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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 493 · 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.Write 1.1 × 10⁻¹ as a decimal. =
  2. 2.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.What is √8836? =
  4. 4.A town has 28000 people. The population grows by 15% every year. What will the population be after 2 years?
  5. 5.A cuboid is 8 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  6. 6.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  7. 7.Write 4.7 × 10⁻² as a decimal. =
  8. 8.Which of these is a perfect square? (a) 441 (b) 456 (c) 476
  9. 9.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  11. 11.A scooter is worth ₹48000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.Use (a + b)(a − b) = a² − b² to find 74 × 66.
  14. 14.A cuboid is 12 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  15. 15.How many whole numbers lie between 50² and 51²?
  16. 16.Write 5.5 × 10⁻³ as a decimal. =
  17. 17.A trapezium has parallel sides of 25 cm and 18 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  18. 18.The diagonals of a rhombus are 14 cm and 21 cm. What is its area (in square cm)?
  19. 19.What amount will ₹5900 grow to in 2 years at 20% per year compound interest (in ₹)?
  20. 20.How many whole numbers lie between 37² and 38²?
  21. 21.Write 7¹² ÷ 7⁷ as a single power 7ⁿ. What is n?
  22. 22.What is the difference between the compound interest and the simple interest on ₹12500 at 12% per year for 2 years (in ₹)?
  23. 23.What is 4³? =
  24. 24.What is 20³? =
  25. 25.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  26. 26.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  27. 27.What is the difference between the compound interest and the simple interest on ₹9200 at 25% per year for 2 years (in ₹)?
  28. 28.What is the value of 7²? =
  29. 29.Use (a + b)² = a² + 2ab + b² to find 74².
  30. 30.If a + b = 3 and ab = 2, what is a² + b²?
  31. 31.A square garden has an area of 324 square m. How long is each side (in m)?
  32. 32.Solve: 3t + 4 = t + 10. What is t?
  33. 33.Use (a + b)² = a² + 2ab + b² to find 79².
  34. 34.Which of these is a perfect square? (a) 1329 (b) 1363 (c) 1296
  35. 35.Solve: 4m + 5 = 3m + 8. What is m?
  36. 36.A trapezium has an area of 186 square cm. Its parallel sides are 25 cm and 6 cm. What is the distance between them (in cm)?
  37. 37.What is the difference between the compound interest and the simple interest on ₹40400 at 15% per year for 2 years (in ₹)?
  38. 38.Solve: n/4 + n/3 = 28. What is n?
  39. 39.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  40. 40.Use (a + b)(a − b) = a² − b² to find 108 × 92.

Answer key

  1. 0.11
  2. 8
  3. 94
  4. 37030
  5. 192
  6. 9
  7. 0.047
  8. 441
  9. 10
  10. 4
  11. 29478
  12. 8
  13. 4884
  14. 402
  15. 100
  16. 0.0055
  17. 215
  18. 147
  19. 8496
  20. 74
  21. 5
  22. 180
  23. 64
  24. 8000
  25. 49
  26. 576
  27. 575
  28. 49
  29. 5476
  30. 5
  31. 18
  32. 3
  33. 6241
  34. 1296
  35. 3
  36. 12
  37. 909
  38. 48
  39. 21
  40. 9936

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