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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 968 · 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 sum of two consecutive whole numbers is 51. What is the smallest of them?
  2. 2.Solve: 6(t − 2) = 2t + 44. What is t?
  3. 3.Which of these is a perfect cube? (a) 64 (b) 93 (c) 110
  4. 4.Solve: n/5 + n/2 = 49. What is n?
  5. 5.Use (a + b)(a − b) = a² − b² to find 97 × 83.
  6. 6.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  7. 7.What amount will ₹3600 grow to in 2 years at 5% per year compound interest (in ₹)?
  8. 8.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  9. 9.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
  10. 10.The sum of two consecutive whole numbers is 15. What is the largest of them?
  11. 11.A room is 5 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  12. 12.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  13. 13.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.Which of these is a perfect square? (a) 784 (b) 817 (c) 816
  15. 15.A trapezium has parallel sides of 18 cm and 11 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  16. 16.The length of a rectangle is 7 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  17. 17.A trapezium has an area of 159 square cm. Its parallel sides are 23 cm and 30 cm. What is the distance between them (in cm)?
  18. 18.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  19. 19.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  20. 20.If a − b = 5 and ab = 6, what is a² + b²?
  21. 21.Use (a + b)(a − b) = a² − b² to find 61 × 59.
  22. 22.What is 7³? =
  23. 23.3.4 × 10⁶ =
  24. 24.What is 5³? =
  25. 25.Write 3,20,00,000 in standard form as 3.2 × 10ⁿ. What is n?
  26. 26.Find the compound interest on ₹8900 at 20% per year for 2 years, compounded every year (in ₹).
  27. 27.A room is 10 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  28. 28.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.A square garden has an area of 625 square m. How long is each side (in m)?
  30. 30.What is the smallest whole number by which 250 must be multiplied to get a perfect square?
  31. 31.What is ∛15625? =
  32. 32.Write (4⁷)⁴ as a single power 4ⁿ. What is n?
  33. 33.What is ∛2744? =
  34. 34.A father is 12 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  35. 35.What is √5625? =
  36. 36.What is the value of 6⁻³ (as a fraction)? =
  37. 37.The sum of three consecutive whole numbers is 165. What is the largest of them?
  38. 38.Solve: 4(n − 2) = n + 4. What is n?
  39. 39.The length of a rectangle is 3 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  40. 40.Find the value of x² + 2xy + y² when x = 15 and y = 14.

Answer key

  1. 25
  2. 14
  3. 64
  4. 70
  5. 8051
  6. 100
  7. 3969
  8. 16
  9. 196
  10. 8
  11. 150
  12. 1734
  13. 64
  14. 784
  15. 58
  16. 23
  17. 6
  18. 10
  19. 5
  20. 37
  21. 3599
  22. 343
  23. 3400000
  24. 125
  25. 7
  26. 3916
  27. 114
  28. 90
  29. 25
  30. 10
  31. 25
  32. 28
  33. 14
  34. 4
  35. 75
  36. 1/216
  37. 56
  38. 4
  39. 20
  40. 841

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