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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 839 · 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.Which of these is a perfect square? (a) 1398 (b) 1369 (c) 1388
  2. 2.The length of a rectangle is 11 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  3. 3.What is the value of 5⁴ × 5⁻¹? =
  4. 4.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  5. 5.Which of these is a perfect square? (a) 211 (b) 214 (c) 196
  6. 6.How many whole numbers lie between 17² and 18²?
  7. 7.If a + b = 23 and ab = 132, what is a² + b²?
  8. 8.What is the value of 3¹⁰? =
  9. 9.How many whole numbers lie between 47² and 48²?
  10. 10.What is the smallest whole number by which 40 must be divided to get a perfect square?
  11. 11.Write 4¹² ÷ 4⁵ as a single power 4ⁿ. What is n?
  12. 12.Find the compound interest on ₹23200 at 10% per year for 2 years, compounded every year (in ₹).
  13. 13.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  14. 14.What is the value of 6⁶? =
  15. 15.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  16. 16.A room is 11 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  17. 17.What amount will ₹12900 grow to in 1 year at 10% per year compound interest (in ₹)?
  18. 18.What is the value of (3/4)⁻²? =
  19. 19.A cuboid is 9 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  20. 20.Use (a − b)² = a² − 2ab + b² to find 49².
  21. 21.A cuboid is 11 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
  22. 22.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  23. 23.2.5 × 10⁴ =
  24. 24.If a + b = 8 and ab = 15, what is a² + b²?
  25. 25.What is the value of 4³? =
  26. 26.What is the value of 5⁶ × 5⁻³? =
  27. 27.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  28. 28.What amount will ₹42700 grow to in 1 year at 5% per year compound interest (in ₹)?
  29. 29.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  30. 30.What is the value of 5² × 5⁻³? =
  31. 31.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
  32. 32.How many whole numbers lie between 44² and 45²?
  33. 33.A trapezium has an area of 196 square cm. Its parallel sides are 23 cm and 26 cm. What is the distance between them (in cm)?
  34. 34.Find the value of x² + 2xy + y² when x = 5 and y = 2.
  35. 35.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  36. 36.What is ∛512? =
  37. 37.What is the smallest whole number by which 252 must be multiplied to get a perfect square?
  38. 38.A square garden has an area of 1024 square m. How long is each side (in m)?
  39. 39.What is the value of 3⁴ × 3⁻⁶? =
  40. 40.What is 11²? =

Answer key

  1. 1369
  2. 14
  3. 125
  4. 841
  5. 196
  6. 34
  7. 265
  8. 59049
  9. 94
  10. 10
  11. 7
  12. 4872
  13. 54
  14. 46656
  15. 25
  16. 90
  17. 14190
  18. 16/9
  19. 102
  20. 2401
  21. 150
  22. 294
  23. 25000
  24. 34
  25. 64
  26. 125
  27. 15
  28. 44835
  29. 441
  30. 1/5
  31. 324
  32. 88
  33. 8
  34. 49
  35. 100
  36. 8
  37. 7
  38. 32
  39. 1/9
  40. 121

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