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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 323 · 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.Solve: y/2 + y/3 = 15. What is y?
  2. 2.What is √4761? =
  3. 3.Which of these is a perfect square? (a) 1119 (b) 1096 (c) 1089
  4. 4.Solve: 6t + 9 = 3t + 15. What is t?
  5. 5.What is the value of (8/9)⁻¹? =
  6. 6.What is the value of 4⁻¹ (as a fraction)? =
  7. 7.Solve: 5(y − 4) = y + 32. What is y?
  8. 8.Use (a + b)(a − b) = a² − b² to find 96 × 84.
  9. 9.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  10. 10.What is the difference between the compound interest and the simple interest on ₹52500 at 4% per year for 2 years (in ₹)?
  11. 11.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  12. 12.A trapezium has parallel sides of 24 cm and 27 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 40 must be multiplied to get a perfect square?
  15. 15.Solve: 4t + 14 = 3t + 29. What is t?
  16. 16.Which of these is a perfect cube? (a) 351 (b) 355 (c) 343
  17. 17.What is √324? =
  18. 18.8.9 × 10⁶ =
  19. 19.A cuboid is 3 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  20. 20.A trapezium has parallel sides of 18 cm and 28 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  21. 21.Which of these is a perfect cube? (a) 36 (b) 27 (c) 51
  22. 22.Use (a + b)² = a² + 2ab + b² to find 52².
  23. 23.Solve: 5(t − 4) = 3t + 4. What is t?
  24. 24.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  25. 25.A trapezium has an area of 340 square cm. Its parallel sides are 14 cm and 26 cm. What is the distance between them (in cm)?
  26. 26.What is the value of 3⁶ × 3⁻⁴? =
  27. 27.What is ∛2744? =
  28. 28.What amount will ₹47500 grow to in 2 years at 4% per year compound interest (in ₹)?
  29. 29.The sum of two consecutive whole numbers is 79. What is the largest of them?
  30. 30.What is the smallest whole number by which 735 must be divided to get a perfect square?
  31. 31.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.Use (a + b)² = a² + 2ab + b² to find 104².
  33. 33.Which of these is a perfect square? (a) 1588 (b) 1590 (c) 1521
  34. 34.Solve: 8p + 19 = 2p + 103. What is p?
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.The diagonals of a rhombus are 18 cm and 16 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 20 must be multiplied to get a perfect square?
  39. 39.What is 15³? =
  40. 40.What is 20³? =

Answer key

  1. 18
  2. 69
  3. 1089
  4. 2
  5. 9/8
  6. 1/4
  7. 13
  8. 8064
  9. 7
  10. 84
  11. 5
  12. 459
  13. 27
  14. 10
  15. 15
  16. 343
  17. 18
  18. 8900000
  19. 66
  20. 460
  21. 27
  22. 2704
  23. 12
  24. 625
  25. 17
  26. 9
  27. 14
  28. 51376
  29. 40
  30. 15
  31. 96
  32. 10816
  33. 1521
  34. 14
  35. 8
  36. 144
  37. 2
  38. 5
  39. 3375
  40. 8000

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