Mathematics
Top 30 by viewsThe most important Class 10th Mathematics questions, chosen by how often students practise them. Each comes with the correct answer to help you revise the high-weightage, frequently asked topics for your exams.
Q1. The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.
Q2. How many multiples of 4 lie between 10 and 250? Also find their sum.
Q3. The sum of all two digit odd numbers is
- A. 2475
- B. 2455
- C. 3475
- D. 2470
Q4. In a school there are two sections – section A and section B of class X. There are 32 students in section A and 36 students in section B. Determine the minimum number of books required for their class library so that they can be distributed equally among students of section A or section B.
Q5. The length, breadth and height of a room is 5m, 4m and 3m. The cost of white washing its four walls at the rate of Rs. 7.50 per square meter is
Q6. If seven times the 7th term of an A.P. is equal to eleven times the 11th term, then what will be its 18th term?
Q7. In an A.P., if the 6th and 13th terms are 35 and 70 respectively, find the sum of its first 20 terms.
Q8. The sum of the digits of a two digit number is 9. If 27 is added to it, the digits of the numbers get reversed. The number is
Q9. A river 3 meters deep and 40 meters wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?
Q10. 5 pencils and 7 pens together cost Rs 50, whereas 7 pencils and 5 pens together cost Rs 46. Find the cost of one pencil and that of one pen.
Q11. Find the sum of all natural numbers that are less than 100 and divisible by 4.
Q12. Find the smallest number that when divided by 12, 16, and 24 leaves a remainder of 4 in each case.
Q13. A person saves ₹500 in the first month and increases savings by ₹100 every month. How much does he save in the 12th month?
- A. 1600
- B. 1700
- C. 1800
- D. 1900
Q14. 20th term from the last term of the A.P. 3, 8, 13, …, 253 is:
Q15. The 4ᵗʰ term of an A.P. is zero. Prove that the 25ᵗʰ term of the A.P. is three times its 11ᵗʰ term.
Q16. A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm. Find the number of cones so formed.
Q17. If 17th term of an A.P. exceeds its 10th term by 7. The common difference is:
Q18. Find the quadratic polynomial if its zeroes are 0 and √5.
Q19. If the product of zeroes of the polynomial p(x)=3x² + kx − 2 is 2/3 , find the value of k.
Q20. Two cubes each of edge 12 cm are joined end to end. What is the surface area of the new cuboid formed?
Q21. A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day
Q22. Find the least number which when divided by 6, 15 and 18 leave remainder 5 in each case.
Q23. The product of HCF and LCM of 60,84 and 108 is
- A. 55360
- B. 55390
- C. 78902
- D. 45360
Q24. A and B each has some money. If A gives Rs. 30 to B then B will have twice the money left with A. But if B gives Rs. 10 to A then A will have thrice as much as is left with B. How much money does each have?
Q25. Determine the number nearest 110000 but greater than 100000 which is exactly divisible by each of 8, 15 and 21.
Q26. A cylindrical pillar has a diameter of 50 cm and a height of 3.5 m. What is the cost of painting its curved surface at the rate of Rs. 12.50 per m²?
Q27. Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times.
Q28. One says, “Give me a hundred, friend! I shall then become twice as rich as you”. The other replies, “If you give me ten, I shall be six times as rich as you”. Tell me what is the amount of their (respective) capital?
Q29. Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.
Q30. α and β are zeroes of the quadratic polynomial x² – 6x + y. Find the value of ‘y’ if 3α + 2β = 20
Science
Top 30 by viewsThe most important Class 10th Science questions, chosen by how often students practise them. Each comes with the correct answer to help you revise the high-weightage, frequently asked topics for your exams.
Q1. Why should a magnesium ribbon be cleaned before burning in air?
Q2. Why is sodium kept immersed in kerosene oil?
Q3. Why does the sky appear dark instead of blue to an astronaut?
Q4. Write chemical names and formulae of plaster of Paris and Gypsum.
Q5. Why does the colour of copper sulphate solution change when an iron nail is dipped in it?
Q6. Why is respiration considered an exothermic reaction? Explain
Q7. Write the names of the product formed when zinc reacts with NaOH. Also write the balanced chemical equation for the reaction involved. Write a test to confirm the presence of the gas evolved during this reaction.
Q8. Calculate the resistivity of the material of a wire of length 1 m, radius 0.01 cm and resistance 20 ohms.
Q9. In the refining of silver, the recovery of silver from silver nitrate solution involved displacement by copper metal. Write down the reaction involved.
Q10. A solution of substance ‘X’ is used for white washing. What is the substance ‘X’? State the chemical reaction of ‘X’ with water.
Q11. List the factors on which the resistance of a conductor in the shape of a wire depends.
Q12. State the difference in colours of the sun observed during sunrise/sunset and noon. Give explanation for each.
Q13. Mention and explain the function of an earth wire. Why it is necessary to earth metallic appliances?
Q14. What are anhydrous and hydrated salts? Explain with a suitable example of each.
Q15. Write one equation each for decomposition reactions where energy is supplied in the form of heat, light or electricity.
Q16. Which gas is produced when dilute hydrochloric acid is added to a reactive metal? Write the chemical reaction when iron reacts with dilute H₂SO₄.
Q17. Why do not two magnetic field lines intersect each other?
Q18. A shiny brown coloured element ‘X’ on heating in air becomes black in colour. Name the element ‘X’ and the black coloured compound formed.
Q19. Write the frequency of alternating current (AC) in India. How many times per second it changes its direction?
Q20. State the factors on which strength of magnetic field at a point due to a current carrying conductor depends?
Q21. Why are alloys commonly used in electrical heating devices ?
Q22. What are trophic levels? Give an example of a food chain and state the different trophic levels in it.
Q23. A current-carrying straight conductor is placed in the east-west direction. What will be the direction of the force experienced by this conductor due to earth’s magnetic field? How will this force get affected?
Q24. State two ways to prevent the rusting of iron.
Q25. A person needs a lens of power –5.5 dioptres for correcting his distant vision. For correcting his near vision he needs a lens of power +1.5 dioptre. What is the focal length of the lens required for correcting (i) distant vision, and (ii) near vision?
Q26. Blue litmus paper is dipped in a solution. It remains blue. What is the nature of the solution? Explain.
Q27. Differentiate between metal and non-metal on the basis of their chemical properties.
Q28. Which metals do not corrode easily?
Q29. A white powder is added while baking cakes to make it soft and spongy. Name its main ingredients. Explain the function of each ingredient. Write the chemical reaction taking place when the powder is heated during baking.
Q30. Name two metals which will displace hydrogen from dilute acids, and two metals which will not.