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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 219 · 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 value of 3¹ × 3⁻⁶? =
  2. 2.A square garden has an area of 169 square m. How long is each side (in m)?
  3. 3.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  4. 4.Use (a + b)² = a² + 2ab + b² to find 48².
  5. 5.What is the value of 3⁻² (as a fraction)? =
  6. 6.Use (a + b)(a − b) = a² − b² to find 77 × 63.
  7. 7.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  8. 8.Write 6⁹ × 6⁷ as a single power 6ⁿ. What is n?
  9. 9.What is the value of (5/8)⁻¹? =
  10. 10.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  11. 11.Which of these is a perfect square? (a) 252 (b) 225 (c) 249
  12. 12.A square garden has an area of 676 square m. How long is each side (in m)?
  13. 13.A town has 3800 people. The population grows by 25% every year. What will the population be after 1 year?
  14. 14.What is the value of 10⁻² (as a fraction)? =
  15. 15.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  16. 16.What is the difference between the compound interest and the simple interest on ₹7500 at 8% per year for 2 years (in ₹)?
  17. 17.What is the smallest whole number by which 135 must be multiplied to get a perfect square?
  18. 18.A trapezium has an area of 252 square cm. Its parallel sides are 22 cm and 14 cm. What is the distance between them (in cm)?
  19. 19.Write 3.8 × 10⁻² as a decimal. =
  20. 20.A cuboid is 15 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  21. 21.What is 15³? =
  22. 22.Solve: 4(x − 1) = x + 32. What is x?
  23. 23.What is 22²? =
  24. 24.Which of these is a perfect cube? (a) 2772 (b) 3209 (c) 2744
  25. 25.What is the value of 2¹ × 2⁻⁵? =
  26. 26.Solve: y/3 + y/2 = 10. What is y?
  27. 27.7.3 × 10⁷ =
  28. 28.What is the smallest whole number by which 243 must be divided to get a perfect square?
  29. 29.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
  30. 30.What is 7³? =
  31. 31.What is 3³? =
  32. 32.The diagonals of a rhombus are 24 cm and 10 cm. What is its area (in square cm)?
  33. 33.What amount will ₹35200 grow to in 2 years at 15% per year compound interest (in ₹)?
  34. 34.How many whole numbers lie between 44² and 45²?
  35. 35.Which of these is a perfect square? (a) 271 (b) 267 (c) 256
  36. 36.Which of these is a perfect square? (a) 289 (b) 321 (c) 313
  37. 37.A father is 24 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  38. 38.A cuboid is 14 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  39. 39.Use (a − b)² = a² − 2ab + b² to find 67².
  40. 40.Find the compound interest on ₹49600 at 25% per year for 3 years, compounded every year (in ₹).

Answer key

  1. 1/243
  2. 13
  3. 2
  4. 2304
  5. 1/9
  6. 4851
  7. 7
  8. 16
  9. 8/5
  10. 60
  11. 225
  12. 26
  13. 4750
  14. 1/100
  15. 108
  16. 48
  17. 15
  18. 14
  19. 0.038
  20. 162
  21. 3375
  22. 12
  23. 484
  24. 2744
  25. 1/16
  26. 12
  27. 73000000
  28. 3
  29. 4167
  30. 343
  31. 27
  32. 120
  33. 46552
  34. 88
  35. 256
  36. 289
  37. 5
  38. 620
  39. 4489
  40. 47275

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