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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 122 · 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 big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.How many whole numbers lie between 8² and 9²?
  3. 3.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.Solve: p/3 + p/6 = 6. What is p?
  5. 5.If a − b = 4 and ab = 60, what is a² + b²?
  6. 6.Find the compound interest on ₹20500 at 10% per year for 1 year, compounded every year (in ₹).
  7. 7.What is √144? =
  8. 8.Which of these is a perfect square? (a) 188 (b) 191 (c) 169
  9. 9.What amount will ₹57500 grow to in 2 years at 4% per year compound interest (in ₹)?
  10. 10.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  11. 11.What is the difference between the compound interest and the simple interest on ₹15600 at 5% per year for 2 years (in ₹)?
  12. 12.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  13. 13.Which of these is a perfect square? (a) 753 (b) 774 (c) 729
  14. 14.Write 7⁸ × 7⁵ as a single power 7ⁿ. What is n?
  15. 15.What is the value of 2¹³? =
  16. 16.What is 4³? =
  17. 17.What is ∛8000? =
  18. 18.What is the difference between the compound interest and the simple interest on ₹21300 at 20% per year for 2 years (in ₹)?
  19. 19.What is the value of (2/7)⁻¹? =
  20. 20.What is the value of 2⁶ × 2⁻⁴? =
  21. 21.Use (a + b)(a − b) = a² − b² to find 82 × 78.
  22. 22.What is the smallest whole number by which 343 must be divided to get a perfect square?
  23. 23.Find the compound interest on ₹33200 at 5% per year for 2 years, compounded every year (in ₹).
  24. 24.What amount will ₹22800 grow to in 1 year at 20% per year compound interest (in ₹)?
  25. 25.What is √6561? =
  26. 26.Which of these is a perfect square? (a) 550 (b) 529 (c) 543
  27. 27.Write 4.2 × 10⁻² as a decimal. =
  28. 28.What is the difference between the compound interest and the simple interest on ₹24800 at 25% per year for 2 years (in ₹)?
  29. 29.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
  30. 30.What is the smallest whole number by which 180 must be multiplied to get a perfect square?
  31. 31.A town has 20000 people. The population grows by 12% every year. What will the population be after 2 years?
  32. 32.What is the difference between the compound interest and the simple interest on ₹57500 at 8% per year for 2 years (in ₹)?
  33. 33.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  34. 34.What is the value of 8⁻¹ (as a fraction)? =
  35. 35.Use (a + b)(a − b) = a² − b² to find 76 × 64.
  36. 36.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  37. 37.What is the smallest whole number by which 96 must be divided to get a perfect square?
  38. 38.What amount will ₹41900 grow to in 1 year at 20% per year compound interest (in ₹)?
  39. 39.Solve: 6p + 7 = 5p + 15. What is p?
  40. 40.Which of these is a perfect cube? (a) 351 (b) 343 (c) 347

Answer key

  1. 216
  2. 16
  3. 27
  4. 12
  5. 136
  6. 2050
  7. 12
  8. 169
  9. 62192
  10. 11
  11. 39
  12. 441
  13. 729
  14. 13
  15. 8192
  16. 64
  17. 20
  18. 852
  19. 7/2
  20. 4
  21. 6396
  22. 7
  23. 3403
  24. 27360
  25. 81
  26. 529
  27. 0.042
  28. 1550
  29. 21
  30. 5
  31. 25088
  32. 368
  33. 80
  34. 1/8
  35. 4864
  36. 384
  37. 6
  38. 50280
  39. 8
  40. 343

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