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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 294 · 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.Solve: t/2 + t/6 = 28. What is t?
  2. 2.Solve: 8x + 9 = x + 65. What is x?
  3. 3.What amount will ₹11200 grow to in 2 years at 15% per year compound interest (in ₹)?
  4. 4.What is the difference between the compound interest and the simple interest on ₹9300 at 20% per year for 2 years (in ₹)?
  5. 5.Find the compound interest on ₹24000 at 20% per year for 2 years, compounded every year (in ₹).
  6. 6.What is ∛512? =
  7. 7.The sum of four consecutive whole numbers is 50. What is the largest of them?
  8. 8.A scooter is worth ₹15200. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
  9. 9.1.2 × 10⁷ =
  10. 10.What is the difference between the compound interest and the simple interest on ₹52500 at 12% per year for 2 years (in ₹)?
  11. 11.What is the smallest whole number by which 80 must be divided to get a perfect square?
  12. 12.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.Use a² − b² = (a + b)(a − b) to find 44² − 13².
  14. 14.Which of these is a perfect square? (a) 144 (b) 153 (c) 146
  15. 15.Which of these is a perfect cube? (a) 2445 (b) 2689 (c) 2197
  16. 16.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.A town has 21300 people. The population grows by 10% every year. What will the population be after 2 years?
  18. 18.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  19. 19.Write (5²)⁶ as a single power 5ⁿ. What is n?
  20. 20.Solve: 3(y − 3) = 2y + 2. What is y?
  21. 21.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  22. 22.The diagonals of a rhombus are 30 cm and 23 cm. What is its area (in square cm)?
  23. 23.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  24. 24.A trapezium has an area of 378 square cm. Its parallel sides are 14 cm and 28 cm. What is the distance between them (in cm)?
  25. 25.What amount will ₹52500 grow to in 3 years at 20% per year compound interest (in ₹)?
  26. 26.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  27. 27.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  28. 28.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  29. 29.What is the value of 9³? =
  30. 30.Solve: 4n + 5 = 2n + 23. What is n?
  31. 31.What is 3³? =
  32. 32.What is the value of 4⁸? =
  33. 33.Solve: 6(p − 2) = 3p + 36. What is p?
  34. 34.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  35. 35.Solve: 4(y − 3) = y + 33. What is y?
  36. 36.Write 5⁶ × 5² as a single power 5ⁿ. What is n?
  37. 37.What is the difference between the compound interest and the simple interest on ₹21300 at 10% per year for 2 years (in ₹)?
  38. 38.A town has 43300 people. The population grows by 8% every year. What will the population be after 1 year?
  39. 39.A trapezium has an area of 350 square cm. Its parallel sides are 15 cm and 20 cm. What is the distance between them (in cm)?
  40. 40.What is 50²? =

Answer key

  1. 42
  2. 8
  3. 14812
  4. 372
  5. 10560
  6. 8
  7. 14
  8. 8550
  9. 12000000
  10. 756
  11. 5
  12. 125
  13. 1767
  14. 144
  15. 2197
  16. 27
  17. 25773
  18. 9
  19. 12
  20. 11
  21. 49
  22. 345
  23. 64
  24. 18
  25. 90720
  26. 7
  27. 25
  28. 9
  29. 729
  30. 9
  31. 27
  32. 65536
  33. 16
  34. 168
  35. 15
  36. 8
  37. 213
  38. 46764
  39. 20
  40. 2500

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