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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 301 · 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.The diagonals of a rhombus are 10 cm and 19 cm. What is its area (in square cm)?
  2. 2.What is 71²? =
  3. 3.What is the value of 7²? =
  4. 4.Use (a − b)² = a² − 2ab + b² to find 18².
  5. 5.Which of these is a perfect square? (a) 841 (b) 882 (c) 868
  6. 6.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  7. 7.What is 15²? =
  8. 8.How many whole numbers lie between 13² and 14²?
  9. 9.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  10. 10.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  11. 11.Write 7⁶ × 7⁴ as a single power 7ⁿ. What is n?
  12. 12.Use (a + b)² = a² + 2ab + b² to find 103².
  13. 13.The diagonals of a rhombus are 18 cm and 9 cm. What is its area (in square cm)?
  14. 14.What is 17²? =
  15. 15.A square garden has an area of 961 square m. How long is each side (in m)?
  16. 16.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  17. 17.The sum of four consecutive whole numbers is 134. What is the largest of them?
  18. 18.What is the difference between the compound interest and the simple interest on ₹48300 at 10% per year for 2 years (in ₹)?
  19. 19.What is √576? =
  20. 20.What is 33²? =
  21. 21.Write 4¹² ÷ 4⁸ as a single power 4ⁿ. What is n?
  22. 22.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
  23. 23.A trapezium has an area of 95 square cm. Its parallel sides are 12 cm and 7 cm. What is the distance between them (in cm)?
  24. 24.What is 2³? =
  25. 25.What is 16³? =
  26. 26.Write (7³)⁵ as a single power 7ⁿ. What is n?
  27. 27.The diagonals of a rhombus are 20 cm and 9 cm. What is its area (in square cm)?
  28. 28.Use a² − b² = (a + b)(a − b) to find 35² − 4².
  29. 29.Which of these is a perfect square? (a) 473 (b) 441 (c) 480
  30. 30.What amount will ₹9900 grow to in 1 year at 20% per year compound interest (in ₹)?
  31. 31.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  32. 32.What is the difference between the compound interest and the simple interest on ₹20400 at 15% per year for 2 years (in ₹)?
  33. 33.If a − b = 4 and ab = 32, what is a² + b²?
  34. 34.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  35. 35.A father is 18 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  36. 36.Use (a + b)² = a² + 2ab + b² to find 98².
  37. 37.What is √1089? =
  38. 38.Find the value of x² − y² when x = 9 and y = 6.
  39. 39.Solve: p/4 + p/5 = 54. What is p?
  40. 40.A scooter is worth ₹48000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?

Answer key

  1. 95
  2. 5041
  3. 49
  4. 324
  5. 841
  6. 20
  7. 225
  8. 26
  9. 294
  10. 54
  11. 10
  12. 10609
  13. 81
  14. 289
  15. 31
  16. 14
  17. 35
  18. 483
  19. 24
  20. 1089
  21. 4
  22. 5
  23. 10
  24. 8
  25. 4096
  26. 15
  27. 90
  28. 1209
  29. 441
  30. 11880
  31. 784
  32. 459
  33. 80
  34. 486
  35. 8
  36. 9604
  37. 33
  38. 45
  39. 120
  40. 29478

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