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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 457 · 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.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect square? (a) 1012 (b) 976 (c) 961
  3. 3.A room is 10 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.Write 7,80,000 in standard form as 7.8 × 10ⁿ. What is n?
  5. 5.What is the difference between the compound interest and the simple interest on ₹38800 at 15% per year for 2 years (in ₹)?
  6. 6.What is the difference between the compound interest and the simple interest on ₹5000 at 12% per year for 2 years (in ₹)?
  7. 7.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  8. 8.What is the smallest whole number by which 735 must be multiplied to get a perfect square?
  9. 9.Use (a − b)² = a² − 2ab + b² to find 47².
  10. 10.What is 4³? =
  11. 11.Use (a + b)² = a² + 2ab + b² to find 98².
  12. 12.What is 53²? =
  13. 13.Use (a + b)² = a² + 2ab + b² to find 16².
  14. 14.Write 6.3 × 10⁻¹ as a decimal. =
  15. 15.A trapezium has parallel sides of 20 cm and 26 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  16. 16.What is 90²? =
  17. 17.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
  18. 18.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  19. 19.What is the value of 2⁻⁵ (as a fraction)? =
  20. 20.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  21. 21.Use (a − b)² = a² − 2ab + b² to find 69².
  22. 22.The sum of three consecutive whole numbers is 150. What is the largest of them?
  23. 23.Solve: p/5 + p/2 = 14. What is p?
  24. 24.Write 8.5 × 10⁻³ as a decimal. =
  25. 25.Which of these is a perfect cube? (a) 2197 (b) 2346 (c) 2662
  26. 26.Find the compound interest on ₹44500 at 12% per year for 1 year, compounded every year (in ₹).
  27. 27.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
  28. 28.What is the smallest whole number by which 96 must be divided to get a perfect square?
  29. 29.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  30. 30.A cuboid is 4 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  31. 31.What is √1521? =
  32. 32.A cuboid is 13 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  33. 33.Write 6.3 × 10⁻⁴ as a decimal. =
  34. 34.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  35. 35.A cuboid is 12 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.Use (a + b)(a − b) = a² − b² to find 105 × 95.
  37. 37.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  38. 38.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  39. 39.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
  40. 40.Solve: 6(x − 1) = x + 19. What is x?

Answer key

  1. 8
  2. 961
  3. 120
  4. 5
  5. 873
  6. 72
  7. 16
  8. 15
  9. 2209
  10. 64
  11. 9604
  12. 2809
  13. 256
  14. 0.63
  15. 161
  16. 8100
  17. 32
  18. 144
  19. 1/32
  20. 384
  21. 4761
  22. 51
  23. 20
  24. 0.0085
  25. 2197
  26. 5340
  27. 3
  28. 6
  29. 3
  30. 88
  31. 39
  32. 398
  33. 0.00063
  34. 14
  35. 402
  36. 9975
  37. 3
  38. 6
  39. 13
  40. 5

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