In short: JAC (Jharkhand Academic Council) releases official model papers for Class 10 and Class 12 on jac.jharkhand.gov.in before the board exams. Recent JAC papers have two parts: an objective section answered on an OMR sheet, and a subjective section written in the answer booklet. This guide gives you answered practice sets in the same format for Class 10 (Maths, Science, Social Science) and Class 12 (Physics, Chemistry, Biology, Accountancy). It also explains how to download the official papers and a 6-week practice schedule.
JAC Paper Format 2027 — What to Expect
| Feature | Class 10 (Matric) | Class 12 (Intermediate) |
|---|---|---|
| Theory marks | 80 per main subject | 70 (Science with practical), 80 (Maths, Commerce, Arts) |
| Internal / practical | 20 | 30 practical (Science) / 20 internal |
| Objective section | OMR sheet (MCQ) | OMR sheet (MCQ) |
| Subjective section | Very short, short, long answers | Very short, short, long answers |
| Duration | 3 hours + reading time | 3 hours + reading time |
| Pass marks | 33% per subject | 33% per subject |
| Exam window | February 2027 (expected) | February 2027 (expected) |
Important: The objective share varies by subject and year. Some recent papers had about half the theory marks as MCQs. Confirm the exact split in the official 2027 model paper for each subject.
How to Download Official JAC Model Papers
- Open jac.jharkhand.gov.in
- Go to the "Model Question" or "Model Paper" section (sometimes under Notices)
- Select Class 10 (Matric) or Class 12 (Intermediate: Science / Commerce / Arts)
- Download the subject-wise PDF
- Print it and solve it in one 3-hour sitting
Your school can also give you printed JAC model papers. Avoid random sites that re-upload old papers under a new year.
Class 10 Maths — Practice Set
Objective (OMR) — Sample 10 Questions
| # | Question | Options | Answer |
|---|---|---|---|
| 1 | HCF of 26 and 91 | (a) 13 (b) 26 (c) 7 (d) 1 | (a) 13 |
| 2 | Product of zeroes of 2x² − 8x + 6 | (a) 4 (b) 3 (c) −3 (d) 6 | (b) 3 |
| 3 | Roots of x² − 9 = 0 | (a) ±3 (b) 3 only (c) 9 (d) ±9 | (a) ±3 |
| 4 | 15th term of 2, 5, 8, ... | (a) 44 (b) 45 (c) 47 (d) 42 | (a) 44 |
| 5 | Distance between (0, 0) and (5, 12) | (a) 13 (b) 17 (c) 7 (d) 12 | (a) 13 |
| 6 | sec²θ − tan²θ equals | (a) 0 (b) 1 (c) −1 (d) 2 | (b) 1 |
| 7 | Angle between a tangent and the radius at the point of contact | (a) 45° (b) 60° (c) 90° (d) 180° | (c) 90° |
| 8 | Circumference of a circle of radius 14 cm (π = 22/7) | (a) 44 (b) 88 (c) 616 (d) 154 | (b) 88 cm |
| 9 | Curved surface area of a cylinder | (a) πr²h (b) 2πrh (c) 2πr(r + h) (d) πrl | (b) 2πrh |
| 10 | Probability of getting an even number on a die | (a) 1/6 (b) 1/3 (c) 1/2 (d) 2/3 | (c) 1/2 |
Subjective — Sample Questions With Answers
Q1 (2 marks). Find the LCM of 12, 15 and 21. 12 = 2² × 3, 15 = 3 × 5, 21 = 3 × 7. LCM = 2² × 3 × 5 × 7 = 420.
Q2 (2 marks). For what value of k does 2x² + kx + 3 = 0 have equal roots? D = k² − 24 = 0, so k = ±2√6.
Q3 (3 marks). The sum of the first n terms of an AP is 3n² + 5n. Find its 10th term. a₁₀ = S₁₀ − S₉ = (300 + 50) − (243 + 45) = 350 − 288 = 62.
Q4 (3 marks). Prove: (sin A + cos A)² + (sin A − cos A)² = 2. Expanding: (sin²A + cos²A + 2 sin A cos A) + (sin²A + cos²A − 2 sin A cos A) = 1 + 1 = 2. Hence proved.
Q5 (5 marks). A tower stands on level ground. From a point 30 m from its foot, the angle of elevation of the top is 30°. Find the height. tan 30° = h/30, so h = 30/√3 = 10√3 ≈ 17.32 m.
Q6 (5 marks). Find the median of the following data.
| Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
|---|---|---|---|---|---|
| f | 6 | 9 | 10 | 8 | 7 |
Cumulative frequencies: 6, 15, 25, 33, 40. n/2 = 20, so the median class is 40-60 (l = 40, cf = 15, f = 10, h = 20). Median = 40 + [(20 − 15)/10] × 20 = 40 + 10 = 50.
Class 10 Science — Practice Set
Objective (OMR) — Sample 10 Questions
| # | Question | Answer |
|---|---|---|
| 1 | Chemical formula of washing soda | Na₂CO₃·10H₂O |
| 2 | Colour of phenolphthalein in a basic solution | Pink |
| 3 | Power of a lens of focal length +50 cm | +2 D |
| 4 | Defect corrected by a concave lens | Myopia (short-sightedness) |
| 5 | Unit of electric power | Watt |
| 6 | Gas that turns lime water milky | CO₂ |
| 7 | Plant hormone that promotes cell division | Cytokinin |
| 8 | Functional unit of the kidney | Nephron |
| 9 | Ratio of tall to dwarf plants in Mendel's F₂ generation | 3 : 1 |
| 10 | The ozone layer protects us from | UV radiation |
Subjective — Sample Questions With Answers
Q1 (2 marks). Write a balanced equation for the reaction of zinc with dilute sulphuric acid. Zn + H₂SO₄ → ZnSO₄ + H₂↑
Q2 (2 marks). Why does the sky appear blue? Air molecules scatter shorter (blue) wavelengths of sunlight much more than longer (red) wavelengths. This scattered blue light reaches our eyes from all directions.
Q3 (3 marks). A wire of resistance 10 Ω carries a current of 2 A for 5 minutes. Find the heat produced. H = I²Rt = 2² × 10 × 300 = 12,000 J (12 kJ).
Q4 (3 marks). Differentiate between aerobic and anaerobic respiration.
| Aerobic | Anaerobic |
|---|---|
| Needs oxygen | Happens without oxygen |
| Products: CO₂ + H₂O | Products: ethanol + CO₂ (yeast) or lactic acid (muscles) |
| Releases much more energy | Releases less energy |
Q5 (5 marks). Draw a ray diagram of image formation by a concave mirror when the object is between C and F. State the nature of the image. Draw two rays: one parallel to the principal axis that reflects through F, and one through C that reflects back on itself. The image forms beyond C. It is real, inverted and magnified.
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Class 10 Social Science — Practice Set
| # | Question | Marks | Answer Points |
|---|---|---|---|
| 1 | Who wrote "Hind Swaraj"? | 1 | Mahatma Gandhi (1909) |
| 2 | Which state is the largest producer of coal in India? | 1 | Jharkhand is among the leading coal producers (Jharia, Bokaro, Karanpura coalfields) |
| 3 | What is a "coalition government"? | 2 | A government formed by two or more parties together when no single party gets a majority |
| 4 | Why is the tertiary sector growing in India? | 3 | Basic services (health, education), growth of agriculture/industry creating demand for transport and trade, rising incomes, IT services |
| 5 | Explain three effects of the Non-Cooperation Movement on the economy. | 3 | Boycott of foreign cloth, imports fell, khadi demand rose, liquor shops picketed |
| 6 | Describe three methods of soil conservation. | 3 | Contour ploughing, terrace farming, shelter belts / strip cropping |
| 7 | Explain the main features of federalism. | 5 | Multiple levels of government, constitutional division of powers, rigid amendment process, independent judiciary, financial autonomy |
| 8 | Map: mark Jharia coalfield, Bokaro steel plant and the Damodar river on India's map | 3 | Practise on a blank outline map |
Jharkhand angle: Questions on minerals, coal, iron and steel (Jamshedpur, Bokaro) and the Damodar Valley often connect directly to your home state. Learn these well.
