← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 100 · 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 value of 2¹¹? =
  2. 2.What is the value of 7²? =
  3. 3.Write (8⁸)⁴ as a single power 8ⁿ. What is n?
  4. 4.What is the value of 8³? =
  5. 5.Write 60,000 in standard form as 6 × 10ⁿ. What is n?
  6. 6.Use (a + b)(a − b) = a² − b² to find 38 × 22.
  7. 7.Solve: 6(p − 3) = 3p + 9. What is p?
  8. 8.What is the value of 2¹⁴? =
  9. 9.A cuboid is 13 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  10. 10.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  11. 11.What is √9025? =
  12. 12.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  13. 13.What is 72²? =
  14. 14.What is the difference between the compound interest and the simple interest on ₹5200 at 5% per year for 2 years (in ₹)?
  15. 15.Find the value of x² − y² when x = 15 and y = 8.
  16. 16.Write 9¹¹ ÷ 9⁴ as a single power 9ⁿ. What is n?
  17. 17.A square garden has an area of 1764 square m. How long is each side (in m)?
  18. 18.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  19. 19.A scooter is worth ₹36700. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  20. 20.Find the value of x² + 2xy + y² when x = 8 and y = 2.
  21. 21.What is the value of 2³ × 2⁻³? =
  22. 22.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 375 (b) 343 (c) 488
  24. 24.Which of these is a perfect square? (a) 1369 (b) 1380 (c) 1377
  25. 25.A cuboid is 6 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  26. 26.A cuboid is 10 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 270 square cm. Its parallel sides are 30 cm and 15 cm. What is the distance between them (in cm)?
  28. 28.What is the value of 10¹ × 10⁻¹? =
  29. 29.Write 3 × 10⁻² as a decimal. =
  30. 30.Find the compound interest on ₹16000 at 20% per year for 3 years, compounded every year (in ₹).
  31. 31.What is √961? =
  32. 32.Solve: 3m + 19 = m + 31. What is m?
  33. 33.A square garden has an area of 625 square m. How long is each side (in m)?
  34. 34.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
  35. 35.Find the value of x² − 2xy + y² when x = 13 and y = 10.
  36. 36.Which of these is a perfect square? (a) 1600 (b) 1644 (c) 1666
  37. 37.If a + b = 16 and ab = 60, what is a² + b²?
  38. 38.Which of these is a perfect square? (a) 263 (b) 256 (c) 270
  39. 39.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  40. 40.What is the difference between the compound interest and the simple interest on ₹18800 at 10% per year for 2 years (in ₹)?

Answer key

  1. 2048
  2. 49
  3. 32
  4. 512
  5. 4
  6. 836
  7. 9
  8. 16384
  9. 444
  10. 900
  11. 95
  12. 9
  13. 5184
  14. 13
  15. 161
  16. 7
  17. 42
  18. 7
  19. 29360
  20. 100
  21. 1
  22. 7
  23. 343
  24. 1369
  25. 292
  26. 184
  27. 12
  28. 1
  29. 0.03
  30. 11648
  31. 31
  32. 6
  33. 25
  34. 196
  35. 9
  36. 1600
  37. 136
  38. 256
  39. 3
  40. 188

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets