GSEB Class 10 Question Bank: Chapter-Wise Maths and Science Practice
A chapter-wise GSEB Std 10 question bank: three practice questions for every Maths and Science chapter with answers, and how to use it before the board exam.
This GSEB Class 10 question bank has three original practice questions for each of the 14 Maths and 13 Science chapters, with answers. GSEB's Std 10 Maths and Science follow the NCERT syllabus, so chapters are matched by name. Work through one chapter a day, check your answers, and revise any chapter where you get more than one wrong.
A good question bank lets you check every chapter quickly, find the weak ones and fix them before the board exam. This page gives you three original practice questions for every chapter of GSEB Std 10 Maths and Science, with answers. GSEB's Std 10 Maths and Science textbooks follow the NCERT syllabus, so chapters are listed by name; numbers may differ slightly in your edition. A Gujarati version of this page is also available.
How to use this question bank
- One chapter a day: answer all three questions without notes.
- Check honestly: open the answers only after you have tried.
- Mark the chapter: all correct (strong), one wrong (revise), two or more wrong (re-study).
- Return a week later to every chapter you marked for revision. Revisiting topics after a gap is what makes them stick; see how to study without forgetting.
Mathematics
Real Numbers. (1) Find the LCM of 12 and 15. (2) Write 210 as a product of primes. (3) HCF(a, b) = 4 and a × b = 192. Find LCM(a, b).
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(1) 60. (2) 2 × 3 × 5 × 7. (3) 192 ÷ 4 = 48.
Polynomials. (1) Find the zeroes of x² − 9. (2) Write a quadratic polynomial whose zeroes have sum 5 and product 6. (3) A graph of y = p(x) cuts the x-axis at three points. How many zeroes does p(x) have?
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(1) 3 and −3. (2) x² − 5x + 6. (3) Three.
Pair of Linear Equations. (1) Solve 2x + y = 7 and x − y = 2. (2) For what value of k do kx + 2y = 3 and 3x + 6y = 9 have infinitely many solutions? (3) Two numbers have sum 20 and difference 6. Find them.
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(1) Adding: 3x = 9, so x = 3, y = 1. (2) k/3 = 2/6 = 3/9, so k = 1. (3) 13 and 7.
Quadratic Equations. (1) Solve x² − 7x + 12 = 0. (2) State the nature of the roots of x² + x + 1 = 0. (3) Find k if kx² − 6x + 1 = 0 has equal roots.
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(1) 3 and 4. (2) D = 1 − 4 = −3 < 0, so no real roots. (3) 36 − 4k = 0, so k = 9.
Arithmetic Progressions. (1) Find the common difference of 10, 7, 4, … (2) How many two-digit numbers are divisible by 3? (3) Find the sum of the first 10 terms of 1, 3, 5, …
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(1) −3. (2) 12, 15, …, 99: (99 − 12)/3 + 1 = 30. (3) 10/2 × (2 + 18) = 100.
Triangles. (1) ΔABC ~ ΔPQR with AB = 4 cm, PQ = 6 cm and BC = 8 cm. Find QR. (2) In ΔABC, DE ∥ BC, AD = 2 cm, DB = 3 cm and AE = 4 cm. Find EC. (3) State the AA similarity criterion.
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(1) 8 × 6/4 = 12 cm. (2) 2/3 = 4/EC, so EC = 6 cm. (3) If two angles of one triangle are equal to two angles of another, the triangles are similar.
Coordinate Geometry. (1) Find the distance between (1, 2) and (4, 6). (2) Find the point dividing the segment joining (1, 3) and (4, 6) in the ratio 2 : 1. (3) What is the form of the coordinates of any point on the y-axis?
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(1) √(9 + 16) = 5. (2) ((2 × 4 + 1 × 1)/3, (2 × 6 + 1 × 3)/3) = (3, 5). (3) (0, y).
Introduction to Trigonometry. (1) If sin A = 3/5, find cos A (A acute). (2) Write the value of tan 60°. (3) Evaluate 2 sin 30° + cos 0°.
