Q1. Write the fraction represented by 3 parts out of 8 equal parts.

Q2. Name the common denominator of 2/5 and 3/10.

Q3. A tank is 3/5 full. After 120 L is added it becomes 4/5 full. Find the tank's capacity.

Q4. Find the area of a rectangle of length 15 cm and breadth 6 cm.

Q5. Arrange 5/8, 3/4 and 7/12 in ascending order.

Q6. A square has perimeter 52 cm. Find its side and area.

Q7. Find the HCF of 36 and 48 using a suitable method.

Q8. A ribbon 9 m long is used equally to make 12 decorations. What length is used for each?

Q9. A rectangular park is 28 m by 18 m. A path 2 m wide is made inside along all four sides. Find the area left for grass.

Q10. Find the measure of the complement of 37°.

Q1. The 1st four terms of a pattern are 3, 8, 15, 24. Find the next two terms and explain the pattern.

Q2. Write the next term of 7, 12, 17, 22, …

Q3. Write an expression for 'three times a number decreased by 7'.

Q4. Find the 10th term of 5, 9, 13, 17, …

Q5. Simplify 8+4×3−5.

Q6. A town has 48,750 people and another has 36,925. Find the total population.

Q7. A pattern begins 1, 4, 9, 16, 25. Find the next two terms and state the rule.

Q8. A number is multiplied by 4 and then 7 is added. The result is 35. Find the number.

Q9. Evaluate 18−6÷3.

Q10. A shopkeeper has 75,600 pencils and packs them equally into 84 boxes. How many pencils are in each box?

Q1. A sum of ₹1,080 is divided between A and B in the ratio 5:7. Find both shares.

Q2. Find the cube root of 1000.

Q3. How many degrees are there in the sum of the interior angles of a quadrilateral?

Q4. Write 0.00056 in scientific notation.

Q5. Find √1296.

Q6. Simplify 3⁵÷3².

Q7. Three angles of a quadrilateral are 72°, 88° and 115°. Find the fourth angle.

Q8. Divide 840 in the ratio 3:4.

Q9. The angles of a quadrilateral are in the ratio 2:3:4:6. Find all four angles.

Q10. Find 2⁶.

Q1. Is √19 rational or irrational?

Q2. Prove that √13 is irrational.

Q3. Which quadrant contains (−4,−7)?

Q4. Write one irrational number between 5 and 6.

Q5. Find the zero of 5x−35.

Q6. Find the distance between (−2,3) and (−2,11).

Q7. Express 0.363636… as a fraction.

Q8. Find the midpoint of A(−7,5) and B(9,−3).

Q9. Find p(−3) for p(x)=4x−7.

Q10. A point P divides A(−5,2) and B(7,8) internally in the ratio 1:2. Find P.

Q1. In triangles ABC and DEF, ∠B=∠E, ∠F=∠C and AB=3DE. Then the two triangles are:

Q2. If a line is drawn parallel to one side of a triangle, state the theorem concerning the other two sides.

Q3. State and prove the Basic Proportionality Theorem.

Q4. Find the zeroes of x²−13x+40.

Q5. Solve 3x+2y=13 and x−y=1.

Q6. Find the 16th term of the AP 7,11,15,19,…

Q7. Solve x²−11x+30=0.

Q8. If tan θ=5/12 for an acute angle, find sec θ.

Q9. Find the distance between (−3,5) and (5,5).

Q10. A cylinder of radius 7 cm and height 12 cm has a hemisphere of the same radius attached to one end. Find the total surface area of the solid.

Q1. If P(A)=0.42, find P(A′).

Q2. If A={2,4,6} and B={4,6,8}, find A∩B.

Q3. Two fair dice are thrown. Find the probability that the sum is 9.

Q4. Find 5!.

Q5. A die is thrown once. Find the probability of getting a multiple of 3.

Q6. For R={(1,3),(2,5),(3,7)}, state the domain and range.

Q7. Find the sum of the first 15 terms of 4,7,10,13,…

Q8. How many 3-letter arrangements can be made from 7 distinct letters without repetition?

Q9. In a class of 80 students, 46 study Maths, 35 study Science and 18 study both. Find the number studying neither.

Q10. Find the 11th term of 6,10,14,18,…

Q1. Evaluate ∫(5x²−4x) dx.

Q2. Find ∫ dx/(1+x²).

Q3. Find the domain of f(x)=cos⁻¹(x²−4).

Q4. Evaluate tan⁻¹(1).

Q5. Find the determinant | 3 2 ; 5 4 |.

Q6. Differentiate x⁴−6x²+2x−1.

Q7. Find the critical points of x³−3x²−9x+4.

Q8. For real x, let f(x)=x³+5x+1. State whether f is one-one and onto on R.

Q9. Show that f:R→R defined by f(x)=4x³−5 is one-one and onto.

Q10. Find the maximum value of f(x)=−x²+8x−7.

Q1. Name one material that is magnetic.

Q2. A student has sand, salt and iron filings. Describe a sequence that separates all three.

Q3. Name one nutrient that helps in body growth.

Q4. What is the instrument used to measure length?

Q5. Give one example of a transparent material.

Q6. Explain why different materials are selected for different uses.

Q7. A cyclist travels 180 m in 30 s. Find the average speed.

