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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 465 · 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 cuboid is 5 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  2. 2.Find the compound interest on ₹16000 at 25% per year for 3 years, compounded every year (in ₹).
  3. 3.How many whole numbers lie between 44² and 45²?
  4. 4.What is ∛6859? =
  5. 5.Find the compound interest on ₹39700 at 5% per year for 1 year, compounded every year (in ₹).
  6. 6.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 8 must be divided to get a perfect square?
  8. 8.What is the value of (1/4)⁻¹? =
  9. 9.The diagonals of a rhombus are 24 cm and 14 cm. What is its area (in square cm)?
  10. 10.A trapezium has parallel sides of 4 cm and 17 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  11. 11.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  12. 12.Use (a + b)² = a² + 2ab + b² to find 22².
  13. 13.If a + b = 9 and ab = 14, what is a² + b²?
  14. 14.What is the difference between the compound interest and the simple interest on ₹18100 at 20% per year for 2 years (in ₹)?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 74².
  16. 16.A cuboid is 15 cm long, 6 cm wide and 4 cm high. What is its total surface area (in square cm)?
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.A father is 24 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  19. 19.What is the difference between the compound interest and the simple interest on ₹2700 at 10% per year for 2 years (in ₹)?
  20. 20.Which of these is a perfect cube? (a) 343 (b) 405 (c) 393
  21. 21.What is 19³? =
  22. 22.A trapezium has an area of 46 square cm. Its parallel sides are 5 cm and 18 cm. What is the distance between them (in cm)?
  23. 23.Solve: 3p + 16 = p + 46. What is p?
  24. 24.2.9 × 10² =
  25. 25.Write 4,90,000 in standard form as 4.9 × 10ⁿ. What is n?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 55².
  27. 27.Write 7.5 × 10⁻¹ as a decimal. =
  28. 28.What is 16³? =
  29. 29.What is the smallest whole number by which 1215 must be divided to get a perfect square?
  30. 30.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  31. 31.Write 5,10,00,000 in standard form as 5.1 × 10ⁿ. What is n?
  32. 32.Find the compound interest on ₹32800 at 15% per year for 1 year, compounded every year (in ₹).
  33. 33.Use (a + b)² = a² + 2ab + b² to find 36².
  34. 34.Solve: 3(p − 2) = 2p + 2. What is p?
  35. 35.Write (6⁷)⁹ as a single power 6ⁿ. What is n?
  36. 36.What is the value of 3⁻³ (as a fraction)? =
  37. 37.Solve: 8y + 11 = 2y + 95. What is y?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 26².
  39. 39.Write 7⁵ × 7⁷ as a single power 7ⁿ. What is n?
  40. 40.Write (6⁶)⁷ as a single power 6ⁿ. What is n?

Answer key

  1. 142
  2. 15250
  3. 88
  4. 19
  5. 1985
  6. 3
  7. 2
  8. 4
  9. 168
  10. 105
  11. 9
  12. 484
  13. 53
  14. 724
  15. 5476
  16. 348
  17. 8
  18. 4
  19. 27
  20. 343
  21. 6859
  22. 4
  23. 15
  24. 290
  25. 5
  26. 3025
  27. 0.75
  28. 4096
  29. 15
  30. 150
  31. 7
  32. 4920
  33. 1296
  34. 8
  35. 63
  36. 1/27
  37. 14
  38. 676
  39. 12
  40. 42

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