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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 847 · 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.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect square? (a) 1218 (b) 1160 (c) 1156
  3. 3.Which of these is a perfect square? (a) 1027 (b) 1024 (c) 1066
  4. 4.If a − b = 5 and ab = 36, what is a² + b²?
  5. 5.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  6. 6.A trapezium has parallel sides of 6 cm and 24 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  7. 7.Solve: 8x + 15 = 4x + 23. What is x?
  8. 8.What is ∛10648? =
  9. 9.What is the value of 2² × 2⁻⁵? =
  10. 10.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
  11. 11.What amount will ₹17900 grow to in 1 year at 5% per year compound interest (in ₹)?
  12. 12.What is the smallest whole number by which 294 must be multiplied to get a perfect square?
  13. 13.Which of these is a perfect cube? (a) 2010 (b) 1956 (c) 1728
  14. 14.What is the value of 3⁶? =
  15. 15.Use (a + b)(a − b) = a² − b² to find 107 × 93.
  16. 16.Which of these is a perfect square? (a) 1225 (b) 1257 (c) 1269
  17. 17.The diagonals of a rhombus are 4 cm and 11 cm. What is its area (in square cm)?
  18. 18.Use (a + b)² = a² + 2ab + b² to find 16².
  19. 19.A square garden has an area of 625 square m. How long is each side (in m)?
  20. 20.What amount will ₹45700 grow to in 1 year at 20% per year compound interest (in ₹)?
  21. 21.A square garden has an area of 25 square m. How long is each side (in m)?
  22. 22.A trapezium has parallel sides of 19 cm and 3 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  23. 23.Which of these is a perfect cube? (a) 1297 (b) 1000 (c) 1024
  24. 24.What is ∛343? =
  25. 25.Use (a + b)² = a² + 2ab + b² to find 46².
  26. 26.What amount will ₹51600 grow to in 2 years at 15% per year compound interest (in ₹)?
  27. 27.Solve: 6n + 8 = 4n + 30. What is n?
  28. 28.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  29. 29.Solve: 6(y − 5) = 2y + 26. What is y?
  30. 30.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  31. 31.Solve: p/4 + p/6 = 15. What is p?
  32. 32.The length of a rectangle is 14 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  33. 33.If a − b = 2 and ab = 120, what is a² + b²?
  34. 34.What is √196? =
  35. 35.Use (a − b)² = a² − 2ab + b² to find 32².
  36. 36.Find the compound interest on ₹16800 at 20% per year for 1 year, compounded every year (in ₹).
  37. 37.Solve: n/5 + n/2 = 14. What is n?
  38. 38.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  39. 39.Write 7.2 × 10⁻³ as a decimal. =
  40. 40.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?

Answer key

  1. 13
  2. 1156
  3. 1024
  4. 97
  5. 18
  6. 210
  7. 2
  8. 22
  9. 1/8
  10. 92
  11. 18795
  12. 6
  13. 1728
  14. 729
  15. 9951
  16. 1225
  17. 22
  18. 256
  19. 25
  20. 54840
  21. 5
  22. 33
  23. 1000
  24. 7
  25. 2116
  26. 68241
  27. 11
  28. 864
  29. 14
  30. 8
  31. 36
  32. 12
  33. 244
  34. 14
  35. 1024
  36. 3360
  37. 20
  38. 784
  39. 0.0072
  40. 18

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