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(1) 4/5. (2) √3. (3) 2 × ½ + 1 = 2.
Some Applications of Trigonometry. (1) A pole's shadow is equal to its height. What is the sun's angle of elevation? (2) A kite string is 100 m long and makes 30° with the ground. How high is the kite? (3) From which line is the angle of depression measured?
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(1) 45°. (2) 100 × sin 30° = 50 m. (3) The horizontal line through the observer's eye.
Circles. (1) How many tangents can a circle have? (2) A point is 5 cm from the centre of a circle of radius 3 cm. Find the length of the tangent. (3) What is the angle between a tangent and the radius at the point of contact?
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(1) Infinitely many. (2) √(25 − 9) = 4 cm. (3) 90°.
Areas Related to Circles (π = 22/7). (1) Find the area of a circle of radius 7 cm. (2) Find the length of an arc of angle 90° in a circle of radius 14 cm. (3) Find the area of a quadrant of a circle of radius 7 cm.
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(1) 154 cm². (2) ¼ × 2 × (22/7) × 14 = 22 cm. (3) ¼ × 154 = 38.5 cm².
Surface Areas and Volumes (π = 22/7). (1) Find the volume of a cube of side 5 cm. (2) Find the curved surface area of a cone with radius 7 cm and slant height 10 cm. (3) Find the volume of a sphere of radius 3 cm.
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(1) 125 cm³. (2) πrl = (22/7) × 7 × 10 = 220 cm². (3) (4/3) × (22/7) × 27 = 36 × 22/7 ≈ 113.14 cm³.
Statistics. (1) Find the mean of 2, 4, 6, 8, 10. (2) Find the median of 3, 1, 7, 5. (3) What is the class mark of the class 10-20?
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(1) 6. (2) In order 1, 3, 5, 7: (3 + 5)/2 = 4. (3) 15.
Probability. (1) A coin is tossed once. Find P(head). (2) Two dice are thrown. Find the probability that the sum is 7. (3) A card is drawn from a well-shuffled deck of 52. Find P(king).
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(1) 1/2. (2) 6/36 = 1/6. (3) 4/52 = 1/13.
Science
Chemical Reactions and Equations. (1) Balance: H₂ + O₂ → H₂O. (2) What type of reaction occurs when quicklime reacts with water? (3) Why are packets of chips filled with nitrogen?
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(1) 2H₂ + O₂ → 2H₂O. (2) A combination reaction, which is also exothermic. (3) To prevent the fats from being oxidised, which causes rancidity.
Acids, Bases and Salts. (1) What colour does blue litmus turn in an acid? (2) Write the formula of washing soda. (3) Why does tooth decay start when the pH in the mouth falls below about 5.5?
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(1) Red. (2) Na₂CO₃·10H₂O. (3) Tooth enamel begins to corrode in that acidic environment.
Metals and Non-metals. (1) Name a metal soft enough to cut with a knife. (2) What is an alloy? Give one example. (3) Why is aluminium oxide called an amphoteric oxide?
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(1) Sodium (or potassium). (2) A uniform mixture of a metal with other metals or a non-metal, e.g. brass (copper and zinc). (3) It reacts with both acids and bases to form salt and water.
Carbon and its Compounds. (1) Write the formula of ethanol. (2) What is a saturated hydrocarbon? (3) What are the products of complete combustion of a hydrocarbon?
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(1) C₂H₅OH. (2) One with only single bonds between carbon atoms, such as ethane. (3) Carbon dioxide and water, with heat and light.
Life Processes. (1) Name the raw materials of photosynthesis. (2) Which chamber of the human heart pumps blood to the whole body? (3) Give two functions of stomata.
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(1) Carbon dioxide and water, with sunlight and chlorophyll. (2) The left ventricle. (3) Exchange of gases and loss of water vapour (transpiration).
Control and Coordination. (1) What is the basic unit of the nervous system? (2) Which gland is often called the master gland? (3) Name a plant hormone that inhibits growth.
