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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 76 · 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.How many whole numbers lie between 16² and 17²?
  2. 2.What is the value of 4⁻¹ (as a fraction)? =
  3. 3.Write 900 in standard form as 9 × 10ⁿ. What is n?
  4. 4.What is the smallest whole number by which 245 must be multiplied to get a perfect square?
  5. 5.A square garden has an area of 1369 square m. How long is each side (in m)?
  6. 6.If a − b = 6 and ab = 16, what is a² + b²?
  7. 7.What is the value of 2⁻⁴ (as a fraction)? =
  8. 8.What is 80²? =
  9. 9.A square garden has an area of 289 square m. How long is each side (in m)?
  10. 10.A room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  11. 11.What is the smallest whole number by which 468 must be multiplied to get a perfect square?
  12. 12.A trapezium has parallel sides of 29 cm and 3 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  13. 13.What is the difference between the compound interest and the simple interest on ₹57500 at 8% per year for 2 years (in ₹)?
  14. 14.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  15. 15.The diagonals of a rhombus are 24 cm and 3 cm. What is its area (in square cm)?
  16. 16.Use (a − b)² = a² − 2ab + b² to find 26².
  17. 17.What is √1296? =
  18. 18.If a − b = 1 and ab = 30, what is a² + b²?
  19. 19.Find the value of x² − 2xy + y² when x = 12 and y = 8.
  20. 20.Write 2.4 × 10⁻⁴ as a decimal. =
  21. 21.What is 19³? =
  22. 22.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  23. 23.Find the value of x² − y² when x = 11 and y = 7.
  24. 24.Solve: 4(y − 4) = y + 32. What is y?
  25. 25.Use (a − b)² = a² − 2ab + b² to find 32².
  26. 26.A trapezium has parallel sides of 9 cm and 30 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  27. 27.A trapezium has parallel sides of 6 cm and 14 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  28. 28.What is the value of 4⁻⁴ (as a fraction)? =
  29. 29.If a − b = 1 and ab = 2, what is a² + b²?
  30. 30.The diagonals of a rhombus are 18 cm and 28 cm. What is its area (in square cm)?
  31. 31.Write 3.2 × 10⁻³ as a decimal. =
  32. 32.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is 9³? =
  34. 34.What is the value of (3/8)⁻¹? =
  35. 35.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  36. 36.What is the smallest whole number by which 384 must be divided to get a perfect square?
  37. 37.Solve: 3(p − 1) = p + 13. What is p?
  38. 38.What is the difference between the compound interest and the simple interest on ₹15000 at 8% per year for 2 years (in ₹)?
  39. 39.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  40. 40.How many whole numbers lie between 32² and 33²?

Answer key

  1. 32
  2. 1/4
  3. 2
  4. 5
  5. 37
  6. 68
  7. 1/16
  8. 6400
  9. 17
  10. 96
  11. 13
  12. 288
  13. 368
  14. 90
  15. 36
  16. 676
  17. 36
  18. 61
  19. 16
  20. 0.00024
  21. 6859
  22. 64
  23. 72
  24. 16
  25. 1024
  26. 234
  27. 130
  28. 1/256
  29. 5
  30. 252
  31. 0.0032
  32. 125
  33. 729
  34. 8/3
  35. 169
  36. 6
  37. 8
  38. 96
  39. 2
  40. 64

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