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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 893 · 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.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
  2. 2.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  3. 3.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  4. 4.What amount will ₹48300 grow to in 1 year at 20% per year compound interest (in ₹)?
  5. 5.What amount will ₹45600 grow to in 1 year at 5% per year compound interest (in ₹)?
  6. 6.What is ∛125? =
  7. 7.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  8. 8.Which of these is a perfect square? (a) 1334 (b) 1296 (c) 1302
  9. 9.Solve: 3m + 6 = 2m + 18. What is m?
  10. 10.Write 480 in standard form as 4.8 × 10ⁿ. What is n?
  11. 11.Use (a + b)² = a² + 2ab + b² to find 72².
  12. 12.Solve: 6(m − 4) = m + 31. What is m?
  13. 13.Solve: 7p + 11 = p + 23. What is p?
  14. 14.Which of these is a perfect square? (a) 1289 (b) 1225 (c) 1281
  15. 15.What is the value of 9⁻² (as a fraction)? =
  16. 16.A cuboid is 13 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
  17. 17.A trapezium has parallel sides of 5 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  18. 18.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  19. 19.Use (a + b)(a − b) = a² − b² to find 23 × 17.
  20. 20.What is 99²? =
  21. 21.What is the smallest whole number by which 448 must be divided to get a perfect square?
  22. 22.A room is 3 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  23. 23.A square garden has an area of 529 square m. How long is each side (in m)?
  24. 24.What amount will ₹23400 grow to in 1 year at 15% per year compound interest (in ₹)?
  25. 25.Write (3⁵)⁷ as a single power 3ⁿ. What is n?
  26. 26.A trapezium has parallel sides of 16 cm and 2 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  27. 27.Use (a − b)² = a² − 2ab + b² to find 26².
  28. 28.What is √3721? =
  29. 29.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  30. 30.What is the difference between the compound interest and the simple interest on ₹9600 at 5% per year for 2 years (in ₹)?
  31. 31.Use (a − b)² = a² − 2ab + b² to find 78².
  32. 32.Find the compound interest on ₹49000 at 20% per year for 3 years, compounded every year (in ₹).
  33. 33.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  34. 34.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  35. 35.What is ∛343? =
  36. 36.What is 19²? =
  37. 37.The length of a rectangle is 1 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  38. 38.Use (a + b)(a − b) = a² − b² to find 71 × 69.
  39. 39.Write 3.7 × 10⁻³ as a decimal. =
  40. 40.Find the compound interest on ₹23200 at 10% per year for 2 years, compounded every year (in ₹).

Answer key

  1. 6
  2. 256
  3. 25
  4. 57960
  5. 47880
  6. 5
  7. 225
  8. 1296
  9. 12
  10. 2
  11. 5184
  12. 11
  13. 2
  14. 1225
  15. 1/81
  16. 398
  17. 64
  18. 5
  19. 391
  20. 9801
  21. 7
  22. 60
  23. 23
  24. 26910
  25. 35
  26. 36
  27. 676
  28. 61
  29. 2
  30. 24
  31. 6084
  32. 35672
  33. 13
  34. 289
  35. 7
  36. 361
  37. 22
  38. 4899
  39. 0.0037
  40. 4872

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