Class 12 Physics — Practice Set
Objective (OMR) — Sample Questions
| # | Question | Answer |
|---|---|---|
| 1 | SI unit of electric flux | N m² C⁻¹ (or V m) |
| 2 | Capacitance of a parallel plate capacitor | C = ε₀A/d |
| 3 | Drift velocity is proportional to | Current density / electric field |
| 4 | Lenz's law is a consequence of the conservation of | Energy |
| 5 | Waves used in RADAR | Microwaves |
| 6 | Fringe width in YDSE | β = λD/d |
| 7 | De Broglie wavelength | λ = h/p |
| 8 | Majority carriers in a p-type semiconductor | Holes |
Subjective — Sample Questions With Answers
Q1 (3 marks). Two charges of +4 μC and −4 μC are 3 cm apart. Find the force between them. F = kq₁q₂/r² = (9 × 10⁹ × 16 × 10⁻¹²) / (9 × 10⁻⁴) = 160 N (attractive).
Q2 (3 marks). A convex lens of focal length 10 cm forms an image of an object placed 15 cm away. Find v and m. 1/v = 1/f + 1/u = 1/10 − 1/15 = 1/30, so v = 30 cm. m = v/u = 30/(−15) = −2 (real, inverted, magnified).
Q3 (5 marks). Derive the expression for the fringe width in Young's double slit experiment. Path difference at point P on the screen = yd/D.
- For a bright fringe: yd/D = nλ, so yₙ = nλD/d
- Fringe width β = yₙ₊₁ − yₙ = λD/d
Draw the setup: source, double slit (separation d), screen at distance D, and point P at height y.
Class 12 Chemistry — Practice Set
| # | Question | Marks | Answer |
|---|---|---|---|
| 1 | What is the van't Hoff factor for NaCl (complete dissociation)? | 1 | i = 2 |
| 2 | Give the IUPAC name of [Co(NH₃)₆]Cl₃ | 1 | Hexaamminecobalt(III) chloride |
| 3 | A first-order reaction has k = 0.0693 min⁻¹. Find the half-life. | 2 | t½ = 0.693/k = 10 min |
| 4 | Write the Cannizzaro reaction of HCHO. | 2 | 2HCHO + conc. NaOH → CH₃OH + HCOONa |
| 5 | Why are transition metal ions coloured? | 3 | Partly filled d-orbitals allow d-d transitions. They absorb visible light and show the complementary colour |
| 6 | Calculate the EMF of a Daniell cell at 298 K if [Zn²⁺] = 0.1 M, [Cu²⁺] = 1 M, E°cell = 1.10 V. | 3 | E = 1.10 − (0.059/2) log(0.1/1) = 1.10 + 0.0295 = 1.1295 V |
| 7 | Distinguish between SN1 and SN2 mechanisms. | 3 | SN1: two steps, carbocation intermediate, racemisation, favoured by 3° halides. SN2: one step, inversion of configuration, favoured by 1° halides |
Class 12 Biology — Practice Set
| # | Question | Marks | Answer Points |
|---|---|---|---|
| 1 | What is the ploidy of endosperm in angiosperms? | 1 | Triploid (3n) |
| 2 | Name the enzyme that joins DNA fragments. | 1 | DNA ligase |
| 3 | What is a test cross? | 2 | Crossing an F₁ individual with a homozygous recessive parent to find its genotype |
| 4 | Explain double fertilisation. | 3 | One male gamete fuses with the egg (syngamy, forms the 2n zygote). The other fuses with the two polar nuclei (triple fusion, forms the 3n endosperm) |
| 5 | Give the steps of PCR. | 3 | Denaturation (~94°C), annealing of primers (~50-60°C), extension by Taq polymerase (~72°C), repeated for many cycles |
| 6 | Explain the lac operon with a diagram. | 5 | Regulator gene makes a repressor that binds the operator and stops transcription. Lactose (inducer) binds the repressor and removes it. Structural genes z, y, a are transcribed |
Class 12 Accountancy — Practice Set
Q1 (3 marks). Calculate goodwill at 2 years' purchase of average profit. Profits of the last 3 years: ₹40,000, ₹50,000, ₹60,000. Average profit = 1,50,000/3 = ₹50,000. Goodwill = 50,000 × 2 = ₹1,00,000.
