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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 259 · 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 value of 5² × 5⁻¹? =
  2. 2.The diagonals of a rhombus are 4 cm and 24 cm. What is its area (in square cm)?
  3. 3.What is 56²? =
  4. 4.A cuboid is 15 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  5. 5.Use (a + b)² = a² + 2ab + b² to find 106².
  6. 6.A square garden has an area of 1849 square m. How long is each side (in m)?
  7. 7.How many whole numbers lie between 10² and 11²?
  8. 8.The sum of two consecutive whole numbers is 65. What is the smallest of them?
  9. 9.A father is 10 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  10. 10.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  11. 11.Find the compound interest on ₹22500 at 8% per year for 2 years, compounded every year (in ₹).
  12. 12.A father is 12 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  13. 13.What is 12²? =
  14. 14.A trapezium has parallel sides of 4 cm and 11 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 38².
  16. 16.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.Find the compound interest on ₹10000 at 4% per year for 2 years, compounded every year (in ₹).
  18. 18.A square garden has an area of 2401 square m. How long is each side (in m)?
  19. 19.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  20. 20.The sum of three consecutive whole numbers is 165. What is the largest of them?
  21. 21.Use a² − b² = (a + b)(a − b) to find 37² − 16².
  22. 22.Use a² − b² = (a + b)(a − b) to find 63² − 26².
  23. 23.What is the value of 3⁵? =
  24. 24.What is 5³? =
  25. 25.Solve: 6(p − 2) = p + 58. What is p?
  26. 26.Solve: 5(t − 3) = t + 5. What is t?
  27. 27.What amount will ₹41800 grow to in 2 years at 20% per year compound interest (in ₹)?
  28. 28.Which of these is a perfect cube? (a) 137 (b) 125 (c) 181
  29. 29.Write 46,00,000 in standard form as 4.6 × 10ⁿ. What is n?
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 50 must be divided to get a perfect square?
  32. 32.A trapezium has parallel sides of 28 cm and 22 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  33. 33.What is the difference between the compound interest and the simple interest on ₹30000 at 8% per year for 2 years (in ₹)?
  34. 34.Write (4²)⁸ as a single power 4ⁿ. What is n?
  35. 35.What is the difference between the compound interest and the simple interest on ₹49300 at 10% per year for 2 years (in ₹)?
  36. 36.Which of these is a perfect cube? (a) 104 (b) 87 (c) 64
  37. 37.What amount will ₹17400 grow to in 1 year at 4% per year compound interest (in ₹)?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 103².
  39. 39.Solve: 4(m − 1) = 2m + 22. What is m?
  40. 40.Write 8.7 × 10⁻³ as a decimal. =

Answer key

  1. 5
  2. 48
  3. 3136
  4. 272
  5. 11236
  6. 43
  7. 20
  8. 32
  9. 2
  10. 5
  11. 3744
  12. 7
  13. 144
  14. 15
  15. 1444
  16. 96
  17. 816
  18. 49
  19. 25
  20. 56
  21. 1113
  22. 3293
  23. 243
  24. 125
  25. 14
  26. 5
  27. 60192
  28. 125
  29. 6
  30. 64
  31. 2
  32. 100
  33. 192
  34. 16
  35. 493
  36. 64
  37. 18096
  38. 10609
  39. 13
  40. 0.0087

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