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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 613 · 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.The sum of two consecutive whole numbers is 117. What is the largest of them?
  2. 2.How many whole numbers lie between 14² and 15²?
  3. 3.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  4. 4.Use (a + b)² = a² + 2ab + b² to find 37².
  5. 5.The diagonals of a rhombus are 28 cm and 14 cm. What is its area (in square cm)?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 84².
  7. 7.What is the value of 3⁴? =
  8. 8.Solve: 6(p − 1) = 4p + 12. What is p?
  9. 9.A scooter is worth ₹48000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  10. 10.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  11. 11.If a + b = 17 and ab = 60, what is a² + b²?
  12. 12.What is 81²? =
  13. 13.Use (a + b)(a − b) = a² − b² to find 32 × 28.
  14. 14.Find the value of x² − y² when x = 3 and y = 2.
  15. 15.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  16. 16.Find the compound interest on ₹55600 at 5% per year for 2 years, compounded every year (in ₹).
  17. 17.Use (a − b)² = a² − 2ab + b² to find 11².
  18. 18.Use (a + b)² = a² + 2ab + b² to find 92².
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.Find the compound interest on ₹32500 at 12% per year for 2 years, compounded every year (in ₹).
  21. 21.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  22. 22.A room is 6 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.Which of these is a perfect square? (a) 1024 (b) 1082 (c) 1056
  24. 24.Use (a − b)² = a² − 2ab + b² to find 87².
  25. 25.What is the value of 3⁵ × 3⁻¹? =
  26. 26.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  27. 27.What is 4³? =
  28. 28.The diagonals of a rhombus are 16 cm and 4 cm. What is its area (in square cm)?
  29. 29.A father is 22 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  30. 30.Write 8,50,000 in standard form as 8.5 × 10ⁿ. What is n?
  31. 31.Write 8,900 in standard form as 8.9 × 10ⁿ. What is n?
  32. 32.Solve: y/3 + y/5 = 16. What is y?
  33. 33.Which of these is a perfect square? (a) 1349 (b) 1296 (c) 1307
  34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  35. 35.What is the difference between the compound interest and the simple interest on ₹34600 at 10% per year for 2 years (in ₹)?
  36. 36.Find the value of x² + 2xy + y² when x = 11 and y = 9.
  37. 37.What amount will ₹49600 grow to in 2 years at 5% per year compound interest (in ₹)?
  38. 38.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
  39. 39.Use (a − b)² = a² − 2ab + b² to find 37².
  40. 40.What amount will ₹56000 grow to in 3 years at 25% per year compound interest (in ₹)?

Answer key

  1. 59
  2. 28
  3. 100
  4. 1369
  5. 196
  6. 7056
  7. 81
  8. 9
  9. 41154
  10. 9
  11. 169
  12. 6561
  13. 896
  14. 5
  15. 900
  16. 5699
  17. 121
  18. 8464
  19. 216
  20. 8268
  21. 6
  22. 72
  23. 1024
  24. 7569
  25. 81
  26. 3
  27. 64
  28. 32
  29. 7
  30. 5
  31. 3
  32. 30
  33. 1296
  34. 11
  35. 346
  36. 400
  37. 54684
  38. 324
  39. 1369
  40. 109375

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