Q2 (3 marks). A and B share profits 3:2. C is admitted for a 1/5 share, which he takes equally from A and B. Find the new ratio. C takes 1/10 from each. A = 3/5 − 1/10 = 5/10. B = 2/5 − 1/10 = 3/10. C = 2/10. New ratio A : B : C = 5 : 3 : 2.
Q3 (4 marks). Find the current ratio. Current assets = ₹2,40,000, current liabilities = ₹1,20,000. If the company pays ₹20,000 to creditors, what is the new ratio? Current ratio = 2,40,000/1,20,000 = 2 : 1. After payment: 2,20,000/1,00,000 = 2.2 : 1.
6-Week Model Paper Schedule
| Week | Class 10 | Class 12 |
|---|---|---|
| 1 | Official JAC model papers: Maths + Science | Official JAC model papers: Physics + Maths/Accountancy |
| 2 | Official model papers: SST + Hindi + English | Official model papers: Chemistry + Biology/BST |
| 3 | Previous year paper set 1 (all subjects) | Previous year paper set 1 (all subjects) |
| 4 | Revise weak chapters found in weeks 1-3 | Revise weak chapters found in weeks 1-3 |
| 5 | Previous year paper set 2 + OMR practice | Previous year paper set 2 + OMR practice |
| 6 | Practice sets from this guide + light revision | Practice sets from this guide + light revision |
Rule: After every paper, list each mark you lost and why (concept gap, silly mistake, time). Fix the concept gaps before the next paper.
Frequently Asked Questions
When does JAC release the 2027 model papers?
JAC usually publishes model papers on jac.jharkhand.gov.in a few months before the February board exams, often between October and December. Check the Notices section regularly, and ask your school, which also receives copies.
Does the JAC model paper match the real exam?
The official JAC model paper follows the same pattern, sections and marks distribution as the real exam. The actual questions differ, but the type and difficulty are similar. It is the most reliable practice material available.
How should I fill the JAC OMR sheet?
Use a blue or black ballpoint pen. Fill the correct bubble completely. Do not tick, cross or partly fill it. Never overwrite or use whitener. Write your roll number and booklet series carefully, because errors here can cause your OMR to be rejected.
Is there negative marking in JAC objective questions?
JAC has generally not used negative marking in its board exam MCQs. Attempt every objective question. Confirm in the instructions printed on your 2027 question paper.
Are JAC Class 10 papers based on NCERT?
Yes. JAC Class 10 Maths, Science and Social Science follow NCERT. Many objective questions come directly from NCERT lines, tables and in-text questions. Read NCERT closely before using a guidebook.
How many model papers should I solve?
Solve at least 3 papers per subject: the official JAC model paper, the previous year paper, and one practice set. Students aiming for 85%+ should do 5 or more per main subject.
Related Guides
JAC Class 10 Chapter-Wise Weightage | JAC Class 10 Important Questions Hindi | JAC Class 12 Important Questions | JAC Class 12 Science Preparation | JAC Date Sheet 2027
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