Q1. Write a fraction equivalent to 5/8 with denominator 40.

Q2. Convert 3 2/5 into an improper fraction.

Q3. Find the perimeter of a square whose side is 9 cm.

Q4. Which is greater: 7/12 or 5/8?

Q5. Add 5/6 and 7/12.

Q6. A rectangular garden is 15 m long and 9 m wide. Find its perimeter.

Q7. A ribbon 4 1/2 m long is cut into pieces of 3/4 m each. How many complete pieces can be made?

Q8. A square and a rectangle have the same perimeter of 36 cm. If the rectangle has length 11 cm, find its breadth and compare their areas.

Q9. A square and a rectangle have the same perimeter of 36 cm. If the rectangle has length 11 cm, find its breadth and compare their areas.

Q10. A rectangular sheet is 20 cm × 14 cm. A square of side 6 cm is cut from one corner. Find the area and perimeter of the remaining shape.

Q1. Write the next term: 6, 11, 16, 21, …

Q2. Evaluate 18 − 3 × 4.

Q3. Find the next two terms: 2, 6, 12, 20, …

Q4. Write an algebraic expression for 7 less than 4x.

Q5. Simplify: 24 ÷ 6 + 7 × 2.

Q6. A sequence starts at 9 and increases by 7 each time. Find its 8th term.

Q7. Evaluate 5(3+4)−6.

Q8. A pattern has terms 1, 4, 9, 16, 25, … . Find its 15th term and state the rule.

Q9. A shop records ₹18,450, ₹21,375 and ₹16,925 on three days. Find the total and average daily sale.

Q10. A number is written using two digits. Explain how place value helps determine its value, then form the greatest and smallest 4-digit numbers using 3, 5, 7 and 9 without repetition.

Q1. Find 2⁵.

Q2. Find the cube of 7.

Q3. How many sides does a quadrilateral have?

Q4. Write 0.00056 in scientific notation.

Q5. Find the square root of 529.

Q6. Simplify 3² × 3⁴.

Q7. Find the missing angle of a quadrilateral if the other three angles are 85°, 105° and 120°.

Q8. A quantity of 360 is divided in the ratio 4:5. Find both shares.

Q9. The angles of a quadrilateral are 75°, 95°, 110° and x°. Find x and verify the angle-sum property.

Q10. A quadrilateral has angles in the ratio 2:3:4:6. Find all four angles and state which angle is the largest.

Q1. Is √11 rational or irrational?

Q2. Find p(−3) if p(x)=2x+7.

Q3. Which quadrant contains the point (−4,5)?

Q4. Write one irrational number between 5 and 6.

Q5. Find the zero of 5x−20.

Q6. Find the distance between (−2,4) and (−2,−5).

Q7. Express 0.363636… as a fraction in simplest form.

Q8. A point P divides A(−3,2) and B(7,2) internally in the ratio 2:3. Find P.

Q9. A point divides A(−4,3) and B(8,3) internally in the ratio 1:2. Find its coordinates.

Q10. A linear polynomial has zero 3 and value 9 at x=0. Find the polynomial and verify both conditions.

Q1. In the 2025 CBSE paper, which statement about two right triangles is correct?

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

Q3. The midpoint of P(−4,5) and Q(4,6) lies on which axis?

Q4. If 7+4 sin θ=9 for an acute angle θ, find θ.

Q5. Find the zeroes of 2x²−7x+3.

Q6. Solve 3x+2y=12 and x−y=1.

Q7. Find the 18th term of the AP 5,9,13,…

Q8. If tan θ=5/12 for an acute θ, find sin θ and cos θ.

Q9. Prove the Basic Proportionality Theorem: a line parallel to one side of a triangle divides the other two sides proportionally.

Q10. A cone of height 12 cm and slant height 13 cm is placed on a hemisphere of the same radius. Find the total height of the solid.

Q1. If P(A)=0.42, find P(A′).

Q2. Find A∪B for A={1,2,4} and B={2,3,5}.

Q3. Find the 11th term of the AP 7,11,15,…

Q4. How many arrangements can be made using 5 distinct books?

Q5. A die is thrown once. Find the probability of getting a number greater than 3.

Q6. For R={(1,3),(2,5),(4,7)}, write the domain and range.

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

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

Q9. In a class of 50 students, 28 like Maths, 24 like Science and 9 like both. Find the number who like neither.

Q10. If n(A)=32, n(B)=25 and n(A∩B)=9, find n(A∪B) and explain the set formula used.

Q1. Evaluate ∫ 3x² dx.

Q2. Evaluate ∫(2x+5) dx.

Q3. Evaluate ∫₀¹ 4x³ dx.

Q4. Find ∫ dx/(1+x²).

Q5. For real x, let f(x)=x³+5x+1. State whether f is one-one and onto on R.

Q6. Let A and B be square matrices of the same order such that AB=A and BA=B. Find A²+B².

Q7. If A and B are square matrices of order 3 with |A|=3 and |B|=5, find |2AB|.

Q8. Let A be a 3×3 diagonal matrix with diagonal entries 1, 5 and −2. Find |A|.

Q9. Let R be a relation over N defined by mRn iff m is a multiple of n. Determine whether R is reflexive, symmetric and transitive.

Q10. Show that f:R→R defined by f(x)=4x³−5 is one-one and onto.

