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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 370 · 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 amount will ₹19000 grow to in 1 year at 4% per year compound interest (in ₹)?
  2. 2.Which of these is a perfect square? (a) 256 (b) 274 (c) 284
  3. 3.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  4. 4.Which of these is a perfect square? (a) 940 (b) 900 (c) 932
  5. 5.What is ∛216? =
  6. 6.What is the value of 2⁵? =
  7. 7.What is the smallest whole number by which 896 must be divided to get a perfect square?
  8. 8.What is 37²? =
  9. 9.Write 1.2 × 10⁻³ as a decimal. =
  10. 10.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  11. 11.Solve: m/4 + m/5 = 54. What is m?
  12. 12.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  13. 13.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  14. 14.How many whole numbers lie between 47² and 48²?
  15. 15.Find the compound interest on ₹35600 at 5% per year for 2 years, compounded every year (in ₹).
  16. 16.Solve: 5n + 5 = n + 33. What is n?
  17. 17.What is the smallest whole number by which 60 must be multiplied to get a perfect square?
  18. 18.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  19. 19.9.6 × 10⁶ =
  20. 20.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  21. 21.What is √576? =
  22. 22.A cuboid is 13 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  23. 23.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  24. 24.What amount will ₹30800 grow to in 2 years at 5% per year compound interest (in ₹)?
  25. 25.What is 17³? =
  26. 26.What is the difference between the compound interest and the simple interest on ₹42600 at 10% per year for 2 years (in ₹)?
  27. 27.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  28. 28.How many whole numbers lie between 50² and 51²?
  29. 29.Solve: 3(t − 3) = t + 21. What is t?
  30. 30.Use (a + b)² = a² + 2ab + b² to find 14².
  31. 31.Solve: x/2 + x/4 = 6. What is x?
  32. 32.What is ∛729? =
  33. 33.If a − b = 5 and ab = 14, what is a² + b²?
  34. 34.A trapezium has an area of 361 square cm. Its parallel sides are 26 cm and 12 cm. What is the distance between them (in cm)?
  35. 35.Write 18,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  36. 36.Solve: p/2 + p/6 = 32. What is p?
  37. 37.Find the compound interest on ₹12800 at 20% per year for 2 years, compounded every year (in ₹).
  38. 38.What is 2³? =
  39. 39.Use a² − b² = (a + b)(a − b) to find 35² − 13².
  40. 40.Find the value of x² + 2xy + y² when x = 7 and y = 3.

Answer key

  1. 19760
  2. 256
  3. 1944
  4. 900
  5. 6
  6. 32
  7. 14
  8. 1369
  9. 0.0012
  10. 1176
  11. 120
  12. 841
  13. 19
  14. 94
  15. 3649
  16. 7
  17. 15
  18. 3
  19. 9600000
  20. 7
  21. 24
  22. 262
  23. 84
  24. 33957
  25. 4913
  26. 426
  27. 2904
  28. 100
  29. 15
  30. 196
  31. 8
  32. 9
  33. 53
  34. 19
  35. 6
  36. 48
  37. 5632
  38. 8
  39. 1056
  40. 100

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