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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 472 · 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.If a + b = 18 and ab = 72, what is a² + b²?
  2. 2.What amount will ₹11000 grow to in 3 years at 10% per year compound interest (in ₹)?
  3. 3.Which of these is a perfect square? (a) 288 (b) 274 (c) 256
  4. 4.What is the difference between the compound interest and the simple interest on ₹18300 at 20% per year for 2 years (in ₹)?
  5. 5.The diagonals of a rhombus are 20 cm and 28 cm. What is its area (in square cm)?
  6. 6.A scooter is worth ₹35000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
  7. 7.What is the smallest whole number by which 112 must be multiplied to get a perfect square?
  8. 8.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 1000 (b) 1021 (c) 1109
  10. 10.Find the value of x² − 2xy + y² when x = 10 and y = 4.
  11. 11.Solve: 3(n − 1) = n + 25. What is n?
  12. 12.A square garden has an area of 3025 square m. How long is each side (in m)?
  13. 13.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.How many whole numbers lie between 22² and 23²?
  15. 15.Use (a + b)² = a² + 2ab + b² to find 57².
  16. 16.Write 7 × 10⁻⁴ as a decimal. =
  17. 17.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  18. 18.Solve: 4y + 20 = 2y + 48. What is y?
  19. 19.What is 17²? =
  20. 20.What is the value of 2²? =
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.How many whole numbers lie between 12² and 13²?
  23. 23.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  24. 24.Use (a + b)² = a² + 2ab + b² to find 43².
  25. 25.Which of these is a perfect square? (a) 1156 (b) 1183 (c) 1206
  26. 26.What is the value of 3⁻⁵ (as a fraction)? =
  27. 27.What is √2304? =
  28. 28.A town has 11500 people. The population grows by 8% every year. What will the population be after 1 year?
  29. 29.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.What is 12²? =
  31. 31.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  32. 32.The length of a rectangle is 13 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  33. 33.A cuboid is 9 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  34. 34.What is √3136? =
  35. 35.Use a² − b² = (a + b)(a − b) to find 81² − 30².
  36. 36.What is √169? =
  37. 37.What is the difference between the compound interest and the simple interest on ₹50000 at 4% per year for 2 years (in ₹)?
  38. 38.A trapezium has an area of 115 square cm. Its parallel sides are 18 cm and 5 cm. What is the distance between them (in cm)?
  39. 39.A scooter is worth ₹9900. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
  40. 40.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 180
  2. 14641
  3. 256
  4. 732
  5. 280
  6. 27104
  7. 7
  8. 15
  9. 1000
  10. 36
  11. 14
  12. 55
  13. 27
  14. 44
  15. 3249
  16. 0.0007
  17. 7
  18. 14
  19. 289
  20. 4
  21. 8
  22. 24
  23. 8
  24. 1849
  25. 1156
  26. 1/243
  27. 48
  28. 12420
  29. 27
  30. 144
  31. 7
  32. 5
  33. 332
  34. 56
  35. 5661
  36. 13
  37. 80
  38. 10
  39. 6336
  40. 361

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