Class Syllabus
Grade 10 — Maths & Science Complete NCERT-aligned chapter list for Grade 10. Every chapter has sample questions to preview. All questions are aligned with CBSE, ICSE, IB and State Board curricula. Sign up free to practise the full bank.
11,874 practice questions 37 chapters Free trial
1 Coordinate Geometry606 Qs → Sample questions
What is the distance between the points \( A(2, 3) \) and \( B(5, 7) \)?
easy Find the midpoint of the line segment joining points \( (4, 6) \) and \( (8, 10) \).
(A) \( (6, 8) \) (B) \( (12, 16) \) (C) \( (2, 4) \) (D) \( (4, 10) \) easy The slope of the line passing through points \( (1,2) \) and \( (3,6) \) is:
easy 2 Quadratic Equations600 Qs → Sample questions
What is the solution of the quadratic equation $x^2 - 4 = 0$?
(A) 2 and -2 (B) 4 and -4 (C) 0 and 4 (D) 1 and -1 easy Find the roots of the equation $x^2 + 5x + 6 = 0$.
(A) -2 and -3 (B) 2 and 3 (C) -1 and -6 (D) 1 and 6 easy If the quadratic equation is $x^2 - 6x + 9= 0$, find its root.
easy 3 Pair of Linear Equations in Two Variables549 Qs → 4 Arithmetic Progressions544 Qs → Sample questions
What is the first term (a) of the arithmetic progression (AP) 5, 8, 11, 14, ...?
easy What is the common difference (d) of the AP 3, 7, 11, 15, ...?
easy Sum of first 4 terms of the AP 1, 3, 5, 7, ... is?
easy 5 Real Numbers538 Qs → Sample questions
The square root of 16 is:
easy The number 0 is a:
(A) Natural number (B) Whole number (C) Integer (D) All of these easy Which of the following pairs are both irrational numbers?
(A) \(\sqrt{3}\) and \(\sqrt{9}\) (B) \(\sqrt{5}\) and \(\sqrt{2}\) (C) 1.5 and 2 (D) 2 and 3 easy 6 Triangles523 Qs → Sample questions
In a right-angled triangle, the side opposite the right angle is called?
(A) Adjacent side (B) Hypotenuse (C) Base (D) Perpendicular easy Which property holds true in an equilateral triangle?
(A) All sides are equal (B) All angles are 60 degrees (C) Two sides are equal (D) No sides are equal easy The perimeter of a triangle with sides 6 cm, 8 cm, and 10 cm is?
(A) 14 cm (B) 18 cm (C) 24 cm (D) 30 cm easy 7 Polynomials507 Qs → Sample questions
What is the degree of the polynomial $3x^4 + 2x^3 - x + 7$?
easy Find the value of the polynomial $P(x) = x^2 - 5x + 6$ at $x = 2$.
easy What is the coefficient of $x^2$ in the polynomial $7x^3 + 5x^2 - x + 4$?
easy 8 Circles474 Qs → Sample questions
Find the area of a circle with radius 3 cm. (Use \( \pi = 3.14 \))
(A) 28.26 cm² (B) 18.84 cm² (C) 9.42 cm² (D) 31.4 cm² easy What is the length of the radius when the area of a circle is \( 81\pi \) cm²?
(A) 9 cm (B) 18 cm (C) 36 cm (D) 81 cm easy If the radius of a circle is 0, what is the circumference?
(A) 0 (B) 1 (C) \( \pi \) (D) Undefined easy 9 Probability469 Qs → Sample questions
If a fair die is rolled once, what is the probability of getting a 4?
(A) $\frac{1}{6}$ (B) $\frac{1}{2}$ (C) $\frac{1}{4}$ (D) $\frac{3}{6}$ easy A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing a King?
(A) $\frac{1}{13}$ (B) $\frac{1}{4}$ (C) $\frac{4}{52}$ (D) $\frac{1}{52}$ easy If a box contains 3 white and 2 black balls, what is the probability of drawing a black ball?
(A) $\frac{2}{5}$ (B) $\frac{3}{5}$ (C) $\frac{1}{5}$ (D) $\frac{2}{3}$ easy 10 Areas Related to Circles468 Qs → Sample questions
What is the area of a circle with radius 7 cm? (Use \( \pi = \frac{22}{7} \))
(A) 154 cm² (B) 44 cm² (C) 77 cm² (D) 28 cm² easy The radius of a circle is 10 cm. What is the area of the circle?
