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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 995 · 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 father is 51 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  2. 2.What is the value of 10⁵ × 10⁻¹? =
  3. 3.Use (a + b)² = a² + 2ab + b² to find 52².
  4. 4.The sum of three consecutive whole numbers is 117. What is the smallest of them?
  5. 5.What is the difference between the compound interest and the simple interest on ₹52800 at 15% per year for 2 years (in ₹)?
  6. 6.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  7. 7.How many whole numbers lie between 9² and 10²?
  8. 8.What is the smallest whole number by which 320 must be divided to get a perfect square?
  9. 9.Which of these is a perfect cube? (a) 155 (b) 125 (c) 178
  10. 10.The length of a rectangle is 5 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  11. 11.Write 4.7 × 10⁻² as a decimal. =
  12. 12.What is the value of 3² × 3⁻¹? =
  13. 13.What is the value of 10⁵? =
  14. 14.2.4 × 10⁷ =
  15. 15.What is the value of 2⁷? =
  16. 16.Use (a − b)² = a² − 2ab + b² to find 23².
  17. 17.Write 6.6 × 10⁻¹ as a decimal. =
  18. 18.Use (a + b)(a − b) = a² − b² to find 59 × 41.
  19. 19.What is the value of 5⁴ × 5⁻⁶? =
  20. 20.A town has 47500 people. The population grows by 8% every year. What will the population be after 2 years?
  21. 21.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect square? (a) 1081 (b) 1040 (c) 1024
  23. 23.The sum of four consecutive whole numbers is 178. What is the smallest of them?
  24. 24.Solve: 4(n − 4) = n + 2. What is n?
  25. 25.Solve: p/5 + p/3 = 40. What is p?
  26. 26.Write 5¹¹ ÷ 5⁴ as a single power 5ⁿ. What is n?
  27. 27.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  28. 28.What is the difference between the compound interest and the simple interest on ₹40000 at 15% per year for 2 years (in ₹)?
  29. 29.Write 3.2 × 10⁻³ as a decimal. =
  30. 30.A square garden has an area of 36 square m. How long is each side (in m)?
  31. 31.Write 6,50,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  32. 32.What amount will ₹32100 grow to in 2 years at 20% per year compound interest (in ₹)?
  33. 33.How many whole numbers lie between 6² and 7²?
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.A town has 36700 people. The population grows by 12% every year. What will the population be after 1 year?
  36. 36.A trapezium has an area of 210 square cm. Its parallel sides are 18 cm and 10 cm. What is the distance between them (in cm)?
  37. 37.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
  38. 38.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  39. 39.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  40. 40.What is the value of 8²? =

Answer key

  1. 12
  2. 10000
  3. 2704
  4. 38
  5. 1188
  6. 4
  7. 18
  8. 5
  9. 125
  10. 19
  11. 0.047
  12. 3
  13. 100000
  14. 24000000
  15. 128
  16. 529
  17. 0.66
  18. 2419
  19. 1/25
  20. 55404
  21. 6
  22. 1024
  23. 43
  24. 6
  25. 75
  26. 7
  27. 529
  28. 900
  29. 0.0032
  30. 6
  31. 7
  32. 46224
  33. 12
  34. 64
  35. 41104
  36. 15
  37. 676
  38. 294
  39. 15
  40. 64

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