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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 840 · 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.What is the smallest whole number by which 27 must be multiplied to get a perfect square?
  2. 2.What is the value of 2⁴ × 2⁻⁶? =
  3. 3.The sum of four consecutive whole numbers is 134. What is the largest of them?
  4. 4.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  5. 5.Use (a + b)² = a² + 2ab + b² to find 19².
  6. 6.Solve: 6(x − 2) = x + 23. What is x?
  7. 7.What is the value of 2⁻⁶ (as a fraction)? =
  8. 8.If a + b = 6 and ab = 5, what is a² + b²?
  9. 9.Which of these is a perfect cube? (a) 450 (b) 347 (c) 343
  10. 10.Solve: 5(n − 5) = 2n + 23. What is n?
  11. 11.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.A room is 7 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  13. 13.Write 7¹⁰ ÷ 7⁸ as a single power 7ⁿ. What is n?
  14. 14.Find the value of x² + 2xy + y² when x = 11 and y = 7.
  15. 15.1.5 × 10⁶ =
  16. 16.A square garden has an area of 625 square m. How long is each side (in m)?
  17. 17.A square garden has an area of 900 square m. How long is each side (in m)?
  18. 18.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  19. 19.Write 2.8 × 10⁻¹ as a decimal. =
  20. 20.A square garden has an area of 25 square m. How long is each side (in m)?
  21. 21.How many whole numbers lie between 19² and 20²?
  22. 22.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  23. 23.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  24. 24.What is 44²? =
  25. 25.What is ∛4096? =
  26. 26.Which of these is a perfect cube? (a) 1000 (b) 1227 (c) 1088
  27. 27.Use (a + b)(a − b) = a² − b² to find 68 × 52.
  28. 28.What is the smallest whole number by which 275 must be divided to get a perfect square?
  29. 29.What is the value of 3⁻² (as a fraction)? =
  30. 30.Find the compound interest on ₹19100 at 10% per year for 1 year, compounded every year (in ₹).
  31. 31.Which of these is a perfect square? (a) 327 (b) 329 (c) 324
  32. 32.Write 8.4 × 10⁻¹ as a decimal. =
  33. 33.Solve: 3m + 9 = m + 15. What is m?
  34. 34.Use (a + b)² = a² + 2ab + b² to find 88².
  35. 35.Solve: 5(x − 1) = 3x + 13. What is x?
  36. 36.What is the value of 10⁵ × 10⁻⁶? =
  37. 37.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  38. 38.A town has 35200 people. The population grows by 25% every year. What will the population be after 3 years?
  39. 39.Solve: 4(x − 4) = x + 35. What is x?
  40. 40.What amount will ₹32500 grow to in 2 years at 4% per year compound interest (in ₹)?

Answer key

  1. 3
  2. 1/4
  3. 35
  4. 1536
  5. 361
  6. 7
  7. 1/64
  8. 26
  9. 343
  10. 16
  11. 216
  12. 84
  13. 2
  14. 324
  15. 1500000
  16. 25
  17. 30
  18. 7
  19. 0.28
  20. 5
  21. 38
  22. 17
  23. 441
  24. 1936
  25. 16
  26. 1000
  27. 3536
  28. 11
  29. 1/9
  30. 1910
  31. 324
  32. 0.84
  33. 3
  34. 7744
  35. 9
  36. 1/10
  37. 9
  38. 68750
  39. 17
  40. 35152

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