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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 462 · 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.Which of these is a perfect square? (a) 576 (b) 589 (c) 619
  2. 2.What is the value of 2⁻⁴ (as a fraction)? =
  3. 3.What is 78²? =
  4. 4.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 640 must be divided to get a perfect square?
  6. 6.What is 2³? =
  7. 7.What is 12³? =
  8. 8.Find the value of x² + 2xy + y² when x = 4 and y = 2.
  9. 9.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  10. 10.A trapezium has an area of 39 square cm. Its parallel sides are 4 cm and 2 cm. What is the distance between them (in cm)?
  11. 11.What is the value of (3/7)⁻²? =
  12. 12.Solve: 6p + 6 = 4p + 22. What is p?
  13. 13.What is the value of 2¹⁰? =
  14. 14.Solve: 4p + 9 = p + 18. What is p?
  15. 15.Find the compound interest on ₹22500 at 4% per year for 2 years, compounded every year (in ₹).
  16. 16.A trapezium has parallel sides of 24 cm and 18 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  17. 17.If a − b = 4 and ab = 96, what is a² + b²?
  18. 18.A scooter is worth ₹40000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  19. 19.Use (a − b)² = a² − 2ab + b² to find 23².
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  23. 23.Solve: 8y + 2 = 7y + 3. What is y?
  24. 24.Which of these is a perfect square? (a) 113 (b) 100 (c) 114
  25. 25.A square garden has an area of 256 square m. How long is each side (in m)?
  26. 26.Solve: 4(x − 2) = 2x + 12. What is x?
  27. 27.Write 8,60,000 in standard form as 8.6 × 10ⁿ. What is n?
  28. 28.What is √2025? =
  29. 29.What is the value of 3⁶? =
  30. 30.If a + b = 3 and ab = 2, what is a² + b²?
  31. 31.Which of these is a perfect square? (a) 1037 (b) 1064 (c) 1024
  32. 32.What is the difference between the compound interest and the simple interest on ₹32500 at 8% per year for 2 years (in ₹)?
  33. 33.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  34. 34.Use a² − b² = (a + b)(a − b) to find 21² − 11².
  35. 35.What is 98²? =
  36. 36.What is 17³? =
  37. 37.What is the smallest whole number by which 162 must be divided to get a perfect square?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 103².
  39. 39.What is the value of 2² × 2⁻⁵? =
  40. 40.A trapezium has an area of 55 square cm. Its parallel sides are 13 cm and 9 cm. What is the distance between them (in cm)?

Answer key

  1. 576
  2. 1/16
  3. 6084
  4. 9
  5. 10
  6. 8
  7. 1728
  8. 36
  9. 529
  10. 13
  11. 49/9
  12. 8
  13. 1024
  14. 3
  15. 1836
  16. 63
  17. 208
  18. 24565
  19. 529
  20. 19
  21. 125
  22. 5
  23. 1
  24. 100
  25. 16
  26. 10
  27. 5
  28. 45
  29. 729
  30. 5
  31. 1024
  32. 208
  33. 5
  34. 320
  35. 9604
  36. 4913
  37. 2
  38. 10609
  39. 1/8
  40. 5

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