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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 923 · 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 4 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  2. 2.What is the value of 2⁷? =
  3. 3.A father is 12 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  4. 4.What is the smallest whole number by which 640 must be multiplied to get a perfect square?
  5. 5.How many whole numbers lie between 30² and 31²?
  6. 6.Write 2.1 × 10⁻² as a decimal. =
  7. 7.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  8. 8.Solve: 4y + 18 = 2y + 32. What is y?
  9. 9.Which of these is a perfect square? (a) 1024 (b) 1066 (c) 1039
  10. 10.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  11. 11.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  12. 12.What is the value of 5⁴ × 5⁻⁶? =
  13. 13.What is the value of 9³? =
  14. 14.If a + b = 5 and ab = 6, what is a² + b²?
  15. 15.What is the value of 3⁴ × 3⁻⁵? =
  16. 16.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
  17. 17.Solve: n/2 + n/6 = 8. What is n?
  18. 18.A trapezium has parallel sides of 8 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  19. 19.Write 4.2 × 10⁻³ as a decimal. =
  20. 20.A scooter is worth ₹48000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  21. 21.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  22. 22.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  23. 23.A square garden has an area of 1296 square m. How long is each side (in m)?
  24. 24.What is √3600? =
  25. 25.Use (a − b)² = a² − 2ab + b² to find 77².
  26. 26.Use (a − b)² = a² − 2ab + b² to find 46².
  27. 27.What is the value of 10³ × 10⁻⁵? =
  28. 28.Solve: 5(n − 1) = n + 3. What is n?
  29. 29.What is the value of 2⁵ × 2⁻⁵? =
  30. 30.The length of a rectangle is 13 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  31. 31.What amount will ₹25000 grow to in 2 years at 4% per year compound interest (in ₹)?
  32. 32.Use (a + b)² = a² + 2ab + b² to find 83².
  33. 33.Write 6.2 × 10⁻¹ as a decimal. =
  34. 34.What is 24²? =
  35. 35.Solve: 3(x − 3) = 2x + 4. What is x?
  36. 36.A trapezium has an area of 162 square cm. Its parallel sides are 4 cm and 23 cm. What is the distance between them (in cm)?
  37. 37.What amount will ₹20000 grow to in 2 years at 8% per year compound interest (in ₹)?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 104².
  39. 39.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
  40. 40.If a − b = 1 and ab = 6, what is a² + b²?

Answer key

  1. 136
  2. 128
  3. 2
  4. 10
  5. 60
  6. 0.021
  7. 1944
  8. 7
  9. 1024
  10. 14
  11. 1176
  12. 1/25
  13. 729
  14. 13
  15. 1/3
  16. 324
  17. 12
  18. 152
  19. 0.0042
  20. 41154
  21. 7
  22. 225
  23. 36
  24. 60
  25. 5929
  26. 2116
  27. 1/100
  28. 2
  29. 1
  30. 8
  31. 27040
  32. 6889
  33. 0.62
  34. 576
  35. 13
  36. 12
  37. 23328
  38. 10816
  39. 1261
  40. 13

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