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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 34 · 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 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.A father is 30 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  3. 3.If a + b = 7 and ab = 12, what is a² + b²?
  4. 4.What amount will ₹30600 grow to in 2 years at 20% per year compound interest (in ₹)?
  5. 5.A trapezium has parallel sides of 20 cm and 5 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  6. 6.Use (a − b)² = a² − 2ab + b² to find 98².
  7. 7.The diagonals of a rhombus are 12 cm and 15 cm. What is its area (in square cm)?
  8. 8.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  9. 9.What amount will ₹43800 grow to in 1 year at 5% per year compound interest (in ₹)?
  10. 10.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  11. 11.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
  12. 12.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  13. 13.What is √8464? =
  14. 14.Which of these is a perfect cube? (a) 3418 (b) 3425 (c) 3375
  15. 15.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.The sum of two consecutive whole numbers is 41. What is the smallest of them?
  17. 17.Write 29,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  18. 18.A square garden has an area of 676 square m. How long is each side (in m)?
  19. 19.What is 51²? =
  20. 20.What is the value of 2⁻¹ (as a fraction)? =
  21. 21.What is the smallest whole number by which 960 must be divided to get a perfect square?
  22. 22.Solve: 5y + 4 = 3y + 26. What is y?
  23. 23.The sum of four consecutive whole numbers is 38. What is the largest of them?
  24. 24.What is 84²? =
  25. 25.A cuboid is 15 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  26. 26.What amount will ₹50000 grow to in 2 years at 4% per year compound interest (in ₹)?
  27. 27.Which of these is a perfect square? (a) 776 (b) 751 (c) 729
  28. 28.What is the value of 2⁴? =
  29. 29.Write 4¹⁴ ÷ 4⁵ as a single power 4ⁿ. What is n?
  30. 30.Which of these is a perfect square? (a) 318 (b) 313 (c) 289
  31. 31.What is 6³? =
  32. 32.Write 9¹² ÷ 9⁴ as a single power 9ⁿ. What is n?
  33. 33.What is the value of 3²? =
  34. 34.What amount will ₹56000 grow to in 3 years at 25% per year compound interest (in ₹)?
  35. 35.What amount will ₹14400 grow to in 3 years at 25% per year compound interest (in ₹)?
  36. 36.If a + b = 12 and ab = 32, what is a² + b²?
  37. 37.Which of these is a perfect square? (a) 484 (b) 517 (c) 505
  38. 38.What is 10³? =
  39. 39.What is the smallest whole number by which 50 must be divided to get a perfect square?
  40. 40.Write (3⁶)⁶ as a single power 3ⁿ. What is n?

Answer key

  1. 8
  2. 9
  3. 25
  4. 44064
  5. 75
  6. 9604
  7. 90
  8. 25
  9. 45990
  10. 5
  11. 676
  12. 7
  13. 92
  14. 3375
  15. 8
  16. 20
  17. 6
  18. 26
  19. 2601
  20. 1/2
  21. 15
  22. 11
  23. 11
  24. 7056
  25. 414
  26. 54080
  27. 729
  28. 16
  29. 9
  30. 289
  31. 216
  32. 8
  33. 9
  34. 109375
  35. 28125
  36. 80
  37. 484
  38. 1000
  39. 2
  40. 36

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