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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 464 · 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 father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  2. 2.The sum of four consecutive whole numbers is 106. What is the smallest of them?
  3. 3.Use (a − b)² = a² − 2ab + b² to find 53².
  4. 4.Write 4.9 × 10⁻³ as a decimal. =
  5. 5.Solve: 9y + 19 = 7y + 35. What is y?
  6. 6.What is the value of 3¹ × 3⁻⁵? =
  7. 7.The length of a rectangle is 7 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  8. 8.What amount will ₹32900 grow to in 1 year at 4% per year compound interest (in ₹)?
  9. 9.Solve: m/3 + m/5 = 8. What is m?
  10. 10.Write 6.1 × 10⁻¹ as a decimal. =
  11. 11.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.A trapezium has an area of 420 square cm. Its parallel sides are 26 cm and 30 cm. What is the distance between them (in cm)?
  13. 13.What amount will ₹11700 grow to in 1 year at 25% per year compound interest (in ₹)?
  14. 14.Which of these is a perfect cube? (a) 3375 (b) 3419 (c) 3477
  15. 15.Use (a + b)² = a² + 2ab + b² to find 77².
  16. 16.A trapezium has an area of 344 square cm. Its parallel sides are 24 cm and 19 cm. What is the distance between them (in cm)?
  17. 17.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  18. 18.A town has 24000 people. The population grows by 15% every year. What will the population be after 3 years?
  19. 19.Find the value of x² − 2xy + y² when x = 4 and y = 1.
  20. 20.What is the value of 2³ × 2⁻⁵? =
  21. 21.The sum of two consecutive whole numbers is 73. What is the smallest of them?
  22. 22.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  23. 23.What is the difference between the compound interest and the simple interest on ₹25100 at 10% per year for 2 years (in ₹)?
  24. 24.What is the value of 2¹ × 2⁻¹? =
  25. 25.The diagonals of a rhombus are 24 cm and 28 cm. What is its area (in square cm)?
  26. 26.What is the value of 10³ × 10⁻¹? =
  27. 27.A trapezium has an area of 18 square cm. Its parallel sides are 7 cm and 2 cm. What is the distance between them (in cm)?
  28. 28.Write 240 in standard form as 2.4 × 10ⁿ. What is n?
  29. 29.What is the smallest whole number by which 704 must be multiplied to get a perfect square?
  30. 30.Solve: x/4 + x/6 = 35. What is x?
  31. 31.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  32. 32.What is the value of 6⁻² (as a fraction)? =
  33. 33.What is 71²? =
  34. 34.What is √1156? =
  35. 35.What amount will ₹5900 grow to in 1 year at 20% per year compound interest (in ₹)?
  36. 36.Find the compound interest on ₹50400 at 10% per year for 1 year, compounded every year (in ₹).
  37. 37.Use (a + b)² = a² + 2ab + b² to find 75².
  38. 38.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  39. 39.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  40. 40.Use a² − b² = (a + b)(a − b) to find 80² − 19².

Answer key

  1. 10
  2. 25
  3. 2809
  4. 0.0049
  5. 8
  6. 1/81
  7. 4
  8. 34216
  9. 15
  10. 0.61
  11. 125
  12. 15
  13. 14625
  14. 3375
  15. 5929
  16. 16
  17. 10
  18. 36501
  19. 9
  20. 1/4
  21. 36
  22. 4
  23. 251
  24. 1
  25. 336
  26. 100
  27. 4
  28. 2
  29. 11
  30. 84
  31. 5
  32. 1/36
  33. 5041
  34. 34
  35. 7080
  36. 5040
  37. 5625
  38. 256
  39. 1944
  40. 6039

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