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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 681 · 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.Write 7⁶ × 7⁸ as a single power 7ⁿ. What is n?
  2. 2.Use (a + b)² = a² + 2ab + b² to find 86².
  3. 3.What is the value of (7/9)⁻¹? =
  4. 4.What is √1024? =
  5. 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 56 cm. What is its width (in cm)?
  6. 6.A room is 7 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  7. 7.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  8. 8.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  9. 9.Find the compound interest on ₹37500 at 4% per year for 2 years, compounded every year (in ₹).
  10. 10.What is the difference between the compound interest and the simple interest on ₹19300 at 10% per year for 2 years (in ₹)?
  11. 11.A scooter is worth ₹35900. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  12. 12.What is the difference between the compound interest and the simple interest on ₹56400 at 5% per year for 2 years (in ₹)?
  13. 13.Solve: t/5 + t/4 = 18. What is t?
  14. 14.The sum of four consecutive whole numbers is 174. What is the largest of them?
  15. 15.9.6 × 10⁶ =
  16. 16.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
  17. 17.What is the difference between the compound interest and the simple interest on ₹52500 at 8% per year for 2 years (in ₹)?
  18. 18.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
  19. 19.Solve: 5(y − 1) = y + 43. What is y?
  20. 20.What is the value of 6⁴? =
  21. 21.What amount will ₹40900 grow to in 1 year at 8% per year compound interest (in ₹)?
  22. 22.What is the value of 10⁵ × 10⁻¹? =
  23. 23.Which of these is a perfect cube? (a) 198 (b) 139 (c) 125
  24. 24.Which of these is a perfect square? (a) 1338 (b) 1296 (c) 1367
  25. 25.A square garden has an area of 25 square m. How long is each side (in m)?
  26. 26.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  27. 27.A trapezium has an area of 120 square cm. Its parallel sides are 6 cm and 18 cm. What is the distance between them (in cm)?
  28. 28.Write 7⁵ × 7² as a single power 7ⁿ. What is n?
  29. 29.Solve: 4y + 5 = 3y + 20. What is y?
  30. 30.A trapezium has parallel sides of 10 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  31. 31.Solve: 5x + 19 = x + 71. What is x?
  32. 32.Solve: y/2 + y/3 = 15. What is y?
  33. 33.What is the value of 10⁴ × 10⁻⁴? =
  34. 34.What is 73²? =
  35. 35.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  36. 36.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
  37. 37.Write (4⁵)⁵ as a single power 4ⁿ. What is n?
  38. 38.A cuboid is 3 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  39. 39.Find the compound interest on ₹36000 at 8% per year for 1 year, compounded every year (in ₹).
  40. 40.Write (6⁸)⁴ as a single power 6ⁿ. What is n?

Answer key

  1. 14
  2. 7396
  3. 9/7
  4. 32
  5. 13
  6. 140
  7. 10
  8. 256
  9. 3060
  10. 193
  11. 28720
  12. 141
  13. 40
  14. 45
  15. 9600000
  16. 6
  17. 336
  18. 85169
  19. 12
  20. 1296
  21. 44172
  22. 10000
  23. 125
  24. 1296
  25. 5
  26. 2
  27. 10
  28. 7
  29. 15
  30. 13
  31. 13
  32. 18
  33. 1
  34. 5329
  35. 25
  36. 3783
  37. 25
  38. 92
  39. 2880
  40. 32

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