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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 355 · 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.Find the compound interest on ₹9300 at 5% per year for 1 year, compounded every year (in ₹).
  2. 2.What amount will ₹16400 grow to in 2 years at 5% per year compound interest (in ₹)?
  3. 3.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
  4. 4.The sum of two consecutive whole numbers is 13. What is the largest of them?
  5. 5.Write 7⁷ ÷ 7³ as a single power 7ⁿ. What is n?
  6. 6.Use (a + b)(a − b) = a² − b² to find 97 × 83.
  7. 7.Write 4⁸ ÷ 4³ as a single power 4ⁿ. What is n?
  8. 8.A square garden has an area of 1681 square m. How long is each side (in m)?
  9. 9.Write 8.3 × 10⁻² as a decimal. =
  10. 10.Use a² − b² = (a + b)(a − b) to find 56² − 53².
  11. 11.The diagonals of a rhombus are 22 cm and 26 cm. What is its area (in square cm)?
  12. 12.Solve: 3(m − 1) = m + 11. What is m?
  13. 13.How many whole numbers lie between 17² and 18²?
  14. 14.Write (5⁹)⁵ as a single power 5ⁿ. What is n?
  15. 15.What is the value of 10⁻² (as a fraction)? =
  16. 16.Which of these is a perfect cube? (a) 253 (b) 224 (c) 216
  17. 17.Find the compound interest on ₹4700 at 25% per year for 1 year, compounded every year (in ₹).
  18. 18.A trapezium has parallel sides of 18 cm and 7 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  19. 19.Write 8,100 in standard form as 8.1 × 10ⁿ. What is n?
  20. 20.What is 57²? =
  21. 21.Use (a − b)² = a² − 2ab + b² to find 22².
  22. 22.What is 82²? =
  23. 23.What is the value of 6⁴? =
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.Write 7,10,000 in standard form as 7.1 × 10ⁿ. What is n?
  26. 26.What amount will ₹50200 grow to in 1 year at 8% per year compound interest (in ₹)?
  27. 27.Which of these is a perfect cube? (a) 512 (b) 635 (c) 608
  28. 28.What is √400? =
  29. 29.What amount will ₹50400 grow to in 1 year at 20% per year compound interest (in ₹)?
  30. 30.A trapezium has parallel sides of 25 cm and 12 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  31. 31.What is 19²? =
  32. 32.The diagonals of a rhombus are 28 cm and 27 cm. What is its area (in square cm)?
  33. 33.Write 3,10,00,000 in standard form as 3.1 × 10ⁿ. What is n?
  34. 34.What is the value of 4⁸? =
  35. 35.A trapezium has an area of 208 square cm. Its parallel sides are 7 cm and 25 cm. What is the distance between them (in cm)?
  36. 36.What is the smallest whole number by which 567 must be multiplied to get a perfect square?
  37. 37.What is ∛6859? =
  38. 38.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  39. 39.What amount will ₹3000 grow to in 1 year at 25% per year compound interest (in ₹)?
  40. 40.A cuboid is 3 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 465
  2. 18081
  3. 5
  4. 7
  5. 4
  6. 8051
  7. 5
  8. 41
  9. 0.083
  10. 327
  11. 286
  12. 7
  13. 34
  14. 45
  15. 1/100
  16. 216
  17. 1175
  18. 50
  19. 3
  20. 3249
  21. 484
  22. 6724
  23. 1296
  24. 64
  25. 5
  26. 54216
  27. 512
  28. 20
  29. 60480
  30. 259
  31. 361
  32. 378
  33. 7
  34. 65536
  35. 13
  36. 7
  37. 19
  38. 10
  39. 3750
  40. 198

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