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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 680 · 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: 6p + 7 = p + 22. What is p?
  2. 2.What is the difference between the compound interest and the simple interest on ₹18400 at 5% per year for 2 years (in ₹)?
  3. 3.Solve: y/5 + y/3 = 64. What is y?
  4. 4.What is the value of (1/8)⁻¹? =
  5. 5.What amount will ₹46400 grow to in 3 years at 25% per year compound interest (in ₹)?
  6. 6.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  7. 7.A trapezium has parallel sides of 15 cm and 18 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  8. 8.Write 3² × 3⁸ as a single power 3ⁿ. What is n?
  9. 9.A trapezium has parallel sides of 8 cm and 9 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 83².
  11. 11.Solve: 8n + 6 = n + 13. What is n?
  12. 12.What is 21²? =
  13. 13.What is 53²? =
  14. 14.Which of these is a perfect square? (a) 881 (b) 841 (c) 864
  15. 15.What is the smallest whole number by which 275 must be multiplied to get a perfect square?
  16. 16.What is the value of 5⁻¹ (as a fraction)? =
  17. 17.Which of these is a perfect square? (a) 169 (b) 182 (c) 172
  18. 18.What is 68²? =
  19. 19.Write 5² × 5⁹ as a single power 5ⁿ. What is n?
  20. 20.What is the difference between the compound interest and the simple interest on ₹20000 at 8% per year for 2 years (in ₹)?
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.How many whole numbers lie between 40² and 41²?
  23. 23.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  24. 24.Write 390 in standard form as 3.9 × 10ⁿ. What is n?
  25. 25.A town has 5200 people. The population grows by 4% every year. What will the population be after 1 year?
  26. 26.6.5 × 10² =
  27. 27.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  28. 28.What is ∛9261? =
  29. 29.What is the value of 5⁶ × 5⁻⁴? =
  30. 30.What is the difference between the compound interest and the simple interest on ₹9800 at 10% per year for 2 years (in ₹)?
  31. 31.What is √841? =
  32. 32.What is ∛4096? =
  33. 33.Write (2⁹)² as a single power 2ⁿ. What is n?
  34. 34.Solve: 6(m − 1) = 5m + 4. What is m?
  35. 35.Use a² − b² = (a + b)(a − b) to find 86² − 30².
  36. 36.Use (a − b)² = a² − 2ab + b² to find 22².
  37. 37.What is the value of 2¹⁶? =
  38. 38.Write (6³)⁹ as a single power 6ⁿ. What is n?
  39. 39.What is the smallest whole number by which 325 must be multiplied to get a perfect square?
  40. 40.The sum of three consecutive whole numbers is 99. What is the largest of them?

Answer key

  1. 3
  2. 46
  3. 120
  4. 8
  5. 90625
  6. 5
  7. 264
  8. 10
  9. 136
  10. 6889
  11. 1
  12. 441
  13. 2809
  14. 841
  15. 11
  16. 1/5
  17. 169
  18. 4624
  19. 11
  20. 128
  21. 27
  22. 80
  23. 180
  24. 2
  25. 5408
  26. 650
  27. 5
  28. 21
  29. 25
  30. 98
  31. 29
  32. 16
  33. 18
  34. 10
  35. 6496
  36. 484
  37. 65536
  38. 27
  39. 13
  40. 34

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