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(1) The neuron. (2) The pituitary gland. (3) Abscisic acid.
How do Organisms Reproduce? (1) What is pollination? (2) Name an organism that reproduces by fragmentation. (3) What is the role of the placenta?
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(1) Transfer of pollen from the anther to the stigma. (2) Spirogyra. (3) It supplies nutrients and oxygen from the mother to the embryo and removes its wastes.
Heredity. (1) Who is known as the father of genetics? (2) What is a dominant trait? (3) What decides the sex of a child in humans?
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(1) Gregor Mendel. (2) A trait that shows itself even when only one copy of its gene is present. (3) The sex chromosome from the father: X gives a girl (XX), Y gives a boy (XY).
Light: Reflection and Refraction. (1) Which mirror is used in vehicle headlights? (2) Find the focal length of a lens of power +4 D. (3) State the laws of reflection.
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(1) Concave mirror. (2) f = 1/4 m = 25 cm (a convex lens). (3) The angle of incidence equals the angle of reflection, and the incident ray, reflected ray and normal lie in the same plane.
The Human Eye and the Colourful World. (1) Which part of the eye controls how much light enters? (2) Which defect of vision is corrected with a convex lens? (3) Why does the sun look reddish at sunrise?
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(1) The iris, by changing the size of the pupil. (2) Hypermetropia (far-sightedness). (3) Light travels a long path through the air; most blue light is scattered away, and mainly red light reaches us.
Electricity. (1) State Ohm's law. (2) A bulb draws 0.5 A from a 220 V supply. Find its power. (3) Why is tungsten used for bulb filaments?
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(1) At constant temperature, the current through a conductor is proportional to the potential difference across it (V = IR). (2) P = VI = 220 × 0.5 = 110 W. (3) It has a very high melting point.
Magnetic Effects of Electric Current. (1) Who first showed that an electric current produces a magnetic field? (2) Which rule gives the direction of the field around a straight current-carrying wire? (3) What colour is the insulation of the earth wire in household wiring?
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(1) Hans Christian Oersted. (2) The right-hand thumb rule. (3) Green.
Our Environment. (1) What is a food chain? (2) What is the role of decomposers? (3) Name the chemicals mainly responsible for damaging the ozone layer.
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(1) A series of organisms, each eating the one before it, through which energy passes. (2) They break down dead plants and animals and return nutrients to the soil. (3) Chlorofluorocarbons (CFCs).
After the question bank
Once every chapter is marked strong, move on to full papers: try our original GSEB Std 10 model question paper under time. For more Science practice, see our chapter-wise MCQs. Check official notices and paper styles on the GSEB website, and use the NCERT textbooks and NCERT Exemplar problems for harder questions.
Intellicamp supports GSEB Std 5 to 10 in English and Gujarati medium (see boards and standards). Take chapter-wise tests with instant marking and see your weakest chapters after each one. See how it works for students, or get practice material for weak chapters.
- Three questions per chapter is a fast, honest check of all 27 Maths and Science chapters.
- Mark each chapter strong, revise or re-study, and return to weak ones a week later.
- Move to full model papers once every chapter is strong.
Frequently asked questions
Does GSEB publish an official question bank?
GSEB publishes paper styles, notices and question papers on gseb.org. Check the website each year for official material, and use banks like this one for extra chapter-wise practice.
Is this question bank useful for Gujarati medium students?
Yes. The questions are the same for both mediums, and a Gujarati version of this page is available.
Which chapters are covered?
All 14 chapters of Std 10 Mathematics and all 13 chapters of Std 10 Science in the current NCERT-based syllabus followed by GSEB.
Is this enough to prepare for the board exam?
It is a good chapter-wise check, but also practise longer answers, full model papers and the NCERT exercises before the exam.
How should I use a question bank?
Attempt each chapter's questions without notes, check your answers, and revise the chapter in the textbook for any mistake. Return to weak chapters a week later.
Practise this chapter free
Take a short practice test on any chapter, get it marked instantly, and see exactly which topics are costing you marks.