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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 349 · 40 sums
TalentJR

The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.

NameDateTime takenScore ___ / 40
  1. 1.The sum of three consecutive whole numbers is 87. What is the smallest of them?
  2. 2.The diagonals of a rhombus are 10 cm and 24 cm. What is its area (in square cm)?
  3. 3.What amount will ₹20000 grow to in 2 years at 4% per year compound interest (in ₹)?
  4. 4.What amount will ₹12700 grow to in 2 years at 10% per year compound interest (in ₹)?
  5. 5.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  6. 6.Solve: t/5 + t/2 = 21. What is t?
  7. 7.What is the value of 2¹⁶? =
  8. 8.Write 2 × 10⁻³ as a decimal. =
  9. 9.Find the value of x² − y² when x = 13 and y = 6.
  10. 10.What amount will ₹22700 grow to in 2 years at 10% per year compound interest (in ₹)?
  11. 11.What is 11³? =
  12. 12.Use (a − b)² = a² − 2ab + b² to find 71².
  13. 13.What is the value of 3⁶ × 3⁻⁴? =
  14. 14.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  15. 15.How many whole numbers lie between 41² and 42²?
  16. 16.What is 59²? =
  17. 17.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A scooter is worth ₹51200. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  19. 19.What is the smallest whole number by which 32 must be multiplied to get a perfect square?
  20. 20.The diagonals of a rhombus are 18 cm and 19 cm. What is its area (in square cm)?
  21. 21.Use a² − b² = (a + b)(a − b) to find 84² − 79².
  22. 22.Use a² − b² = (a + b)(a − b) to find 24² − 10².
  23. 23.What amount will ₹25000 grow to in 2 years at 12% per year compound interest (in ₹)?
  24. 24.The diagonals of a rhombus are 22 cm and 30 cm. What is its area (in square cm)?
  25. 25.Solve: y/4 + y/6 = 35. What is y?
  26. 26.Write 9,100 in standard form as 9.1 × 10ⁿ. What is n?
  27. 27.The length of a rectangle is 5 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  28. 28.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  29. 29.A father is 28 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  30. 30.Use (a + b)² = a² + 2ab + b² to find 83².
  31. 31.What is √576? =
  32. 32.A trapezium has parallel sides of 21 cm and 29 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  33. 33.What is the smallest whole number by which 63 must be multiplied to get a perfect square?
  34. 34.What is the smallest whole number by which 12 must be divided to get a perfect square?
  35. 35.Which of these is a perfect square? (a) 491 (b) 507 (c) 484
  36. 36.The sum of three consecutive whole numbers is 135. What is the largest of them?
  37. 37.How many whole numbers lie between 40² and 41²?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 78².
  39. 39.Write 2,40,00,000 in standard form as 2.4 × 10ⁿ. What is n?
  40. 40.Use a² − b² = (a + b)(a − b) to find 99² − 22².

Answer key

  1. 28
  2. 120
  3. 21632
  4. 15367
  5. 18
  6. 30
  7. 65536
  8. 0.002
  9. 133
  10. 27467
  11. 1331
  12. 5041
  13. 9
  14. 1176
  15. 82
  16. 3481
  17. 88
  18. 21600
  19. 2
  20. 171
  21. 815
  22. 476
  23. 31360
  24. 330
  25. 84
  26. 3
  27. 5
  28. 18
  29. 10
  30. 6889
  31. 24
  32. 200
  33. 7
  34. 3
  35. 484
  36. 46
  37. 80
  38. 6084
  39. 7
  40. 9317

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