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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 787 · 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)² = a² + 2ab + b² to find 11².
  2. 2.What is the value of 2³ × 2⁻⁴? =
  3. 3.Solve: x/4 + x/5 = 54. What is x?
  4. 4.What is the value of 8⁻³ (as a fraction)? =
  5. 5.What is √1681? =
  6. 6.The diagonals of a rhombus are 24 cm and 16 cm. What is its area (in square cm)?
  7. 7.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.Use (a − b)² = a² − 2ab + b² to find 49².
  9. 9.What is the smallest whole number by which 810 must be multiplied to get a perfect square?
  10. 10.What is 11³? =
  11. 11.A trapezium has an area of 350 square cm. Its parallel sides are 29 cm and 6 cm. What is the distance between them (in cm)?
  12. 12.Solve: 7p + 3 = 5p + 25. What is p?
  13. 13.Use (a + b)(a − b) = a² − b² to find 86 × 74.
  14. 14.What is the smallest whole number by which 108 must be divided to get a perfect square?
  15. 15.What is 18³? =
  16. 16.A scooter is worth ₹16000. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
  17. 17.A scooter is worth ₹16000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  18. 18.What is the value of 8⁴? =
  19. 19.Which of these is a perfect cube? (a) 29 (b) 27 (c) 38
  20. 20.A trapezium has an area of 280 square cm. Its parallel sides are 10 cm and 25 cm. What is the distance between them (in cm)?
  21. 21.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  22. 22.How many whole numbers lie between 15² and 16²?
  23. 23.Find the value of x² + 2xy + y² when x = 14 and y = 3.
  24. 24.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  25. 25.A trapezium has parallel sides of 14 cm and 3 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  26. 26.Write 6,60,00,000 in standard form as 6.6 × 10ⁿ. What is n?
  27. 27.Use (a + b)² = a² + 2ab + b² to find 98².
  28. 28.What is 19³? =
  29. 29.Write (3⁴)² as a single power 3ⁿ. What is n?
  30. 30.A father is 28 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  31. 31.Write (9²)³ as a single power 9ⁿ. What is n?
  32. 32.What is the value of 4⁻⁴ (as a fraction)? =
  33. 33.A trapezium has an area of 82 square cm. Its parallel sides are 11 cm and 30 cm. What is the distance between them (in cm)?
  34. 34.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  35. 35.A scooter is worth ₹42500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  36. 36.Write 5¹³ ÷ 5⁶ as a single power 5ⁿ. What is n?
  37. 37.Solve: 6n + 17 = 5n + 21. What is n?
  38. 38.Use (a + b)(a − b) = a² − b² to find 29 × 11.
  39. 39.A scooter is worth ₹43800. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  40. 40.A trapezium has an area of 53 square cm. Its parallel sides are 24 cm and 29 cm. What is the distance between them (in cm)?

Answer key

  1. 121
  2. 1/2
  3. 120
  4. 1/512
  5. 41
  6. 192
  7. 60
  8. 2401
  9. 10
  10. 1331
  11. 20
  12. 11
  13. 6364
  14. 3
  15. 5832
  16. 11560
  17. 11664
  18. 4096
  19. 27
  20. 16
  21. 13
  22. 30
  23. 289
  24. 11
  25. 17
  26. 7
  27. 9604
  28. 6859
  29. 8
  30. 7
  31. 6
  32. 1/256
  33. 4
  34. 3
  35. 35972
  36. 7
  37. 4
  38. 319
  39. 32850
  40. 2

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