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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 937 · 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.Use (a + b)(a − b) = a² − b² to find 92 × 88.
  2. 2.Solve: y/3 + y/4 = 56. What is y?
  3. 3.What is the value of 8⁴? =
  4. 4.Which of these is a perfect square? (a) 759 (b) 769 (c) 729
  5. 5.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  6. 6.What is the value of 5⁴ × 5⁻¹? =
  7. 7.Write 2⁵ ÷ 2² as a single power 2ⁿ. What is n?
  8. 8.What is the value of 3² × 3⁻⁵? =
  9. 9.What amount will ₹28300 grow to in 1 year at 5% per year compound interest (in ₹)?
  10. 10.If a + b = 3 and ab = 2, what is a² + b²?
  11. 11.What is 6³? =
  12. 12.What is the value of (2/3)⁻²? =
  13. 13.Use (a − b)² = a² − 2ab + b² to find 31².
  14. 14.Solve: n/5 + n/2 = 14. What is n?
  15. 15.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  16. 16.What amount will ₹34000 grow to in 3 years at 10% per year compound interest (in ₹)?
  17. 17.A trapezium has an area of 168 square cm. Its parallel sides are 14 cm and 7 cm. What is the distance between them (in cm)?
  18. 18.What is the value of 2¹ × 2⁻⁶? =
  19. 19.Write 5⁶ × 5⁶ as a single power 5ⁿ. What is n?
  20. 20.Use (a − b)² = a² − 2ab + b² to find 12².
  21. 21.A room is 12 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  22. 22.Solve: 4p + 9 = 3p + 17. What is p?
  23. 23.What is the value of 10⁶ × 10⁻⁵? =
  24. 24.Write 4.3 × 10⁻² as a decimal. =
  25. 25.What amount will ₹47500 grow to in 2 years at 8% per year compound interest (in ₹)?
  26. 26.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  27. 27.Use a² − b² = (a + b)(a − b) to find 65² − 3².
  28. 28.Solve: 8n + 14 = 5n + 29. What is n?
  29. 29.Write 6.6 × 10⁻³ as a decimal. =
  30. 30.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
  31. 31.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  32. 32.How many whole numbers lie between 44² and 45²?
  33. 33.Use (a + b)(a − b) = a² − b² to find 83 × 77.
  34. 34.What is ∛9261? =
  35. 35.Use (a + b)² = a² + 2ab + b² to find 53².
  36. 36.Write 3,40,00,000 in standard form as 3.4 × 10ⁿ. What is n?
  37. 37.What is the value of 2⁻⁵ (as a fraction)? =
  38. 38.What is the difference between the compound interest and the simple interest on ₹22500 at 8% per year for 2 years (in ₹)?
  39. 39.What is the value of (2/3)⁻¹? =
  40. 40.Which of these is a perfect square? (a) 1597 (b) 1521 (c) 1557

Answer key

  1. 8096
  2. 96
  3. 4096
  4. 729
  5. 15
  6. 125
  7. 3
  8. 1/27
  9. 29715
  10. 5
  11. 216
  12. 9/4
  13. 961
  14. 20
  15. 1176
  16. 45254
  17. 16
  18. 1/32
  19. 12
  20. 144
  21. 114
  22. 8
  23. 10
  24. 0.043
  25. 55404
  26. 64
  27. 4216
  28. 5
  29. 0.0066
  30. 13
  31. 4
  32. 88
  33. 6391
  34. 21
  35. 2809
  36. 7
  37. 1/32
  38. 144
  39. 3/2
  40. 1521

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