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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 199 · 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 18 cm and 24 cm. What is its area (in square cm)?
  2. 2.If a + b = 14 and ab = 24, what is a² + b²?
  3. 3.A trapezium has parallel sides of 14 cm and 7 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  5. 5.Solve: 9n + 8 = 3n + 38. What is n?
  6. 6.Write 3¹⁰ ÷ 3⁷ as a single power 3ⁿ. What is n?
  7. 7.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.What is 5³? =
  10. 10.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  11. 11.If a − b = 2 and ab = 120, what is a² + b²?
  12. 12.Solve: 6t + 4 = 2t + 32. What is t?
  13. 13.How many whole numbers lie between 38² and 39²?
  14. 14.A square garden has an area of 484 square m. How long is each side (in m)?
  15. 15.How many whole numbers lie between 6² and 7²?
  16. 16.What is the difference between the compound interest and the simple interest on ₹35600 at 25% per year for 2 years (in ₹)?
  17. 17.A trapezium has parallel sides of 9 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  18. 18.A room is 5 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.Find the compound interest on ₹3700 at 4% per year for 1 year, compounded every year (in ₹).
  20. 20.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  21. 21.What amount will ₹6600 grow to in 1 year at 5% per year compound interest (in ₹)?
  22. 22.Solve: 7p + 4 = 4p + 13. What is p?
  23. 23.Write 3⁶ × 3⁴ as a single power 3ⁿ. What is n?
  24. 24.Use (a − b)² = a² − 2ab + b² to find 15².
  25. 25.7 × 10³ =
  26. 26.Write 67,00,000 in standard form as 6.7 × 10ⁿ. What is n?
  27. 27.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.Find the compound interest on ₹19000 at 10% per year for 2 years, compounded every year (in ₹).
  29. 29.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  30. 30.A trapezium has parallel sides of 5 cm and 4 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  31. 31.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  32. 32.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  33. 33.9.5 × 10⁵ =
  34. 34.A town has 47000 people. The population grows by 20% every year. What will the population be after 3 years?
  35. 35.If a − b = 1 and ab = 6, what is a² + b²?
  36. 36.What is √2601? =
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is √7396? =
  39. 39.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  40. 40.What is 40²? =

Answer key

  1. 216
  2. 148
  3. 168
  4. 1350
  5. 5
  6. 3
  7. 8
  8. 100
  9. 125
  10. 1944
  11. 244
  12. 7
  13. 76
  14. 22
  15. 12
  16. 2225
  17. 136
  18. 104
  19. 148
  20. 17
  21. 6930
  22. 3
  23. 10
  24. 225
  25. 7000
  26. 6
  27. 120
  28. 3990
  29. 6
  30. 45
  31. 100
  32. 13
  33. 950000
  34. 81216
  35. 13
  36. 51
  37. 64
  38. 86
  39. 225
  40. 1600

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