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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 145 · 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.Which of these is a perfect cube? (a) 3976 (b) 3375 (c) 3863
  2. 2.A father is 10 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  3. 3.What is the difference between the compound interest and the simple interest on ₹32700 at 20% per year for 2 years (in ₹)?
  4. 4.What is the value of 5⁻⁴ (as a fraction)? =
  5. 5.Solve: 5m + 5 = 2m + 50. What is m?
  6. 6.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.How many whole numbers lie between 29² and 30²?
  8. 8.What is 6³? =
  9. 9.A room is 7 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.What is the value of 3⁴? =
  11. 11.Use (a − b)² = a² − 2ab + b² to find 67².
  12. 12.What is 5³? =
  13. 13.Which of these is a perfect square? (a) 585 (b) 576 (c) 597
  14. 14.What is the difference between the compound interest and the simple interest on ₹14600 at 20% per year for 2 years (in ₹)?
  15. 15.Solve: 5(m − 2) = 3m + 12. What is m?
  16. 16.What is √400? =
  17. 17.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  18. 18.What is the difference between the compound interest and the simple interest on ₹14000 at 15% per year for 2 years (in ₹)?
  19. 19.A father is 27 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  20. 20.Use (a + b)(a − b) = a² − b² to find 47 × 33.
  21. 21.What is the difference between the compound interest and the simple interest on ₹12000 at 25% per year for 2 years (in ₹)?
  22. 22.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  23. 23.A trapezium has an area of 64 square cm. Its parallel sides are 13 cm and 3 cm. What is the distance between them (in cm)?
  24. 24.What is √121? =
  25. 25.A scooter is worth ₹8000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  26. 26.Solve: 5(y − 3) = 3y + 5. What is y?
  27. 27.Use (a − b)² = a² − 2ab + b² to find 32².
  28. 28.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  29. 29.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  30. 30.What is the value of (8/9)⁻¹? =
  31. 31.Solve: 4(p − 1) = 3p + 9. What is p?
  32. 32.The diagonals of a rhombus are 20 cm and 23 cm. What is its area (in square cm)?
  33. 33.What is the value of 2⁻³ (as a fraction)? =
  34. 34.Use (a − b)² = a² − 2ab + b² to find 73².
  35. 35.What is the value of 10⁴ × 10⁻¹? =
  36. 36.What is the smallest whole number by which 112 must be divided to get a perfect square?
  37. 37.The sum of three consecutive whole numbers is 72. What is the largest of them?
  38. 38.Solve: 3(y − 3) = y + 19. What is y?
  39. 39.What is the value of 5⁶ × 5⁻³? =
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 3375
  2. 6
  3. 1308
  4. 1/625
  5. 15
  6. 27
  7. 58
  8. 216
  9. 130
  10. 81
  11. 4489
  12. 125
  13. 576
  14. 584
  15. 11
  16. 20
  17. 10
  18. 315
  19. 4
  20. 1551
  21. 750
  22. 5
  23. 8
  24. 11
  25. 4913
  26. 10
  27. 1024
  28. 1176
  29. 225
  30. 9/8
  31. 13
  32. 230
  33. 1/8
  34. 5329
  35. 1000
  36. 7
  37. 25
  38. 14
  39. 125
  40. 64

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