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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 266 · 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. 1.8.1 × 10³ =
  2. 2.What is the value of 3²? =
  3. 3.Find the compound interest on ₹41800 at 10% per year for 1 year, compounded every year (in ₹).
  4. 4.The sum of two consecutive whole numbers is 91. What is the smallest of them?
  5. 5.Find the value of x² + 2xy + y² when x = 10 and y = 1.
  6. 6.Solve: x/2 + x/4 = 6. What is x?
  7. 7.What is 93²? =
  8. 8.What is the smallest whole number by which 704 must be multiplied to get a perfect square?
  9. 9.How many whole numbers lie between 46² and 47²?
  10. 10.Find the value of x² + 2xy + y² when x = 6 and y = 4.
  11. 11.Find the value of x² − y² when x = 11 and y = 1.
  12. 12.What is 16²? =
  13. 13.Use (a + b)(a − b) = a² − b² to find 21 × 19.
  14. 14.The sum of two consecutive whole numbers is 103. What is the largest of them?
  15. 15.The sum of three consecutive whole numbers is 174. What is the smallest of them?
  16. 16.What is the value of 10²? =
  17. 17.What is the smallest whole number by which 32 must be multiplied to get a perfect square?
  18. 18.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  19. 19.A trapezium has parallel sides of 9 cm and 22 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  20. 20.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  21. 21.What is 68²? =
  22. 22.A trapezium has parallel sides of 13 cm and 28 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  23. 23.What is 30²? =
  24. 24.A room is 3 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.Solve: 8y + 7 = y + 56. What is y?
  26. 26.The diagonals of a rhombus are 12 cm and 15 cm. What is its area (in square cm)?
  27. 27.Solve: 5p + 17 = p + 37. What is p?
  28. 28.What amount will ₹57500 grow to in 2 years at 8% per year compound interest (in ₹)?
  29. 29.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  30. 30.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  31. 31.Use (a + b)(a − b) = a² − b² to find 98 × 82.
  32. 32.If a + b = 15 and ab = 56, what is a² + b²?
  33. 33.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  34. 34.What amount will ₹22500 grow to in 2 years at 4% per year compound interest (in ₹)?
  35. 35.Solve: 6(p − 5) = 5p + 11. What is p?
  36. 36.What is the value of 2⁴ × 2⁻⁴? =
  37. 37.What is the value of (1/3)⁻¹? =
  38. 38.What amount will ₹45000 grow to in 3 years at 10% per year compound interest (in ₹)?
  39. 39.Use a² − b² = (a + b)(a − b) to find 60² − 26².
  40. 40.What amount will ₹30000 grow to in 2 years at 8% per year compound interest (in ₹)?

Answer key

  1. 8100
  2. 9
  3. 4180
  4. 45
  5. 121
  6. 8
  7. 8649
  8. 11
  9. 92
  10. 100
  11. 120
  12. 256
  13. 399
  14. 52
  15. 57
  16. 100
  17. 2
  18. 8
  19. 217
  20. 13
  21. 4624
  22. 205
  23. 900
  24. 104
  25. 7
  26. 90
  27. 5
  28. 67068
  29. 1536
  30. 7
  31. 8036
  32. 113
  33. 2
  34. 24336
  35. 41
  36. 1
  37. 3
  38. 59895
  39. 2924
  40. 34992

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