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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 869 · 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.What is the difference between the compound interest and the simple interest on ₹24800 at 15% per year for 2 years (in ₹)?
  2. 2.The diagonals of a rhombus are 4 cm and 27 cm. What is its area (in square cm)?
  3. 3.Use (a + b)(a − b) = a² − b² to find 39 × 21.
  4. 4.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  5. 5.Use a² − b² = (a + b)(a − b) to find 25² − 18².
  6. 6.What is the value of 3⁻⁶ (as a fraction)? =
  7. 7.If a − b = 1 and ab = 110, what is a² + b²?
  8. 8.A square garden has an area of 2209 square m. How long is each side (in m)?
  9. 9.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 27 must be divided to get a perfect square?
  11. 11.What is 91²? =
  12. 12.The sum of four consecutive whole numbers is 246. What is the largest of them?
  13. 13.Write 1,10,000 in standard form as 1.1 × 10ⁿ. What is n?
  14. 14.What is ∛13824? =
  15. 15.Write (4⁷)⁵ as a single power 4ⁿ. What is n?
  16. 16.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  17. 17.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 539 must be divided to get a perfect square?
  21. 21.If a − b = 8 and ab = 9, what is a² + b²?
  22. 22.The sum of three consecutive whole numbers is 126. What is the smallest of them?
  23. 23.What is 48²? =
  24. 24.Solve: m/4 + m/5 = 36. What is m?
  25. 25.What amount will ₹16000 grow to in 3 years at 25% per year compound interest (in ₹)?
  26. 26.Which of these is a perfect cube? (a) 2946 (b) 2744 (c) 2851
  27. 27.The sum of four consecutive whole numbers is 218. What is the largest of them?
  28. 28.Use (a + b)(a − b) = a² − b² to find 62 × 58.
  29. 29.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  30. 30.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  31. 31.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  32. 32.What is the smallest whole number by which 125 must be divided to get a perfect square?
  33. 33.Use (a − b)² = a² − 2ab + b² to find 23².
  34. 34.What is √4096? =
  35. 35.What is 7³? =
  36. 36.Solve: 4(y − 1) = 2y + 14. What is y?
  37. 37.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  38. 38.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.Write 1.7 × 10⁻¹ as a decimal. =
  40. 40.7.6 × 10³ =

Answer key

  1. 558
  2. 54
  3. 819
  4. 25
  5. 301
  6. 1/729
  7. 221
  8. 47
  9. 15
  10. 3
  11. 8281
  12. 63
  13. 5
  14. 24
  15. 35
  16. 4
  17. 2
  18. 5
  19. 64
  20. 11
  21. 82
  22. 41
  23. 2304
  24. 80
  25. 31250
  26. 2744
  27. 56
  28. 3596
  29. 36
  30. 726
  31. 8
  32. 5
  33. 529
  34. 64
  35. 343
  36. 9
  37. 48
  38. 90
  39. 0.17
  40. 7600

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