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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 569 · 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 value of 7²? =
  2. 2.What is √225? =
  3. 3.A trapezium has parallel sides of 8 cm and 24 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  4. 4.Use a² − b² = (a + b)(a − b) to find 24² − 5².
  5. 5.What is √5329? =
  6. 6.Solve: 4p + 20 = 3p + 29. What is p?
  7. 7.Which of these is a perfect square? (a) 1185 (b) 1199 (c) 1156
  8. 8.What is 59²? =
  9. 9.Use (a + b)² = a² + 2ab + b² to find 18².
  10. 10.What is ∛729? =
  11. 11.A scooter is worth ₹32500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  12. 12.What is ∛27? =
  13. 13.What is the difference between the compound interest and the simple interest on ₹26000 at 25% per year for 2 years (in ₹)?
  14. 14.Solve: 6t + 7 = 2t + 19. What is t?
  15. 15.A scooter is worth ₹9600. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  16. 16.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  17. 17.Write 1,900 in standard form as 1.9 × 10ⁿ. What is n?
  18. 18.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  19. 19.Write 9¹⁵ ÷ 9⁷ as a single power 9ⁿ. What is n?
  20. 20.Use a² − b² = (a + b)(a − b) to find 81² − 52².
  21. 21.If a + b = 4 and ab = 3, what is a² + b²?
  22. 22.What is the value of 9⁻¹ (as a fraction)? =
  23. 23.A square garden has an area of 1369 square m. How long is each side (in m)?
  24. 24.A trapezium has an area of 304 square cm. Its parallel sides are 11 cm and 27 cm. What is the distance between them (in cm)?
  25. 25.What is the value of 3⁶? =
  26. 26.What is the smallest whole number by which 294 must be divided to get a perfect square?
  27. 27.Use (a + b)(a − b) = a² − b² to find 92 × 88.
  28. 28.What is 16²? =
  29. 29.A square garden has an area of 676 square m. How long is each side (in m)?
  30. 30.What is the value of 2⁴ × 2⁻⁵? =
  31. 31.The length of a rectangle is 8 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
  32. 32.The diagonals of a rhombus are 10 cm and 14 cm. What is its area (in square cm)?
  33. 33.What is the smallest whole number by which 224 must be divided to get a perfect square?
  34. 34.Write 93,00,000 in standard form as 9.3 × 10ⁿ. What is n?
  35. 35.Use (a + b)(a − b) = a² − b² to find 58 × 42.
  36. 36.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  37. 37.Find the compound interest on ₹38400 at 25% per year for 3 years, compounded every year (in ₹).
  38. 38.How many whole numbers lie between 44² and 45²?
  39. 39.Solve: 6(x − 4) = 5x + 1. What is x?
  40. 40.What is the value of 10¹ × 10⁻¹? =

Answer key

  1. 49
  2. 15
  3. 64
  4. 551
  5. 73
  6. 9
  7. 1156
  8. 3481
  9. 324
  10. 9
  11. 27508
  12. 3
  13. 1625
  14. 3
  15. 8448
  16. 256
  17. 3
  18. 10
  19. 8
  20. 3857
  21. 10
  22. 1/9
  23. 37
  24. 16
  25. 729
  26. 6
  27. 8096
  28. 256
  29. 26
  30. 1/2
  31. 5
  32. 70
  33. 14
  34. 6
  35. 2436
  36. 216
  37. 36600
  38. 88
  39. 25
  40. 1

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