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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 986 · 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: 4(n − 2) = n + 28. What is n?
  2. 2.What is the difference between the compound interest and the simple interest on ₹57600 at 15% per year for 2 years (in ₹)?
  3. 3.What is the difference between the compound interest and the simple interest on ₹22500 at 20% per year for 2 years (in ₹)?
  4. 4.A town has 31400 people. The population grows by 10% every year. What will the population be after 2 years?
  5. 5.What is the value of 3⁻⁴ (as a fraction)? =
  6. 6.Write 7.6 × 10⁻² as a decimal. =
  7. 7.What is 15³? =
  8. 8.What is √4900? =
  9. 9.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  10. 10.A father is 18 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  11. 11.If a − b = 1 and ab = 110, what is a² + b²?
  12. 12.Solve: x/2 + x/3 = 15. What is x?
  13. 13.Find the compound interest on ₹28800 at 25% per year for 3 years, compounded every year (in ₹).
  14. 14.How many whole numbers lie between 20² and 21²?
  15. 15.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.Find the compound interest on ₹11900 at 25% per year for 1 year, compounded every year (in ₹).
  17. 17.What is the smallest whole number by which 384 must be divided to get a perfect square?
  18. 18.If a − b = 1 and ab = 2, what is a² + b²?
  19. 19.Write (2⁴)³ as a single power 2ⁿ. What is n?
  20. 20.Write 2,60,000 in standard form as 2.6 × 10ⁿ. What is n?
  21. 21.What is the smallest whole number by which 1134 must be multiplied to get a perfect square?
  22. 22.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  23. 23.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  24. 24.Use (a − b)² = a² − 2ab + b² to find 25².
  25. 25.Solve: 6(p − 3) = p + 7. What is p?
  26. 26.Solve: 5(y − 2) = 2y + 35. What is y?
  27. 27.What is the value of (1/5)⁻¹? =
  28. 28.What amount will ₹39000 grow to in 3 years at 20% per year compound interest (in ₹)?
  29. 29.A town has 13500 people. The population grows by 8% every year. What will the population be after 1 year?
  30. 30.A square garden has an area of 3481 square m. How long is each side (in m)?
  31. 31.Use (a − b)² = a² − 2ab + b² to find 36².
  32. 32.Solve: 6n + 14 = 2n + 62. What is n?
  33. 33.A trapezium has an area of 380 square cm. Its parallel sides are 29 cm and 9 cm. What is the distance between them (in cm)?
  34. 34.Which of these is a perfect square? (a) 732 (b) 752 (c) 729
  35. 35.Use (a + b)² = a² + 2ab + b² to find 99².
  36. 36.Write 7.5 × 10⁻³ as a decimal. =
  37. 37.Which of these is a perfect square? (a) 841 (b) 866 (c) 844
  38. 38.Write (5⁶)⁷ as a single power 5ⁿ. What is n?
  39. 39.Solve: 5(t − 2) = 4t + 11. What is t?
  40. 40.Find the compound interest on ₹4400 at 10% per year for 1 year, compounded every year (in ₹).

Answer key

  1. 12
  2. 1296
  3. 900
  4. 37994
  5. 1/81
  6. 0.076
  7. 3375
  8. 70
  9. 12
  10. 3
  11. 221
  12. 18
  13. 27450
  14. 40
  15. 108
  16. 2975
  17. 6
  18. 5
  19. 12
  20. 5
  21. 14
  22. 3
  23. 17
  24. 625
  25. 5
  26. 15
  27. 5
  28. 67392
  29. 14580
  30. 59
  31. 1296
  32. 12
  33. 20
  34. 729
  35. 9801
  36. 0.0075
  37. 841
  38. 42
  39. 21
  40. 440

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