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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 420 · 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.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
  2. 2.Use a² − b² = (a + b)(a − b) to find 35² − 8².
  3. 3.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  4. 4.Which of these is a perfect square? (a) 199 (b) 213 (c) 196
  5. 5.The length of a rectangle is 12 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
  6. 6.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  7. 7.If a + b = 17 and ab = 72, what is a² + b²?
  8. 8.How many whole numbers lie between 14² and 15²?
  9. 9.If a + b = 12 and ab = 11, what is a² + b²?
  10. 10.What is √5041? =
  11. 11.Use (a + b)(a − b) = a² − b² to find 69 × 51.
  12. 12.A trapezium has an area of 34 square cm. Its parallel sides are 9 cm and 25 cm. What is the distance between them (in cm)?
  13. 13.Which of these is a perfect cube? (a) 91 (b) 64 (c) 67
  14. 14.What is the value of 3⁶? =
  15. 15.What is the value of 2¹⁵? =
  16. 16.Find the value of x² − 2xy + y² when x = 12 and y = 4.
  17. 17.A trapezium has an area of 144 square cm. Its parallel sides are 9 cm and 23 cm. What is the distance between them (in cm)?
  18. 18.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is the difference between the compound interest and the simple interest on ₹55000 at 4% per year for 2 years (in ₹)?
  21. 21.3.7 × 10⁴ =
  22. 22.What is the value of 2⁻⁸ (as a fraction)? =
  23. 23.Use a² − b² = (a + b)(a − b) to find 90² − 41².
  24. 24.Find the value of x² + 2xy + y² when x = 6 and y = 4.
  25. 25.Which of these is a perfect cube? (a) 729 (b) 761 (c) 834
  26. 26.A trapezium has parallel sides of 24 cm and 29 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  27. 27.Solve: 5x + 15 = x + 27. What is x?
  28. 28.Write 8.4 × 10⁻¹ as a decimal. =
  29. 29.What is the value of (1/4)⁻²? =
  30. 30.What is the value of (1/6)⁻²? =
  31. 31.What is the difference between the compound interest and the simple interest on ₹6400 at 10% per year for 2 years (in ₹)?
  32. 32.Solve: p/5 + p/2 = 7. What is p?
  33. 33.What is ∛216? =
  34. 34.The sum of four consecutive whole numbers is 158. What is the largest of them?
  35. 35.What is the value of 10³ × 10⁻⁴? =
  36. 36.A scooter is worth ₹30000. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  37. 37.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  38. 38.Find the value of x² − y² when x = 9 and y = 1.
  39. 39.A trapezium has parallel sides of 8 cm and 6 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  40. 40.What amount will ₹40000 grow to in 3 years at 10% per year compound interest (in ₹)?

Answer key

  1. 112
  2. 1161
  3. 25
  4. 196
  5. 26
  6. 54
  7. 145
  8. 28
  9. 122
  10. 71
  11. 3519
  12. 2
  13. 64
  14. 729
  15. 32768
  16. 64
  17. 9
  18. 120
  19. 64
  20. 88
  21. 37000
  22. 1/256
  23. 6419
  24. 100
  25. 729
  26. 424
  27. 3
  28. 0.84
  29. 16
  30. 36
  31. 64
  32. 10
  33. 6
  34. 41
  35. 1/10
  36. 27075
  37. 8
  38. 80
  39. 14
  40. 53240

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