← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 656 · 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.Find the value of x² + 2xy + y² when x = 6 and y = 2.
  2. 2.Find the value of x² − y² when x = 12 and y = 10.
  3. 3.Write 980 in standard form as 9.8 × 10ⁿ. What is n?
  4. 4.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  5. 5.The sum of two consecutive whole numbers is 65. What is the largest of them?
  6. 6.Use a² − b² = (a + b)(a − b) to find 70² − 50².
  7. 7.What is ∛13824? =
  8. 8.What is the difference between the compound interest and the simple interest on ₹15200 at 5% per year for 2 years (in ₹)?
  9. 9.Solve: 4(y − 3) = 3y + 7. What is y?
  10. 10.How many whole numbers lie between 32² and 33²?
  11. 11.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.What amount will ₹18400 grow to in 1 year at 8% per year compound interest (in ₹)?
  15. 15.What is √5041? =
  16. 16.Which of these is a perfect cube? (a) 1426 (b) 1331 (c) 1480
  17. 17.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  18. 18.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  19. 19.How many whole numbers lie between 46² and 47²?
  20. 20.A square garden has an area of 49 square m. How long is each side (in m)?
  21. 21.Write 810 in standard form as 8.1 × 10ⁿ. What is n?
  22. 22.What is the smallest whole number by which 27 must be divided to get a perfect square?
  23. 23.What is 5³? =
  24. 24.What is ∛3375? =
  25. 25.What is the value of 3³ × 3⁻¹? =
  26. 26.Use (a + b)² = a² + 2ab + b² to find 32².
  27. 27.Solve: 6(t − 5) = 5t + 9. What is t?
  28. 28.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.What amount will ₹16500 grow to in 1 year at 10% per year compound interest (in ₹)?
  30. 30.Write 9⁷ ÷ 9⁴ as a single power 9ⁿ. What is n?
  31. 31.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  32. 32.A father is 12 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  33. 33.If a + b = 7 and ab = 12, what is a² + b²?
  34. 34.Use (a − b)² = a² − 2ab + b² to find 81².
  35. 35.Write (8⁹)⁴ as a single power 8ⁿ. What is n?
  36. 36.A father is 38 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  37. 37.A scooter is worth ₹57600. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  38. 38.A square garden has an area of 196 square m. How long is each side (in m)?
  39. 39.What is the value of 2²? =
  40. 40.What is the value of 3² × 3⁻¹? =

Answer key

  1. 64
  2. 44
  3. 2
  4. 8
  5. 33
  6. 2400
  7. 24
  8. 38
  9. 19
  10. 64
  11. 9
  12. 8
  13. 216
  14. 19872
  15. 71
  16. 1331
  17. 529
  18. 144
  19. 92
  20. 7
  21. 2
  22. 3
  23. 125
  24. 15
  25. 9
  26. 1024
  27. 39
  28. 78
  29. 18150
  30. 3
  31. 4
  32. 8
  33. 25
  34. 6561
  35. 36
  36. 12
  37. 24300
  38. 14
  39. 4
  40. 3

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets