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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 969 · 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. 1.3.7 × 10² =
  2. 2.The length of a rectangle is 8 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  3. 3.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  4. 4.A father is 16 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  5. 5.The sum of four consecutive whole numbers is 202. What is the smallest of them?
  6. 6.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  7. 7.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 1728 (b) 1897 (c) 2062
  9. 9.What is 13²? =
  10. 10.What is the value of 10⁶ × 10⁻⁵? =
  11. 11.A trapezium has parallel sides of 23 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  12. 12.Solve: t/2 + t/3 = 5. What is t?
  13. 13.What is 5³? =
  14. 14.What is √400? =
  15. 15.Use (a + b)² = a² + 2ab + b² to find 56².
  16. 16.Write 8.5 × 10⁻¹ as a decimal. =
  17. 17.Which of these is a perfect square? (a) 841 (b) 883 (c) 884
  18. 18.Solve: x/3 + x/6 = 12. What is x?
  19. 19.Solve: 6(x − 5) = x + 40. What is x?
  20. 20.How many whole numbers lie between 34² and 35²?
  21. 21.Use (a − b)² = a² − 2ab + b² to find 51².
  22. 22.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  23. 23.What is ∛1331? =
  24. 24.A trapezium has an area of 63 square cm. Its parallel sides are 16 cm and 5 cm. What is the distance between them (in cm)?
  25. 25.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
  26. 26.Find the value of x² − y² when x = 14 and y = 8.
  27. 27.What is 18³? =
  28. 28.The diagonals of a rhombus are 10 cm and 15 cm. What is its area (in square cm)?
  29. 29.What is the value of 2⁴? =
  30. 30.What is √3844? =
  31. 31.Use (a + b)(a − b) = a² − b² to find 32 × 28.
  32. 32.What amount will ₹9400 grow to in 2 years at 20% per year compound interest (in ₹)?
  33. 33.What is the difference between the compound interest and the simple interest on ₹22500 at 12% per year for 2 years (in ₹)?
  34. 34.What is the value of (7/9)⁻²? =
  35. 35.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  36. 36.What is ∛2197? =
  37. 37.A cuboid is 3 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  38. 38.Find the compound interest on ₹6100 at 12% per year for 1 year, compounded every year (in ₹).
  39. 39.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
  40. 40.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?

Answer key

  1. 370
  2. 22
  3. 18
  4. 5
  5. 49
  6. 8
  7. 12
  8. 1728
  9. 169
  10. 10
  11. 212
  12. 6
  13. 125
  14. 20
  15. 3136
  16. 0.85
  17. 841
  18. 24
  19. 14
  20. 68
  21. 2601
  22. 54
  23. 11
  24. 6
  25. 3
  26. 132
  27. 5832
  28. 75
  29. 16
  30. 62
  31. 896
  32. 13536
  33. 324
  34. 81/49
  35. 7
  36. 13
  37. 282
  38. 732
  39. 3
  40. 24

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