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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 913 · 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.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  3. 3.Find the compound interest on ₹52100 at 10% per year for 1 year, compounded every year (in ₹).
  4. 4.Find the compound interest on ₹17400 at 12% per year for 1 year, compounded every year (in ₹).
  5. 5.What is the smallest whole number by which 224 must be multiplied to get a perfect square?
  6. 6.What is √400? =
  7. 7.What is the value of 3³ × 3⁻⁶? =
  8. 8.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  9. 9.What is ∛1000? =
  10. 10.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  11. 11.What is the value of 2⁸? =
  12. 12.What is the value of (2/3)⁻²? =
  13. 13.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  14. 14.Find the value of x² + 2xy + y² when x = 14 and y = 4.
  15. 15.A trapezium has parallel sides of 17 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  16. 16.What is 7³? =
  17. 17.The sum of two consecutive whole numbers is 109. What is the largest of them?
  18. 18.A square garden has an area of 441 square m. How long is each side (in m)?
  19. 19.A trapezium has an area of 250 square cm. Its parallel sides are 17 cm and 8 cm. What is the distance between them (in cm)?
  20. 20.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  21. 21.What is 19³? =
  22. 22.If a − b = 3 and ab = 4, what is a² + b²?
  23. 23.What is the difference between the compound interest and the simple interest on ₹12500 at 8% per year for 2 years (in ₹)?
  24. 24.A town has 48700 people. The population grows by 10% every year. What will the population be after 2 years?
  25. 25.Solve: 6y + 20 = y + 95. What is y?
  26. 26.What is the value of 4³? =
  27. 27.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  28. 28.What is √7921? =
  29. 29.Which of these is a perfect cube? (a) 870 (b) 957 (c) 729
  30. 30.Use a² − b² = (a + b)(a − b) to find 22² − 16².
  31. 31.Use (a + b)² = a² + 2ab + b² to find 34².
  32. 32.If a + b = 12 and ab = 20, what is a² + b²?
  33. 33.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
  34. 34.What is the smallest whole number by which 294 must be multiplied to get a perfect square?
  35. 35.What is the difference between the compound interest and the simple interest on ₹42400 at 15% per year for 2 years (in ₹)?
  36. 36.What is the value of 5² × 5⁻³? =
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What amount will ₹51800 grow to in 1 year at 8% per year compound interest (in ₹)?
  39. 39.Find the compound interest on ₹32500 at 8% per year for 2 years, compounded every year (in ₹).
  40. 40.A cuboid is 15 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?

Answer key

  1. 20
  2. 9
  3. 5210
  4. 2088
  5. 14
  6. 20
  7. 1/27
  8. 17
  9. 10
  10. 72
  11. 256
  12. 9/4
  13. 9
  14. 324
  15. 23
  16. 343
  17. 55
  18. 21
  19. 20
  20. 169
  21. 6859
  22. 17
  23. 80
  24. 58927
  25. 15
  26. 64
  27. 104
  28. 89
  29. 729
  30. 228
  31. 1156
  32. 104
  33. 5
  34. 6
  35. 954
  36. 1/5
  37. 216
  38. 55944
  39. 5408
  40. 792

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