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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 677 · 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.Find the value of x² + 2xy + y² when x = 5 and y = 4.
  2. 2.What is √5776? =
  3. 3.A trapezium has parallel sides of 28 cm and 14 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  4. 4.Use a² − b² = (a + b)(a − b) to find 22² − 8².
  5. 5.What is √9025? =
  6. 6.Which of these is a perfect square? (a) 160 (b) 153 (c) 144
  7. 7.Solve: x/4 + x/5 = 72. What is x?
  8. 8.If a + b = 8 and ab = 15, what is a² + b²?
  9. 9.Write (7⁵)⁹ as a single power 7ⁿ. What is n?
  10. 10.A trapezium has an area of 299 square cm. Its parallel sides are 26 cm and 20 cm. What is the distance between them (in cm)?
  11. 11.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  12. 12.A scooter is worth ₹16000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  13. 13.A square garden has an area of 289 square m. How long is each side (in m)?
  14. 14.A square garden has an area of 100 square m. How long is each side (in m)?
  15. 15.If a + b = 14 and ab = 40, what is a² + b²?
  16. 16.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  17. 17.Use (a + b)² = a² + 2ab + b² to find 12².
  18. 18.How many whole numbers lie between 46² and 47²?
  19. 19.What is the smallest whole number by which 128 must be divided to get a perfect square?
  20. 20.What is the difference between the compound interest and the simple interest on ₹45000 at 8% per year for 2 years (in ₹)?
  21. 21.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is the value of 7²? =
  23. 23.What is the smallest whole number by which 27 must be divided to get a perfect square?
  24. 24.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.How many whole numbers lie between 34² and 35²?
  26. 26.A trapezium has parallel sides of 6 cm and 5 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  27. 27.Write 6.6 × 10⁻² as a decimal. =
  28. 28.What is the difference between the compound interest and the simple interest on ₹10600 at 20% per year for 2 years (in ₹)?
  29. 29.A trapezium has an area of 264 square cm. Its parallel sides are 4 cm and 29 cm. What is the distance between them (in cm)?
  30. 30.Find the value of x² + 2xy + y² when x = 15 and y = 1.
  31. 31.If a − b = 5 and ab = 6, what is a² + b²?
  32. 32.The diagonals of a rhombus are 16 cm and 29 cm. What is its area (in square cm)?
  33. 33.What is the value of 10³ × 10⁻⁵? =
  34. 34.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  35. 35.What is the value of 5⁶ × 5⁻⁶? =
  36. 36.Find the value of x² − y² when x = 5 and y = 4.
  37. 37.What is 4³? =
  38. 38.Write 8.4 × 10⁻¹ as a decimal. =
  39. 39.What is the value of 5⁶? =
  40. 40.Use (a + b)² = a² + 2ab + b² to find 94².

Answer key

  1. 81
  2. 76
  3. 42
  4. 420
  5. 95
  6. 144
  7. 160
  8. 34
  9. 45
  10. 13
  11. 144
  12. 13718
  13. 17
  14. 10
  15. 116
  16. 64
  17. 144
  18. 92
  19. 2
  20. 288
  21. 27
  22. 49
  23. 3
  24. 125
  25. 68
  26. 44
  27. 0.066
  28. 424
  29. 16
  30. 256
  31. 37
  32. 232
  33. 1/100
  34. 9
  35. 1
  36. 9
  37. 64
  38. 0.84
  39. 15625
  40. 8836

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