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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 758 · 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) 417 (b) 426 (c) 400
  2. 2.The diagonals of a rhombus are 8 cm and 24 cm. What is its area (in square cm)?
  3. 3.Write (7⁸)⁸ as a single power 7ⁿ. What is n?
  4. 4.Use (a + b)² = a² + 2ab + b² to find 26².
  5. 5.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  6. 6.Solve: t/2 + t/4 = 9. What is t?
  7. 7.A scooter is worth ₹6600. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  8. 8.6.5 × 10⁴ =
  9. 9.A trapezium has an area of 111 square cm. Its parallel sides are 19 cm and 18 cm. What is the distance between them (in cm)?
  10. 10.Solve: 3(t − 5) = 2t + 7. What is t?
  11. 11.What is the smallest whole number by which 245 must be divided to get a perfect square?
  12. 12.What amount will ₹22900 grow to in 1 year at 5% per year compound interest (in ₹)?
  13. 13.What is the difference between the compound interest and the simple interest on ₹45000 at 12% per year for 2 years (in ₹)?
  14. 14.A square garden has an area of 2916 square m. How long is each side (in m)?
  15. 15.What is the value of 5³ × 5⁻¹? =
  16. 16.What is 4³? =
  17. 17.What is the value of 7⁻³ (as a fraction)? =
  18. 18.What is 15³? =
  19. 19.Solve: 8y + 13 = 7y + 15. What is y?
  20. 20.2.8 × 10⁶ =
  21. 21.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
  22. 22.Find the value of x² − 2xy + y² when x = 6 and y = 1.
  23. 23.A scooter is worth ₹35600. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  24. 24.What is 33²? =
  25. 25.A square garden has an area of 2500 square m. How long is each side (in m)?
  26. 26.A room is 8 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.The diagonals of a rhombus are 30 cm and 25 cm. What is its area (in square cm)?
  28. 28.A cuboid is 3 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  29. 29.What is the smallest whole number by which 448 must be multiplied to get a perfect square?
  30. 30.The sum of three consecutive whole numbers is 180. What is the largest of them?
  31. 31.The sum of three consecutive whole numbers is 48. What is the largest of them?
  32. 32.What is the value of 8⁻¹ (as a fraction)? =
  33. 33.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  34. 34.How many whole numbers lie between 28² and 29²?
  35. 35.A trapezium has an area of 301 square cm. Its parallel sides are 27 cm and 16 cm. What is the distance between them (in cm)?
  36. 36.Use (a − b)² = a² − 2ab + b² to find 89².
  37. 37.Write 2⁸ × 2⁸ as a single power 2ⁿ. What is n?
  38. 38.Write 6.7 × 10⁻⁴ as a decimal. =
  39. 39.A cuboid is 5 cm long, 8 cm wide and 7 cm high. What is its total surface area (in square cm)?
  40. 40.What is the difference between the compound interest and the simple interest on ₹6800 at 15% per year for 2 years (in ₹)?

Answer key

  1. 400
  2. 96
  3. 64
  4. 676
  5. 121
  6. 12
  7. 6336
  8. 65000
  9. 6
  10. 22
  11. 5
  12. 24045
  13. 648
  14. 54
  15. 25
  16. 64
  17. 1/343
  18. 3375
  19. 2
  20. 2800000
  21. 112
  22. 25
  23. 31328
  24. 1089
  25. 50
  26. 144
  27. 375
  28. 42
  29. 7
  30. 61
  31. 17
  32. 1/8
  33. 5
  34. 56
  35. 14
  36. 7921
  37. 16
  38. 0.00067
  39. 262
  40. 153

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