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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 843 · 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 trapezium has an area of 296 square cm. Its parallel sides are 24 cm and 13 cm. What is the distance between them (in cm)?
  2. 2.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.Solve: 5(m − 2) = m + 10. What is m?
  4. 4.If a − b = 2 and ab = 99, what is a² + b²?
  5. 5.What amount will ₹6200 grow to in 1 year at 8% per year compound interest (in ₹)?
  6. 6.What amount will ₹52300 grow to in 1 year at 15% per year compound interest (in ₹)?
  7. 7.Use (a + b)(a − b) = a² − b² to find 47 × 33.
  8. 8.What is √5184? =
  9. 9.What is 4³? =
  10. 10.1.9 × 10⁴ =
  11. 11.Find the value of x² − 2xy + y² when x = 13 and y = 9.
  12. 12.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  13. 13.Use (a − b)² = a² − 2ab + b² to find 34².
  14. 14.A square garden has an area of 196 square m. How long is each side (in m)?
  15. 15.What is the value of 2⁶ × 2⁻¹? =
  16. 16.A scooter is worth ₹37000. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  17. 17.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  18. 18.What is the value of 6⁴? =
  19. 19.A trapezium has an area of 168 square cm. Its parallel sides are 30 cm and 26 cm. What is the distance between them (in cm)?
  20. 20.A trapezium has an area of 58 square cm. Its parallel sides are 19 cm and 10 cm. What is the distance between them (in cm)?
  21. 21.What is 93²? =
  22. 22.Use (a + b)(a − b) = a² − b² to find 38 × 22.
  23. 23.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  24. 24.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  25. 25.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  26. 26.What is the value of 10⁵? =
  27. 27.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
  28. 28.Find the compound interest on ₹11000 at 4% per year for 1 year, compounded every year (in ₹).
  29. 29.What is ∛8000? =
  30. 30.Use (a + b)(a − b) = a² − b² to find 109 × 91.
  31. 31.Use (a + b)² = a² + 2ab + b² to find 98².
  32. 32.Find the compound interest on ₹40500 at 15% per year for 1 year, compounded every year (in ₹).
  33. 33.Solve: 5(p − 3) = p + 21. What is p?
  34. 34.Write 1.7 × 10⁻³ as a decimal. =
  35. 35.The sum of three consecutive whole numbers is 171. What is the largest of them?
  36. 36.Use a² − b² = (a + b)(a − b) to find 95² − 52².
  37. 37.Solve: 6(y − 4) = 4y + 24. What is y?
  38. 38.What is 15³? =
  39. 39.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  40. 40.What is √4489? =

Answer key

  1. 16
  2. 8
  3. 5
  4. 202
  5. 6696
  6. 60145
  7. 1551
  8. 72
  9. 64
  10. 19000
  11. 16
  12. 25
  13. 1156
  14. 14
  15. 32
  16. 35150
  17. 900
  18. 1296
  19. 6
  20. 4
  21. 8649
  22. 836
  23. 25
  24. 529
  25. 7
  26. 100000
  27. 1261
  28. 440
  29. 20
  30. 9919
  31. 9604
  32. 6075
  33. 9
  34. 0.0017
  35. 58
  36. 6321
  37. 24
  38. 3375
  39. 16
  40. 67

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