Q8. Explain how a compass helps in finding direction.

Q9. What is a scientific observation?

Q10. Explain how a fair test can be designed to compare the strength of two magnets.

Q1. What colour does blue litmus turn in an acid?

Q2. Name one metal that is a good conductor of electricity.

Q3. What does red litmus indicate when it turns blue?

Q4. Name one property of metals that allows them to be drawn into wires.

Q5. Why is copper used for electrical wires?

Q6. Explain how an indicator helps distinguish acidic and basic solutions.

Q7. Compare metals and non-metals on conductivity and malleability.

Q8. An iron nail is placed in copper sulphate solution. Describe the expected change.

Q9. A liquid turns blue litmus red and reacts with a metal releasing gas. Explain what these observations indicate.

Q10. Explain why highly reactive metals cannot be obtained by reducing their oxides with carbon.

Q1. Name one example of a compound.

Q2. A mixture contains salt and sand. Describe how both can be recovered.

Q3. What is the SI unit of pressure?

Q4. Name one conductor of electricity.

Q5. Differentiate between an element and a compound.

Q6. Why can a compass needle be affected near a current-carrying conductor?

Q7. Classify iron, water and air as element, compound or mixture.

Q8. Explain how pressure differences create winds.

Q9. What is friction?

Q10. Explain why a current-carrying conductor produces a magnetic effect and how it can be detected.

Q1. Name the tissue that transports water in plants.

Q2. Explain how meristematic tissue contributes to plant growth and how it differs from permanent tissue.

Q3. Name one method for separating an insoluble solid from a liquid.

Q4. Write the SI unit of work.

Q5. Differentiate between xylem and phloem.

Q6. A car changes velocity from 6 m/s to 26 m/s in 5 s. Find its acceleration.

Q7. Explain why filtration cannot separate dissolved salt from water.

Q8. A 3 kg object is lifted 4 m. Take g=10 m/s². Find the work done.

Q9. Define acceleration.

Q10. A 2 kg body moves at 8 m/s. Calculate its kinetic energy and explain what happens to it if the speed is doubled.

Q1. Explain why electrical appliances are connected in parallel in domestic circuits.

Q2. A wire of resistance R is cut into three equal parts and the parts are connected in parallel. Find the equivalent resistance.

Q3. State two applications of Joule's heating in a domestic electric circuit.

Q4. Write the relationship between resistance and resistivity of a cylindrical conductor.

Q5. Balance: Fe + H₂O → Fe₃O₄ + H₂.

Q6. Why does an acid conduct electricity in aqueous solution?

Q7. Differentiate between arteries and veins.

Q8. State one function of the iris.

Q9. Which observation indicates a chemical change when dilute sulphuric acid reacts with zinc granules?

Q10. Explain how decomposers help recycle nutrients in an ecosystem.

Q1. What is a physical quantity?

Q2. Name one fundamental quantity.

Q3. Why are standard units necessary?

Q4. Name one fundamental interaction in nature.

Q5. Differentiate between observation and inference in physics.

Q6. Explain why experiments are important in the development of physical laws.

Q7. What is meant by an idealisation in physics? Give one example.

Q8. Explain how a physical model can simplify a complex real system.

Q9. A measurement is written as 6.20 cm. Explain what the last significant digit represents.

Q10. Explain why a law or model may have a limited range of validity even when it successfully describes many observations.

Q1. Define molar mass.

Q2. How many moles are present in 36 g of water?

Q3. State the law of definite proportions.

Q4. What is Avogadro's number?

Q5. Calculate the molar mass of CaCO₃.

Q6. Differentiate between empirical and molecular formula.

Q7. Find the number of molecules in 0.25 mol of CO₂.

Q8. A compound contains 40% C, 6.67% H and 53.33% O. Find its empirical formula.

Q9. A sample contains 6.022×10²³ molecules of nitrogen gas. Find the number of moles.

Q10. Explain the limiting-reagent concept using a balanced chemical equation and describe how it determines maximum product.

Q1. Define electric potential difference.

Q2. Write the SI unit of capacitance.

Q3. State Coulomb's law.

Q4. What is an equipotential surface?

Q5. Write Q=CV and explain each symbol.

Q6. Two capacitors of 3 μF and 6 μF are connected in parallel. Find the equivalent capacitance.

Q7. Find the electric field due to a point charge q at distance r in vacuum.

Q8. A 4 μF capacitor is connected to 18 V. Find the charge stored.

Q9. Using Gauss's law, explain the electric field outside a uniformly charged spherical shell.

Q10. Two capacitors 2 μF and 4 μF are connected in series across 18 V. Find the equivalent capacitance and charge on each.

Q1. Define molarity.

Q2. Define molality.

Q3. What is electrode potential?

Q4. State Faraday's first law of electrolysis.

Q5. State Raoult's law for an ideal solution.

Q6. Calculate E°cell when E°cathode=0.76 V and E°anode=0.34 V.

Q7. Why does molar conductivity increase on dilution?

Q8. Explain why a non-volatile solute lowers the vapour pressure of a solution.

Q9. Derive the relation ΔG°=−nFE°cell and explain the sign of ΔG° for a spontaneous cell reaction.

Q10. A cell has E°cell=1.10 V and n=2. Calculate ΔG° and interpret the result.