Q1. Name one material that is attracted by a magnet.

Q2. What is meant by a hard material?

Q3. Name one material that is transparent.

Q4. Why are materials grouped according to their properties?

Q5. Differentiate between soluble and insoluble substances with one example each.

Q6. Why is a steel spoon suitable for serving hot food? Mention two relevant properties.

Q7. A student has wood, iron, plastic and glass. Classify them using two different observable properties.

Q8. A metal key and a wooden ruler are placed in water. Predict what you observe and explain why the observation alone is not enough to identify all properties of the materials.

Q9. A student has a bar magnet and three objects. Explain a reliable test to identify which object is magnetic and how to identify the north pole of the magnet.

Q10. Explain how a compass can be used to find direction and why a compass needle aligns approximately north-south.

Q1. Name one metal that is a good conductor of electricity.

Q2. Name one non-metal that is lustrous.

Q3. What happens to blue litmus in an acidic substance?

Q4. State one property of metals that makes them useful for making wires.

Q5. Why are metals generally malleable?

Q6. A substance turns red litmus blue. What does this indicate? Give one example.

Q7. Compare metals and non-metals on conductivity, lustre and malleability, giving one example of each.

Q8. An iron nail is placed in copper sulphate solution. Predict the change and explain the reaction.

Q9. A substance turns red litmus blue. Explain what this indicates and give one everyday example.

Q10. Explain two important physical or emotional changes during adolescence and give two habits that support healthy growth.

Q1. What is an element?

Q2. Give one example of a compound.

Q3. Name one force that acts without direct contact.

Q4. What is atmospheric pressure?

Q5. Differentiate between an element and a mixture.

Q6. Why does a current-carrying wire produce a magnetic effect?

Q7. Classify oxygen, carbon dioxide and air as element/compound/mixture.

Q8. Why can a mixture usually be separated by physical methods whereas a compound cannot?

Q9. A force of 20 N moves an object 5 m in the direction of the force. Calculate the work done and state the condition used.

Q10. Explain how uneven heating of Earth's surface creates pressure differences and can lead to winds. Connect the explanation with convection.

Q1. Name the tissue that transports food in plants.

Q2. What is the basic unit of a tissue?

Q3. Define velocity.

Q4. Name one method for separating a soluble solid from a solution.

Q5. State Newton's second law of motion.

Q6. Write the SI unit of power.

Q7. Differentiate between xylem and phloem.

Q8. A cyclist travels 240 m in 20 s. Find the average speed.

Q9. A 2 kg object is lifted vertically through 5 m. Taking g=10 m/s², calculate the work done and explain the energy change.

Q10. Explain how xylem and phloem are adapted for transport and why their directions of transport differ.

Q1. Which observation shows that a chemical change has occurred when dilute sulphuric acid reacts with zinc granules?

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: Al + O₂ → Al₂O₃.

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

Q7. Differentiate between arteries and veins.

Q8. State one function of the iris.

Q9. Explain how the flow of energy in an ecosystem is unidirectional.

Q10. A lens X has power −2.5 D. Name the lens, calculate its focal length and state the eye defect for which it is prescribed.

Q1. What is a physical quantity?

Q2. Write the SI unit of mass.

Q3. Name one fundamental quantity.

Q4. What is meant by a standard unit?

Q5. Differentiate between fundamental and derived quantities.

Q6. Why are standard units essential for scientific communication?

Q7. Give two examples of derived quantities with their SI units.

Q8. Explain the difference between accuracy and precision with one example.

Q9. A measurement is reported as 12.40 cm. What does the number of significant figures indicate about the measurement?

Q10. Explain why idealised models are useful in physics. Give one example of a real system represented by an ideal model.

Q1. Define one mole.

Q2. What is molar mass?

Q3. How many moles are present in 36 g of water?

Q4. State the law of conservation of mass.

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 52.17% carbon, 13.04% hydrogen and 34.79% oxygen. Determine its empirical formula.

Q9. A sample contains 6.022×10²² molecules of O₂. Find its mass.

Q10. Explain the limiting reagent concept using a balanced reaction and show how it determines the amount of product formed.

Q1. Define electric potential at a point.

Q2. Write the SI unit of capacitance.

Q3. What is an equipotential surface?

Q4. Write the relation between charge, capacitance and potential difference.

Q5. State Coulomb's law.

Q6. Define electric flux.

Q7. A 4 μF capacitor is connected to 12 V. Find the charge stored.

Q8. Two capacitors 3 μF and 6 μF are connected in parallel. Find the equivalent capacitance.

Q9. Derive the expression for the capacitance of a parallel-plate capacitor and explain how a dielectric changes the capacitance.

Q10. State Gauss's law and explain one application to a charged spherical conductor.

Q1. Define molarity.

Q2. What is electrode potential?

Q3. Write the SI unit of conductivity.

Q4. State Faraday's first law of electrolysis.

Q5. Define molality.

Q6. What is meant by an ideal solution?

Q7. Calculate E°cell if E°cathode=0.34 V and E°anode=−0.76 V.

Q8. Why does molar conductivity generally increase on dilution?

Q9. Derive the Nernst equation for a general electrochemical cell and explain the role of the reaction quotient.

Q10. Explain the effect of concentration on the vapour pressure of an ideal solution and state Raoult's law.