← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 790 · 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.Solve: 5(y − 4) = 3y + 2. What is y?
  2. 2.Write 7³ × 7⁷ as a single power 7ⁿ. What is n?
  3. 3.What is 11³? =
  4. 4.What is ∛343? =
  5. 5.A square garden has an area of 2500 square m. How long is each side (in m)?
  6. 6.A trapezium has parallel sides of 10 cm and 25 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  7. 7.Find the value of x² − y² when x = 12 and y = 6.
  8. 8.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  9. 9.A room is 10 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.Which of these is a perfect square? (a) 1189 (b) 1220 (c) 1156
  11. 11.Use (a + b)² = a² + 2ab + b² to find 26².
  12. 12.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  13. 13.Write 9¹⁴ ÷ 9⁶ as a single power 9ⁿ. What is n?
  14. 14.What is the difference between the compound interest and the simple interest on ₹7600 at 15% per year for 2 years (in ₹)?
  15. 15.What is 71²? =
  16. 16.What is the difference between the compound interest and the simple interest on ₹18300 at 20% per year for 2 years (in ₹)?
  17. 17.The length of a rectangle is 11 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
  18. 18.Solve: 6(p − 5) = 2p + 22. What is p?
  19. 19.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  21. 21.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  22. 22.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  23. 23.A trapezium has an area of 20 square cm. Its parallel sides are 12 cm and 8 cm. What is the distance between them (in cm)?
  24. 24.What is the value of 3¹⁰? =
  25. 25.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  26. 26.Solve: 4y + 5 = 3y + 19. What is y?
  27. 27.If a + b = 9 and ab = 14, what is a² + b²?
  28. 28.Use a² − b² = (a + b)(a − b) to find 95² − 13².
  29. 29.Solve: 7n + 19 = 6n + 24. What is n?
  30. 30.What amount will ₹43200 grow to in 3 years at 25% per year compound interest (in ₹)?
  31. 31.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  32. 32.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  33. 33.What is 12³? =
  34. 34.Find the compound interest on ₹57500 at 8% per year for 2 years, compounded every year (in ₹).
  35. 35.What is 52²? =
  36. 36.A town has 35000 people. The population grows by 20% every year. What will the population be after 3 years?
  37. 37.If a + b = 13 and ab = 30, what is a² + b²?
  38. 38.What is the value of 2⁻³ (as a fraction)? =
  39. 39.Write (4⁸)³ as a single power 4ⁿ. What is n?
  40. 40.What is 9³? =

Answer key

  1. 11
  2. 10
  3. 1331
  4. 7
  5. 50
  6. 280
  7. 108
  8. 1734
  9. 180
  10. 1156
  11. 676
  12. 90
  13. 8
  14. 171
  15. 5041
  16. 732
  17. 28
  18. 13
  19. 216
  20. 9
  21. 784
  22. 11
  23. 2
  24. 59049
  25. 20
  26. 14
  27. 53
  28. 8856
  29. 5
  30. 84375
  31. 529
  32. 7
  33. 1728
  34. 9568
  35. 2704
  36. 60480
  37. 109
  38. 1/8
  39. 24
  40. 729

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