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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 15 · 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.Which of these is a perfect cube? (a) 34 (b) 32 (c) 27
  2. 2.Write 65,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  3. 3.Use a² − b² = (a + b)(a − b) to find 35² − 7².
  4. 4.What is the value of 8²? =
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.What is the value of 2⁴ × 2⁻⁴? =
  7. 7.Find the compound interest on ₹7500 at 4% per year for 2 years, compounded every year (in ₹).
  8. 8.Which of these is a perfect cube? (a) 932 (b) 729 (c) 959
  9. 9.A father is 18 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  10. 10.A room is 3 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  11. 11.Solve: m/5 + m/6 = 77. What is m?
  12. 12.Use a² − b² = (a + b)(a − b) to find 23² − 8².
  13. 13.Solve: 5x + 15 = 4x + 30. What is x?
  14. 14.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  17. 17.What is the difference between the compound interest and the simple interest on ₹35300 at 10% per year for 2 years (in ₹)?
  18. 18.9.3 × 10⁴ =
  19. 19.What is ∛2744? =
  20. 20.Solve: 6(y − 5) = 3y + 39. What is y?
  21. 21.What is the smallest whole number by which 468 must be divided to get a perfect square?
  22. 22.Solve: 4(n − 1) = n + 17. What is n?
  23. 23.The sum of two consecutive whole numbers is 107. What is the largest of them?
  24. 24.Write 5.7 × 10⁻⁴ as a decimal. =
  25. 25.What is √1849? =
  26. 26.Write 2⁸ ÷ 2² as a single power 2ⁿ. What is n?
  27. 27.Use (a + b)(a − b) = a² − b² to find 43 × 37.
  28. 28.Use a² − b² = (a + b)(a − b) to find 59² − 6².
  29. 29.Solve: 5(p − 2) = 3p + 14. What is p?
  30. 30.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  31. 31.Which of these is a perfect square? (a) 180 (b) 169 (c) 185
  32. 32.Which of these is a perfect cube? (a) 1331 (b) 1527 (c) 1340
  33. 33.Which of these is a perfect cube? (a) 84 (b) 69 (c) 64
  34. 34.A cuboid is 8 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.A square garden has an area of 2304 square m. How long is each side (in m)?
  36. 36.What is 19³? =
  37. 37.How many whole numbers lie between 43² and 44²?
  38. 38.Use (a − b)² = a² − 2ab + b² to find 12².
  39. 39.Which of these is a perfect square? (a) 221 (b) 196 (c) 202
  40. 40.Use (a + b)² = a² + 2ab + b² to find 88².

Answer key

  1. 27
  2. 6
  3. 1176
  4. 64
  5. 8
  6. 1
  7. 612
  8. 729
  9. 5
  10. 48
  11. 210
  12. 465
  13. 15
  14. 4
  15. 216
  16. 5
  17. 353
  18. 93000
  19. 14
  20. 23
  21. 13
  22. 7
  23. 54
  24. 0.00057
  25. 43
  26. 6
  27. 1591
  28. 3445
  29. 12
  30. 13
  31. 169
  32. 1331
  33. 64
  34. 252
  35. 48
  36. 6859
  37. 86
  38. 144
  39. 196
  40. 7744

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