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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 955 · 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.Find the value of x² − y² when x = 13 and y = 1.
  2. 2.7.4 × 10⁶ =
  3. 3.Find the compound interest on ₹31700 at 20% per year for 1 year, compounded every year (in ₹).
  4. 4.What is the value of 2¹⁵? =
  5. 5.Use (a − b)² = a² − 2ab + b² to find 73².
  6. 6.The sum of two consecutive whole numbers is 77. What is the smallest of them?
  7. 7.What is the smallest whole number by which 75 must be divided to get a perfect square?
  8. 8.Which of these is a perfect square? (a) 776 (b) 740 (c) 729
  9. 9.What is the smallest whole number by which 192 must be multiplied to get a perfect square?
  10. 10.Use a² − b² = (a + b)(a − b) to find 32² − 1².
  11. 11.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  12. 12.Which of these is a perfect cube? (a) 2197 (b) 2218 (c) 2502
  13. 13.Write 8¹³ ÷ 8⁴ as a single power 8ⁿ. What is n?
  14. 14.Solve: 3m + 13 = m + 31. What is m?
  15. 15.What is √1849? =
  16. 16.What is the difference between the compound interest and the simple interest on ₹45000 at 8% per year for 2 years (in ₹)?
  17. 17.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
  18. 18.If a + b = 14 and ab = 24, what is a² + b²?
  19. 19.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
  20. 20.What is the value of 3¹ × 3⁻²? =
  21. 21.What is √1296? =
  22. 22.What is the smallest whole number by which 150 must be multiplied to get a perfect square?
  23. 23.5.6 × 10² =
  24. 24.A father is 24 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?
  25. 25.The diagonals of a rhombus are 28 cm and 27 cm. What is its area (in square cm)?
  26. 26.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  27. 27.Write 66,000 in standard form as 6.6 × 10ⁿ. What is n?
  28. 28.Find the compound interest on ₹27500 at 20% per year for 3 years, compounded every year (in ₹).
  29. 29.Solve: 3(y − 5) = y + 1. What is y?
  30. 30.What is the value of 3⁴ × 3⁻¹? =
  31. 31.The sum of two consecutive whole numbers is 13. What is the largest of them?
  32. 32.What is the value of (2/3)⁻¹? =
  33. 33.Write 8⁷ ÷ 8⁵ as a single power 8ⁿ. What is n?
  34. 34.Find the compound interest on ₹39200 at 10% per year for 2 years, compounded every year (in ₹).
  35. 35.What is the value of 7²? =
  36. 36.Solve: 9x + 18 = 4x + 58. What is x?
  37. 37.A room is 7 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.Solve: 9p + 13 = p + 117. What is p?
  39. 39.Write 9.8 × 10⁻² as a decimal. =
  40. 40.Write 9¹⁰ ÷ 9⁷ as a single power 9ⁿ. What is n?

Answer key

  1. 168
  2. 7400000
  3. 6340
  4. 32768
  5. 5329
  6. 38
  7. 3
  8. 729
  9. 3
  10. 1023
  11. 55
  12. 2197
  13. 9
  14. 9
  15. 43
  16. 288
  17. 676
  18. 148
  19. 46305
  20. 1/3
  21. 36
  22. 6
  23. 560
  24. 2
  25. 378
  26. 2
  27. 4
  28. 20020
  29. 8
  30. 27
  31. 7
  32. 3/2
  33. 2
  34. 8232
  35. 49
  36. 8
  37. 130
  38. 13
  39. 0.098
  40. 3

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