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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 64 · 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.A trapezium has parallel sides of 11 cm and 5 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  2. 2.Write 2.2 × 10⁻⁴ as a decimal. =
  3. 3.What is √1156? =
  4. 4.If a − b = 7 and ab = 60, what is a² + b²?
  5. 5.Which of these is a perfect cube? (a) 1143 (b) 1221 (c) 1000
  6. 6.Use (a + b)² = a² + 2ab + b² to find 33².
  7. 7.How many whole numbers lie between 13² and 14²?
  8. 8.A cuboid is 10 cm long, 12 cm wide and 5 cm high. What is its total surface area (in square cm)?
  9. 9.Use (a + b)² = a² + 2ab + b² to find 71².
  10. 10.Solve: 6p + 4 = 4p + 16. What is p?
  11. 11.The diagonals of a rhombus are 28 cm and 21 cm. What is its area (in square cm)?
  12. 12.If a − b = 1 and ab = 20, what is a² + b²?
  13. 13.1.1 × 10³ =
  14. 14.If a + b = 17 and ab = 72, what is a² + b²?
  15. 15.What is the value of 10³ × 10⁻³? =
  16. 16.Use (a + b)(a − b) = a² − b² to find 94 × 86.
  17. 17.A trapezium has parallel sides of 13 cm and 2 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  18. 18.What is √1681? =
  19. 19.Solve: 6(x − 1) = 2x + 42. What is x?
  20. 20.What is 77²? =
  21. 21.What amount will ₹6900 grow to in 1 year at 10% per year compound interest (in ₹)?
  22. 22.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  23. 23.What is the value of 9²? =
  24. 24.Write 3⁶ × 3⁷ as a single power 3ⁿ. What is n?
  25. 25.Which of these is a perfect square? (a) 127 (b) 121 (c) 143
  26. 26.A cuboid is 13 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  27. 27.What is the value of 2⁶ × 2⁻³? =
  28. 28.Use (a − b)² = a² − 2ab + b² to find 49².
  29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 45 must be divided to get a perfect square?
  31. 31.Use (a + b)(a − b) = a² − b² to find 102 × 98.
  32. 32.If a + b = 16 and ab = 63, what is a² + b²?
  33. 33.A town has 12400 people. The population grows by 25% every year. What will the population be after 2 years?
  34. 34.Which of these is a perfect square? (a) 206 (b) 199 (c) 196
  35. 35.What is ∛3375? =
  36. 36.What amount will ₹25000 grow to in 2 years at 12% per year compound interest (in ₹)?
  37. 37.Find the compound interest on ₹28900 at 5% per year for 1 year, compounded every year (in ₹).
  38. 38.If a + b = 18 and ab = 72, what is a² + b²?
  39. 39.What is the value of (1/4)⁻¹? =
  40. 40.Which of these is a perfect square? (a) 1388 (b) 1434 (c) 1369

Answer key

  1. 72
  2. 0.00022
  3. 34
  4. 169
  5. 1000
  6. 1089
  7. 26
  8. 460
  9. 5041
  10. 6
  11. 294
  12. 41
  13. 1100
  14. 145
  15. 1
  16. 8084
  17. 75
  18. 41
  19. 12
  20. 5929
  21. 7590
  22. 2
  23. 81
  24. 13
  25. 121
  26. 502
  27. 8
  28. 2401
  29. 14
  30. 5
  31. 9996
  32. 130
  33. 19375
  34. 196
  35. 15
  36. 31360
  37. 1445
  38. 180
  39. 4
  40. 1369

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