(A) 100 cm² (B) 314 cm² (C) 62.8 cm² (D) 20 cm² easy Find the area of a quadrant of a circle with radius 14 cm. (Use \( \pi = \frac{22}{7} \))
(A) 154 cm² (B) 308 cm² (C) 77 cm² (D) 44 cm² easy 11 Surface Areas and Volumes463 Qs → Sample questions
Find the volume of a cuboid with length \( 5 \) cm, breadth \( 3 \) cm, and height \( 2 \) cm.
(A) 30 cm³ (B) 25 cm³ (C) 10 cm³ (D) 15 cm³ easy The radius of a sphere is \( 7 \) cm. What is its volume? (Use \( \pi = \frac{22}{7} \))
(A) 1436 cm³ (B) 1431 cm³ (C) 1434 cm³ (D) 1540 cm³ easy What is the total surface area of a cylinder with radius \( 3 \) cm and height \( 5 \) cm? (Use \( \pi = 3.14 \))
(A) 150.72 cm^2 (B) 150.72 cm² (C) 94.2 cm² (D) 113.04 cm² easy 12 Statistics460 Qs → 13 Introduction to Trigonometry452 Qs → Sample questions
In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is \(\sin \theta\)?
(A) \(\frac{3}{5}\) (B) \(\frac{5}{3}\) (C) 3 (D) 5 easy What is the value of \(\cos 0^\circ\)?
(A) 0 (B) 1 (C) \(\frac{1}{2}\) (D) \(\sqrt{3}/2\) easy If \(\tan \theta = 1\), what is \(\theta\)?
(A) 45\(^\circ\) (B) 30\(^\circ\) (C) 60\(^\circ\) (D) 90\(^\circ\) easy 14 Heights and Distances269 Qs → Sample questions
A ladder leans against a wall making an angle of elevation of 60° with the ground. If the ladder is 10 m long, what is the height at which the ladder touches the wall?
(A) 5 m (B) 8.66 m (C) 10 m (D) 6 m easy From a point on the ground, the angle of elevation to the top of a tree is 30°. If the tree is 20 m tall, how far is the point from the base of the tree?
(A) 34.64 m (B) 10 m (C) 20 m (D) 11.55 m easy An observer is standing 40 m away from a building. The angle of elevation to the top of the building is 45°. What is the height of the building?
(A) 40 m (B) 56.57 m (C) 20 m (D) 80 m easy 15 Trigonometric Identities268 Qs → Sample questions
What is the value of \( \sin^2 \theta + \cos^2 \theta \)?
(A) 0 (B) 1 (C) \tan^2 \theta (D) \sec^2 \theta easy Which of the following is equal to \( 1 + \tan^2 \theta \)?
(A) \sec^2 \theta (B) \csc^2 \theta (C) \cot^2 \theta (D) 1 easy Complete the identity: \( 1 + \cot^2 \theta = \;?\)
(A) \sec^2 \theta (B) 1 (C) \csc^2 \theta (D) \tan^2 \theta easy 16 Some Applications of Trigonometry198 Qs → Sample questions
If the height of a tree is 15 m and the angle of elevation of its top from a point on the ground is $30^\circ$, what is the distance of the point from the tree base? (Use $\tan 30^\circ = \frac{1}{\sqrt{3}}$)
(A) $15\sqrt{3}$ m (B) $5\sqrt{3}$ m (C) $15/\sqrt{3}$ m (D) $5$ m easy From the top of a building 50 m high, the angle of depression of a car on the road is $30^\circ$. How far is the car from the base of the building? (Use $\tan 30^\circ = \frac{1}{\sqrt{3}}$)
(A) $50\sqrt{3}$ m (B) $\frac{50}{\sqrt{3}}$ m (C) 25 m (D) 100 m easy If the angle of elevation of the top of a tower from a point 40 m away from its base is $45^\circ$, find the height of the tower.
(A) 40 m (B) 20 m (C) 80 m (D) 10 m easy 17 Constructions182 Qs → Sample questions
How do you construct a triangle given two sides and the included angle (SAS)?
(A) Draw one side, then construct the given angle at one endpoint, then measure the second side from the angle's vertex (B) Draw the sum of two sides and then bisect the angle between them (C) Draw any triangle and adjust sides till conditions match (D) Draw two angles and find the side between them easy Which of the following is true about the construction of a triangle given three sides (SSS)?
(A) Draw one side and use compass to locate the third vertex by arcs with radii as the other two sides (B) Draw the three sides in any order (C) Draw two angles and one side and join (D) Draw the angle bisectors first easy In constructing the angle bisector of an angle, the bisector divides the angle into two angles of?
