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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 391 · 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 square garden has an area of 3025 square m. How long is each side (in m)?
  2. 2.What is √8100? =
  3. 3.A room is 12 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.What is the value of 5⁶ × 5⁻⁴? =
  5. 5.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  6. 6.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  7. 7.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  8. 8.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
  9. 9.Write 4² × 4⁴ as a single power 4ⁿ. What is n?
  10. 10.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.Use (a + b)(a − b) = a² − b² to find 98 × 82.
  12. 12.Write (2⁵)² as a single power 2ⁿ. What is n?
  13. 13.Find the compound interest on ₹18600 at 20% per year for 2 years, compounded every year (in ₹).
  14. 14.What is the value of 5² × 5⁻⁴? =
  15. 15.What is the value of 10¹ × 10⁻⁴? =
  16. 16.How many whole numbers lie between 19² and 20²?
  17. 17.Solve: 4(m − 5) = 2m + 26. What is m?
  18. 18.How many whole numbers lie between 36² and 37²?
  19. 19.What amount will ₹37300 grow to in 1 year at 10% per year compound interest (in ₹)?
  20. 20.The sum of two consecutive whole numbers is 53. What is the smallest of them?
  21. 21.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  22. 22.Use (a + b)² = a² + 2ab + b² to find 37².
  23. 23.A trapezium has an area of 52 square cm. Its parallel sides are 4 cm and 9 cm. What is the distance between them (in cm)?
  24. 24.How many whole numbers lie between 48² and 49²?
  25. 25.Use a² − b² = (a + b)(a − b) to find 75² − 72².
  26. 26.If a + b = 14 and ab = 45, what is a² + b²?
  27. 27.What is 11³? =
  28. 28.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  29. 29.Write (5⁸)² as a single power 5ⁿ. What is n?
  30. 30.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  31. 31.What is √2500? =
  32. 32.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  33. 33.What is the value of 3⁶? =
  34. 34.If a + b = 3 and ab = 2, what is a² + b²?
  35. 35.What is the value of 10² × 10⁻⁴? =
  36. 36.What is √3844? =
  37. 37.Write 3.7 × 10⁻¹ as a decimal. =
  38. 38.Find the value of x² − 2xy + y² when x = 7 and y = 4.
  39. 39.Which of these is a perfect square? (a) 1350 (b) 1296 (c) 1315
  40. 40.A trapezium has an area of 80 square cm. Its parallel sides are 7 cm and 25 cm. What is the distance between them (in cm)?

Answer key

  1. 55
  2. 90
  3. 176
  4. 25
  5. 5
  6. 294
  7. 2
  8. 25
  9. 6
  10. 8
  11. 8036
  12. 10
  13. 8184
  14. 1/25
  15. 1/1000
  16. 38
  17. 23
  18. 72
  19. 41030
  20. 26
  21. 7
  22. 1369
  23. 8
  24. 96
  25. 441
  26. 106
  27. 1331
  28. 10
  29. 16
  30. 19
  31. 50
  32. 1536
  33. 729
  34. 5
  35. 1/100
  36. 62
  37. 0.37
  38. 9
  39. 1296
  40. 5

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