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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 490 · 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.Use (a − b)² = a² − 2ab + b² to find 25².
  2. 2.Write 7¹² ÷ 7⁵ as a single power 7ⁿ. What is n?
  3. 3.What is 18²? =
  4. 4.Find the compound interest on ₹40000 at 12% per year for 2 years, compounded every year (in ₹).
  5. 5.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  6. 6.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  7. 7.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  8. 8.What is the smallest whole number by which 128 must be divided to get a perfect square?
  9. 9.Write 8³ × 8⁶ as a single power 8ⁿ. What is n?
  10. 10.Write (3⁶)² as a single power 3ⁿ. What is n?
  11. 11.Which of these is a perfect cube? (a) 289 (b) 258 (c) 216
  12. 12.Solve: 5(y − 2) = y + 50. What is y?
  13. 13.The length of a rectangle is 8 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  14. 14.What is the value of 10⁴ × 10⁻⁴? =
  15. 15.What is the value of 2⁵? =
  16. 16.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  17. 17.Write 6.4 × 10⁻⁴ as a decimal. =
  18. 18.Write 6⁶ × 6⁷ as a single power 6ⁿ. What is n?
  19. 19.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  20. 20.The length of a rectangle is 10 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  21. 21.Write 9² × 9³ as a single power 9ⁿ. What is n?
  22. 22.What is √3364? =
  23. 23.Solve: 4(t − 1) = 3t + 11. What is t?
  24. 24.What is the smallest whole number by which 27 must be multiplied to get a perfect square?
  25. 25.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  26. 26.Use (a + b)² = a² + 2ab + b² to find 92².
  27. 27.What is 61²? =
  28. 28.What is ∛1000? =
  29. 29.4.4 × 10² =
  30. 30.What is the value of 10³ × 10⁻⁶? =
  31. 31.Which of these is a perfect square? (a) 361 (b) 380 (c) 369
  32. 32.How many whole numbers lie between 29² and 30²?
  33. 33.Write 1.7 × 10⁻³ as a decimal. =
  34. 34.What amount will ₹10000 grow to in 2 years at 12% per year compound interest (in ₹)?
  35. 35.Write 2.7 × 10⁻² as a decimal. =
  36. 36.Write 2⁹ × 2⁴ as a single power 2ⁿ. What is n?
  37. 37.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  38. 38.Find the compound interest on ₹25600 at 25% per year for 3 years, compounded every year (in ₹).
  39. 39.Use (a + b)(a − b) = a² − b² to find 22 × 18.
  40. 40.How many whole numbers lie between 24² and 25²?

Answer key

  1. 625
  2. 7
  3. 324
  4. 10176
  5. 19
  6. 14
  7. 100
  8. 2
  9. 9
  10. 12
  11. 216
  12. 15
  13. 25
  14. 1
  15. 32
  16. 25
  17. 0.00064
  18. 13
  19. 2400
  20. 28
  21. 5
  22. 58
  23. 15
  24. 3
  25. 20
  26. 8464
  27. 3721
  28. 10
  29. 440
  30. 1/1000
  31. 361
  32. 58
  33. 0.0017
  34. 12544
  35. 0.027
  36. 13
  37. 15
  38. 24400
  39. 396
  40. 48

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