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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 339 · 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.A trapezium has parallel sides of 18 cm and 19 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  2. 2.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  3. 3.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  4. 4.Write 5.4 × 10⁻⁴ as a decimal. =
  5. 5.A scooter is worth ₹8000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  6. 6.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  7. 7.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  8. 8.Use (a + b)(a − b) = a² − b² to find 22 × 18.
  9. 9.What amount will ₹32000 grow to in 3 years at 15% per year compound interest (in ₹)?
  10. 10.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  11. 11.Solve: t/6 + t/3 = 9. What is t?
  12. 12.Solve: 3(t − 5) = t + 9. What is t?
  13. 13.A town has 2500 people. The population grows by 4% every year. What will the population be after 2 years?
  14. 14.What is the difference between the compound interest and the simple interest on ₹34800 at 25% per year for 2 years (in ₹)?
  15. 15.The length of a rectangle is 2 cm more than its width. Its perimeter is 12 cm. What is its width (in cm)?
  16. 16.What amount will ₹9800 grow to in 1 year at 4% per year compound interest (in ₹)?
  17. 17.Which of these is a perfect cube? (a) 104 (b) 103 (c) 64
  18. 18.What is the value of 2¹⁴? =
  19. 19.The diagonals of a rhombus are 6 cm and 3 cm. What is its area (in square cm)?
  20. 20.A cuboid is 11 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  21. 21.Solve: p/4 + p/5 = 27. What is p?
  22. 22.What amount will ₹20000 grow to in 2 years at 12% per year compound interest (in ₹)?
  23. 23.What is √2601? =
  24. 24.A trapezium has parallel sides of 26 cm and 12 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  25. 25.Use (a + b)² = a² + 2ab + b² to find 91².
  26. 26.The sum of four consecutive whole numbers is 122. What is the largest of them?
  27. 27.A cuboid is 15 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  28. 28.A trapezium has parallel sides of 7 cm and 6 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  29. 29.What is the value of 9⁻³ (as a fraction)? =
  30. 30.What is 59²? =
  31. 31.The sum of three consecutive whole numbers is 63. What is the smallest of them?
  32. 32.A scooter is worth ₹24000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  33. 33.How many whole numbers lie between 15² and 16²?
  34. 34.The sum of two consecutive whole numbers is 117. What is the largest of them?
  35. 35.A square garden has an area of 529 square m. How long is each side (in m)?
  36. 36.Find the value of x² − y² when x = 9 and y = 8.
  37. 37.Solve: 3t + 11 = 2t + 14. What is t?
  38. 38.What is the difference between the compound interest and the simple interest on ₹40000 at 8% per year for 2 years (in ₹)?
  39. 39.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  40. 40.Which of these is a perfect square? (a) 556 (b) 538 (c) 529

Answer key

  1. 333
  2. 4
  3. 8
  4. 0.00054
  5. 6859
  6. 9
  7. 729
  8. 396
  9. 48668
  10. 1944
  11. 18
  12. 12
  13. 2704
  14. 2175
  15. 2
  16. 10192
  17. 64
  18. 16384
  19. 9
  20. 506
  21. 60
  22. 25088
  23. 51
  24. 380
  25. 8281
  26. 32
  27. 424
  28. 117
  29. 1/729
  30. 3481
  31. 20
  32. 17496
  33. 30
  34. 59
  35. 23
  36. 17
  37. 3
  38. 256
  39. 3
  40. 529

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