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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 911 · 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.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  3. 3.A square garden has an area of 2500 square m. How long is each side (in m)?
  4. 4.A trapezium has an area of 154 square cm. Its parallel sides are 19 cm and 3 cm. What is the distance between them (in cm)?
  5. 5.Solve: 5(m − 3) = 4m + 11. What is m?
  6. 6.Which of these is a perfect cube? (a) 125 (b) 183 (c) 140
  7. 7.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  8. 8.Which of these is a perfect square? (a) 904 (b) 900 (c) 920
  9. 9.What is √841? =
  10. 10.What is the smallest whole number by which 48 must be divided to get a perfect square?
  11. 11.The sum of two consecutive whole numbers is 63. What is the largest of them?
  12. 12.Write 8¹² ÷ 8⁵ as a single power 8ⁿ. What is n?
  13. 13.What amount will ₹46100 grow to in 2 years at 20% per year compound interest (in ₹)?
  14. 14.Solve: p/6 + p/2 = 16. What is p?
  15. 15.Find the value of x² − 2xy + y² when x = 6 and y = 5.
  16. 16.A cuboid is 7 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  17. 17.Which of these is a perfect cube? (a) 2744 (b) 2908 (c) 3167
  18. 18.Solve: n/5 + n/6 = 55. What is n?
  19. 19.What is the value of 7⁴? =
  20. 20.A cuboid is 9 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  21. 21.Write 1.8 × 10⁻⁴ as a decimal. =
  22. 22.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  23. 23.Which of these is a perfect cube? (a) 64 (b) 65 (c) 66
  24. 24.What is the value of 10⁵ × 10⁻²? =
  25. 25.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
  26. 26.How many whole numbers lie between 23² and 24²?
  27. 27.Find the compound interest on ₹59700 at 8% per year for 1 year, compounded every year (in ₹).
  28. 28.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  29. 29.Find the compound interest on ₹56300 at 15% per year for 1 year, compounded every year (in ₹).
  30. 30.What is the difference between the compound interest and the simple interest on ₹42000 at 15% per year for 2 years (in ₹)?
  31. 31.The diagonals of a rhombus are 20 cm and 13 cm. What is its area (in square cm)?
  32. 32.If a + b = 12 and ab = 20, what is a² + b²?
  33. 33.What is 11³? =
  34. 34.Solve: 6(y − 2) = 2y + 20. What is y?
  35. 35.A town has 59200 people. The population grows by 5% every year. What will the population be after 2 years?
  36. 36.A trapezium has parallel sides of 16 cm and 15 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  37. 37.Use (a + b)(a − b) = a² − b² to find 45 × 35.
  38. 38.What is the value of 5⁶? =
  39. 39.Find the compound interest on ₹43600 at 25% per year for 2 years, compounded every year (in ₹).
  40. 40.Write 1.5 × 10⁻¹ as a decimal. =

Answer key

  1. 64
  2. 150
  3. 50
  4. 14
  5. 26
  6. 125
  7. 6
  8. 900
  9. 29
  10. 3
  11. 32
  12. 7
  13. 66384
  14. 24
  15. 1
  16. 82
  17. 2744
  18. 150
  19. 2401
  20. 382
  21. 0.00018
  22. 529
  23. 64
  24. 1000
  25. 80
  26. 46
  27. 4776
  28. 12
  29. 8445
  30. 945
  31. 130
  32. 104
  33. 1331
  34. 8
  35. 65268
  36. 124
  37. 1575
  38. 15625
  39. 24525
  40. 0.15

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