(A) \( 90^{\circ} \) (B) \( 45^{\circ} \) (C) Equal measure (D) Complementary easy 18 General3 Qs → 19 Coordinate Geomtery1 Qs → Sample questions
A circular park, $42\ \text{m}$ in diameter, has a path $3.5\ \text{m}$ wide running round it on the outside. Find the cost of gravelling the path at Rs. $20$ per m^2
(A) Rs. 10010 (B) Rs. 10111 (C) Rs. 11012 (D) None of the above medium 1 Human Eye and the Colourful World300 Qs → Sample questions
What is the part of the eye that controls the amount of light entering it?
(A) Cornea (B) Iris (C) Lens (D) Retina easy Which part of the eye is transparent and allows light to enter the eye?
(A) Iris (B) Pupil (C) Cornea (D) Lens easy The photoreceptor cells responsible for colour vision are called:
(A) Rods (B) Cones (C) Bipolar cells (D) Ganglion cells easy 2 Light – Reflection and Refraction300 Qs → Sample questions
What is the angle of incidence if a ray of light strikes a plane mirror at 30° to the normal?
(A) 30° (B) 60° (C) 90° (D) 0° easy When light passes from a denser to a rarer medium, it:
(A) bends away from the normal (B) bends towards the normal (C) does not bend (D) stops moving easy The image formed by a plane mirror is always:
(A) virtual and erect (B) real and inverted (C) real and erect (D) virtual and inverted easy 3 Carbon and its Compounds300 Qs → Sample questions
What is the chemical formula of ethene?
(A) C$_2$H$_6$ (B) C$_2$H$_4$ (C) C$_3$H$_8$ (D) C$_2$H$_2$ easy The main constituent of LPG (liquefied petroleum gas) is:
(A) Methane (B) Propane (C) Ethene (D) Butane easy What is the IUPAC name of CH$_3$-CH$_2$-OH?
(A) Methanol (B) Ethanol (C) Ethene (D) Methane easy 4 How Do Organisms Reproduce?300 Qs → Sample questions
Which cell division process is involved in sexual reproduction?
(A) Mitosis (B) Meiosis (C) Binary fission (D) Budding easy Which organism reproduces by binary fission?
(A) Amoeba (B) Human (C) Rose (D) Frog easy Which reproductive method involves only one parent?
(A) Sexual reproduction (B) Asexual reproduction (C) Cross-pollination (D) Fertilization easy 5 Life Processes 300 Qs → Sample questions
In which of the following group/groups of animals does the heart not pump oxygenated blood to different parts of the body?
(A) Pisces only (B) Amphibians only (C) Amphibians and reptiles only (D) Pisces and amphibians easy The filtration units of kidneys are called
(A) Ureter (B) Urethra (C) Neurons (D) Nephrons easy The substance whose build-up in muscles during vigorous exercise causes cramps is
(A) Ethanol (B) Lactic acid (C) Carbon dioxide (D) Pyruvate easy 6 OUR ENVIRONMENT300 Qs → Sample questions
Which of the following is a renewable source of energy?
(A) Coal (B) Natural Gas (C) Solar Energy (D) Petroleum easy Which of these is the best method to reduce soil erosion?
(A) Planting trees (B) Using pesticides (C) Construction of factories (D) Draining wetlands easy The layer of gases surrounding the Earth is called:
(A) Hydrosphere (B) Lithosphere (C) Atmosphere (D) Biosphere easy 7 HEREDITY AND EVOLUTION300 Qs → Sample questions
Which molecule carries the hereditary information in cells?
(A) RNA (B) Protein (C) DNA (D) Lipid easy In pea plants, tallness (T) is dominant over dwarfness (t). What will be the phenotype of the hybrid plant (Tt)?
(A) Tall (B) Dwarf (C) Medium height (D) No growth easy Which process is responsible for the formation of new species over time?
(A) Heredity (B) Evolution (C) Fertilization (D) Nutrition easy 8 Periodic Classification of Elements300 Qs → Sample questions
Which of the following elements has the highest atomic number in Period 2 of the modern periodic table?
(A) Carbon (C) (B) Nitrogen (N) (C) Neon (Ne) (D) Oxygen (O) easy The atomic number of Sodium (Na) is 11. In which period and group will it be placed?
(A) Period 3, Group 1 (B) Period 2, Group 1 (C) Period 3, Group 17 (D) Period 4, Group 2 easy The elements in a group have the same:
(A) Number of valence electrons (B) Atomic number (C) Number of shells (D) Atomic mass easy 9 Electricity285 Qs → Sample questions
What is the formula to calculate electric current (I)?
