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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 373 · 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 32²? =
  2. 2.Find the value of x² + 2xy + y² when x = 15 and y = 12.
  3. 3.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 252 square cm. Its parallel sides are 19 cm and 17 cm. What is the distance between them (in cm)?
  5. 5.Use a² − b² = (a + b)(a − b) to find 96² − 13².
  6. 6.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  7. 7.A cuboid is 10 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  8. 8.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
  9. 9.What is the value of (2/5)⁻¹? =
  10. 10.The sum of four consecutive whole numbers is 174. What is the smallest of them?
  11. 11.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
  12. 12.A room is 4 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  13. 13.Which of these is a perfect cube? (a) 2197 (b) 2422 (c) 2645
  14. 14.What is the difference between the compound interest and the simple interest on ₹4000 at 15% per year for 2 years (in ₹)?
  15. 15.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  16. 16.What is the smallest whole number by which 192 must be divided to get a perfect square?
  17. 17.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  18. 18.What is the value of 3³ × 3⁻⁶? =
  19. 19.Use (a + b)² = a² + 2ab + b² to find 46².
  20. 20.Write 6⁹ ÷ 6² as a single power 6ⁿ. What is n?
  21. 21.A town has 28500 people. The population grows by 15% every year. What will the population be after 1 year?
  22. 22.Write 2.8 × 10⁻⁴ as a decimal. =
  23. 23.Solve: x/5 + x/3 = 48. What is x?
  24. 24.What is √900? =
  25. 25.What is the difference between the compound interest and the simple interest on ₹16800 at 5% per year for 2 years (in ₹)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 99².
  27. 27.How many whole numbers lie between 24² and 25²?
  28. 28.What is √4096? =
  29. 29.A cuboid is 3 cm long, 9 cm wide and 9 cm high. What is its total surface area (in square cm)?
  30. 30.What is the value of 2¹³? =
  31. 31.Solve: t/3 + t/4 = 42. What is t?
  32. 32.What is the value of 3¹ × 3⁻²? =
  33. 33.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  34. 34.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  35. 35.The diagonals of a rhombus are 6 cm and 10 cm. What is its area (in square cm)?
  36. 36.Use (a − b)² = a² − 2ab + b² to find 55².
  37. 37.Use a² − b² = (a + b)(a − b) to find 60² − 23².
  38. 38.Write 6 × 10⁻² as a decimal. =
  39. 39.What is the value of 10² × 10⁻⁶? =
  40. 40.A trapezium has parallel sides of 12 cm and 10 cm, and the distance between them is 3 cm. What is its area (in square cm)?

Answer key

  1. 1024
  2. 729
  3. 15
  4. 14
  5. 9047
  6. 13
  7. 400
  8. 24334
  9. 5/2
  10. 42
  11. 112
  12. 90
  13. 2197
  14. 90
  15. 49
  16. 3
  17. 18
  18. 1/27
  19. 2116
  20. 7
  21. 32775
  22. 0.00028
  23. 90
  24. 30
  25. 42
  26. 9801
  27. 48
  28. 64
  29. 270
  30. 8192
  31. 72
  32. 1/3
  33. 7
  34. 2
  35. 30
  36. 3025
  37. 3071
  38. 0.06
  39. 1/10000
  40. 33

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