← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 3 · 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.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  2. 2.What is √1521? =
  3. 3.What is the value of (2/9)⁻²? =
  4. 4.Write 1.3 × 10⁻⁴ as a decimal. =
  5. 5.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  6. 6.A trapezium has parallel sides of 26 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  7. 7.A scooter is worth ₹25000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
  8. 8.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
  9. 9.Write 3² × 3² as a single power 3ⁿ. What is n?
  10. 10.Use (a + b)(a − b) = a² − b² to find 69 × 51.
  11. 11.What is 12²? =
  12. 12.A square garden has an area of 676 square m. How long is each side (in m)?
  13. 13.What is the value of 5⁵ × 5⁻²? =
  14. 14.What is √7744? =
  15. 15.The length of a rectangle is 1 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  16. 16.Solve: 8y + 15 = y + 78. What is y?
  17. 17.Write (5⁹)³ as a single power 5ⁿ. What is n?
  18. 18.Solve: 3m + 12 = 2m + 19. What is m?
  19. 19.What amount will ₹22500 grow to in 2 years at 4% per year compound interest (in ₹)?
  20. 20.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  21. 21.Which of these is a perfect cube? (a) 2197 (b) 2351 (c) 2602
  22. 22.A square garden has an area of 196 square m. How long is each side (in m)?
  23. 23.A town has 17600 people. The population grows by 25% every year. What will the population be after 2 years?
  24. 24.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  25. 25.Which of these is a perfect square? (a) 216 (b) 200 (c) 196
  26. 26.Which of these is a perfect square? (a) 1521 (b) 1539 (c) 1591
  27. 27.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  28. 28.A trapezium has an area of 129 square cm. Its parallel sides are 25 cm and 18 cm. What is the distance between them (in cm)?
  29. 29.What is the value of 9⁵? =
  30. 30.What is √1089? =
  31. 31.A trapezium has parallel sides of 8 cm and 29 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  32. 32.What is √1444? =
  33. 33.Solve: p/6 + p/3 = 15. What is p?
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.What is the value of 4⁶? =
  36. 36.If a + b = 11 and ab = 10, what is a² + b²?
  37. 37.A father is 45 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  38. 38.Use a² − b² = (a + b)(a − b) to find 32² − 30².
  39. 39.Which of these is a perfect square? (a) 169 (b) 186 (c) 174
  40. 40.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 3
  2. 39
  3. 81/4
  4. 0.00013
  5. 12
  6. 212
  7. 19360
  8. 196
  9. 4
  10. 3519
  11. 144
  12. 26
  13. 125
  14. 88
  15. 18
  16. 9
  17. 27
  18. 7
  19. 24336
  20. 4
  21. 2197
  22. 14
  23. 27500
  24. 7
  25. 196
  26. 1521
  27. 5
  28. 6
  29. 59049
  30. 33
  31. 74
  32. 38
  33. 30
  34. 27
  35. 4096
  36. 101
  37. 8
  38. 124
  39. 169
  40. 256

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