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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 430 · 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 sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  2. 2.What is the smallest whole number by which 224 must be multiplied to get a perfect square?
  3. 3.What is the value of 4⁻⁴ (as a fraction)? =
  4. 4.A trapezium has an area of 26 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?
  5. 5.Solve: 3(y − 1) = 2y + 5. What is y?
  6. 6.Use (a − b)² = a² − 2ab + b² to find 98².
  7. 7.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is 81²? =
  9. 9.Write 9.5 × 10⁻⁴ as a decimal. =
  10. 10.Use (a + b)² = a² + 2ab + b² to find 13².
  11. 11.The diagonals of a rhombus are 4 cm and 27 cm. What is its area (in square cm)?
  12. 12.Solve: m/6 + m/4 = 5. What is m?
  13. 13.Use (a − b)² = a² − 2ab + b² to find 95².
  14. 14.How many whole numbers lie between 7² and 8²?
  15. 15.What amount will ₹52500 grow to in 2 years at 12% per year compound interest (in ₹)?
  16. 16.A town has 39000 people. The population grows by 10% every year. What will the population be after 3 years?
  17. 17.Solve: 4y + 7 = 2y + 13. What is y?
  18. 18.What is ∛343? =
  19. 19.How many whole numbers lie between 5² and 6²?
  20. 20.What is the difference between the compound interest and the simple interest on ₹43700 at 10% per year for 2 years (in ₹)?
  21. 21.What is the value of 3⁷? =
  22. 22.What is 60²? =
  23. 23.What is 20²? =
  24. 24.A cuboid is 11 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  25. 25.What is the smallest whole number by which 160 must be divided to get a perfect square?
  26. 26.What is the value of 2⁴? =
  27. 27.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  28. 28.A trapezium has an area of 282 square cm. Its parallel sides are 29 cm and 18 cm. What is the distance between them (in cm)?
  29. 29.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
  30. 30.Use (a − b)² = a² − 2ab + b² to find 36².
  31. 31.A cuboid is 15 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  32. 32.What amount will ₹6000 grow to in 3 years at 10% per year compound interest (in ₹)?
  33. 33.A cuboid is 6 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  34. 34.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.Write 4⁵ ÷ 4³ as a single power 4ⁿ. What is n?
  36. 36.Use (a + b)(a − b) = a² − b² to find 24 × 16.
  37. 37.What is the value of (5/9)⁻¹? =
  38. 38.Find the value of x² + 2xy + y² when x = 12 and y = 11.
  39. 39.What is the value of 3⁵ × 3⁻⁴? =
  40. 40.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 900
  2. 14
  3. 1/256
  4. 4
  5. 8
  6. 9604
  7. 8
  8. 6561
  9. 0.00095
  10. 169
  11. 54
  12. 12
  13. 9025
  14. 14
  15. 65856
  16. 51909
  17. 3
  18. 7
  19. 10
  20. 437
  21. 2187
  22. 3600
  23. 400
  24. 388
  25. 10
  26. 16
  27. 16
  28. 12
  29. 9261
  30. 1296
  31. 196
  32. 7986
  33. 236
  34. 140
  35. 2
  36. 384
  37. 9/5
  38. 529
  39. 3
  40. 225

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