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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 684 · 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.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  2. 2.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  3. 3.Use (a + b)(a − b) = a² − b² to find 53 × 47.
  4. 4.The length of a rectangle is 8 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  5. 5.Write 5.7 × 10⁻¹ as a decimal. =
  6. 6.Find the compound interest on ₹42500 at 8% per year for 2 years, compounded every year (in ₹).
  7. 7.Write 8.9 × 10⁻⁴ as a decimal. =
  8. 8.What is the difference between the compound interest and the simple interest on ₹6800 at 25% per year for 2 years (in ₹)?
  9. 9.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.6.4 × 10² =
  11. 11.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  12. 12.What amount will ₹53500 grow to in 3 years at 20% per year compound interest (in ₹)?
  13. 13.A trapezium has an area of 220 square cm. Its parallel sides are 16 cm and 24 cm. What is the distance between them (in cm)?
  14. 14.What is √729? =
  15. 15.Use (a + b)² = a² + 2ab + b² to find 42².
  16. 16.What is the difference between the compound interest and the simple interest on ₹38800 at 25% per year for 2 years (in ₹)?
  17. 17.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
  18. 18.What is 16³? =
  19. 19.What amount will ₹53100 grow to in 1 year at 8% per year compound interest (in ₹)?
  20. 20.What is 12³? =
  21. 21.Solve: t/6 + t/3 = 9. What is t?
  22. 22.Find the value of x² − 2xy + y² when x = 5 and y = 2.
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  25. 25.The length of a rectangle is 13 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  26. 26.A trapezium has an area of 270 square cm. Its parallel sides are 9 cm and 18 cm. What is the distance between them (in cm)?
  27. 27.A cuboid is 4 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  28. 28.What is ∛6859? =
  29. 29.Use (a + b)² = a² + 2ab + b² to find 84².
  30. 30.What is the value of 5¹ × 5⁻⁶? =
  31. 31.Use (a − b)² = a² − 2ab + b² to find 38².
  32. 32.What is √4900? =
  33. 33.What is the smallest whole number by which 891 must be divided to get a perfect square?
  34. 34.Which of these is a perfect square? (a) 462 (b) 441 (c) 465
  35. 35.A cuboid is 13 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  36. 36.What is √576? =
  37. 37.The sum of four consecutive whole numbers is 142. What is the largest of them?
  38. 38.What is the value of 9²? =
  39. 39.What is 18³? =
  40. 40.What is √2601? =

Answer key

  1. 4
  2. 23
  3. 2491
  4. 5
  5. 0.57
  6. 7072
  7. 0.00089
  8. 425
  9. 27
  10. 640
  11. 9
  12. 92448
  13. 11
  14. 27
  15. 1764
  16. 2425
  17. 4167
  18. 4096
  19. 57348
  20. 1728
  21. 18
  22. 9
  23. 216
  24. 6
  25. 18
  26. 20
  27. 176
  28. 19
  29. 7056
  30. 1/3125
  31. 1444
  32. 70
  33. 11
  34. 441
  35. 334
  36. 24
  37. 37
  38. 81
  39. 5832
  40. 51

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