis. (d) Exocytosis and endocytosis
Cell theory states that cells are structural and fundamental units of
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(a) Plants. (b) Animals. (c) Both plants and animals. (d) Only microorganisms
Which organelle is responsible for the synthesis and packaging of proteins for secretion?
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A) Endoplasmic reticulum. B) Ribosomes. C) Golgi apparatus. D) Mitochondria
What is the function of the nucleus in a cell?
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A) Synthesis of proteins. B) Cellular respiration
C) Control of cell activities and storage of genetic material. D) Breakdown of cellular waste
Which cell organelle is responsible for protein synthesis?
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A) Ribosomes. B) Lysosomes. C) Golgi apparatus. D) Endoplasmic reticulum
Which structure is found in plant cells but not in animal cells?
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A) Chloroplast. B) Centrioles. C) Lysosomes. D) Nucleus
Unripe fruits are green, but they develop vibrant colors when ripe. What causes this color change?
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(a) Chloroplasts transform into chromoplasts. (b) Chromoplasts transform into chromosomes.
(c) Chloroplasts transform into chromosomes. (d) Chromoplasts transform into chloroplasts
Which structure helps in the movement of chromosomes during cell division?
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A) Centrosome. B) Golgi apparatus. C) Nucleolus. D) Ribosomes
Which cell organelle contains digestive enzymes and helps in the digestion of cellular waste?
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A) Golgi apparatus. B) Endoplasmic reticulum. C) Mitochondria. D) Lysosomes
Which organelle is involved in the synthesis of lipids and detoxification of drugs?
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A) Ribosomes. B) Endoplasmic reticulum. C) Golgi apparatus. D) Nucleus
Which organelle is responsible for maintaining cell shape and providing structural support?
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A) Mitochondria. B) Cytoskeleton. C) Nucleus. D) Golgi apparatus