(A) I = V / R (B) I = R / V (C) I = V × R (D) I = V + R easy If the voltage across a resistor is 10 V and the resistance is 2 Ω, what is the current?
(A) 5 A (B) 20 A (C) 0.2 A (D) 12 A easy What is the SI unit of electric charge?
(A) Coulomb (B) Ohm (C) Volt (D) Ampere easy 10 Chemical Reactions and Equations250 Qs → Sample questions
What is the chemical formula for water?
(A) H2O (B) CO2 (C) NaCl (D) O2 easy What type of reaction is represented by: 2H2 + O2 → 2H2O?
(A) Combination (B) Decomposition (C) Displacement (D) Redox easy Which of the following is a balanced chemical equation for the reaction between sodium and chlorine to form sodium chloride?
(A) Na + Cl → NaCl (B) 2Na + Cl2 → 2NaCl (C) Na2 + Cl2 → NaCl2 (D) Na + Cl2 → NaCl easy 11 Metals and Non-metals240 Qs → Sample questions
Which of the following is a metal?
(A) Oxygen (B) Iron (C) Chlorine (D) Carbon easy Metals can be easily drawn into thin wires, this property is called?
(A) Malleability (B) Ductility (C) Sonority (D) Conductivity easy The property of metals to produce a ringing sound when struck is called?
(A) Conductivity (B) Sonority (C) Malleability (D) Ductility easy 12 Acids, Bases and Salts240 Qs → Sample questions
Which ion is responsible for acidity in solutions?
(A) OH⁻ (B) H⁺ (C) Na⁺ (D) Cl⁻ easy What is the chemical formula of sodium hydroxide?
(A) NaCl (B) NaOH (C) H2SO4 (D) CaOH2 easy Which of these substances is a base?
(A) HCl (B) NaOH (C) H2SO4 (D) CH3COOH easy 13 Control and Coordination225 Qs → Sample questions
What is the basic unit of the nervous system?
(A) Neuron (B) Hormone (C) Gland (D) Muscle easy What type of gland secretes hormones directly into the bloodstream?
(A) Exocrine gland (B) Endocrine gland (C) Sebaceous gland (D) Sweat gland easy Which hormone is released during stress and increases heart rate?
(A) Adrenaline (B) Insulin (C) Thyroxine (D) Testosterone easy 14 Magnetic Effects of Electric Current 150 Qs → Sample questions
The magnetic effect of electric current was discovered by
(A) Faraday (B) Oersted (C) Maxwell (D) Ampere easy A current-carrying conductor produces
(A) Heat only (B) Magnetic field only (C) Electric field only (D) Magnetic field around it easy The magnetic field lines around a straight current-carrying conductor are
(A) Straight lines (B) Elliptical lines (C) Concentric circles (D) Radial lines easy 15 Management of Natural Resources150 Qs → Sample questions
Which of the following is a renewable resource?
(A) Coal (B) Petroleum (C) Wildlife (D) Natural Gas easy Which of the following is a non-renewable resource?
(A) Water (B) Forest (C) Wind (D) Coal easy Rainwater harvesting is mainly done to:
(A) Generate electricity (B) Recharge groundwater (C) Catch fish (D) Produce crops easy 16 Magnetic effect and current150 Qs → Sample questions
What causes a magnetic field around a conductor?
(A) Electric current flowing through it (B) The temperature of the conductor (C) The length of the conductor (D) The color of the conductor easy The magnetic field around a straight current-carrying conductor has the shape of:
(A) Concentric circles (B) Straight lines (C) Elliptical loops (D) Random patterns easy The strength of the magnetic field around a current-carrying wire depends on:
(A) Current flowing through the wire (B) The color of the wire (C) The material of the wire (D) The temperature of the wire easy 17 Life Process150 Qs → Sample questions
In which organ does digestion of proteins primarily occur in humans?
(A) Stomach (B) Small Intestine (C) Large Intestine (D) Mouth easy Which blood cells help in fighting infections?
(A) Red blood cells (B) Platelets (C) White blood cells (D) Plasma easy The basic structural and functional unit of life is:
(A) Organ (B) Tissue (C) Organelle (D) Cell easy 18 Sources of Energy60 Qs → Sample questions
The major constituent of biogas is
(A) Ethane (B) Methane (C) Propane (D) Butane easy Biogas is formed in the
(A) Presence of air only (B) Absence of air only (C) Presence of oxygen only (D) Open atmosphere easy Which of the following is a better fuel than animal dung cake?
(A) Coal (B) Biogas (C) Wood (D) Kerosene easy Start mastering Grade 10 today Free signup — includes AI doubt solver, gamified practice & leaderboards.
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