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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 176 · 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 cube? (a) 2366 (b) 2587 (c) 2197
  2. 2.What is the value of 3⁻² (as a fraction)? =
  3. 3.What is the smallest whole number by which 224 must be multiplied to get a perfect square?
  4. 4.A trapezium has parallel sides of 10 cm and 12 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  5. 5.How many whole numbers lie between 26² and 27²?
  6. 6.What is √3136? =
  7. 7.What is the value of 2⁸? =
  8. 8.Use (a + b)² = a² + 2ab + b² to find 101².
  9. 9.The length of a rectangle is 15 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  10. 10.Which of these is a perfect cube? (a) 27 (b) 35 (c) 43
  11. 11.What is the value of 2³? =
  12. 12.What is 10³? =
  13. 13.What is the value of 3¹⁰? =
  14. 14.Write 5¹³ ÷ 5⁴ as a single power 5ⁿ. What is n?
  15. 15.What is 5³? =
  16. 16.What is ∛13824? =
  17. 17.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.Find the value of x² − 2xy + y² when x = 8 and y = 7.
  19. 19.What is 81²? =
  20. 20.The diagonals of a rhombus are 30 cm and 29 cm. What is its area (in square cm)?
  21. 21.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.Find the compound interest on ₹57800 at 25% per year for 1 year, compounded every year (in ₹).
  23. 23.Use a² − b² = (a + b)(a − b) to find 21² − 9².
  24. 24.A room is 5 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.What amount will ₹57500 grow to in 2 years at 12% per year compound interest (in ₹)?
  26. 26.A scooter is worth ₹12500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  27. 27.Write 3⁵ ÷ 3² as a single power 3ⁿ. What is n?
  28. 28.What is the value of 10² × 10⁻⁴? =
  29. 29.Which of these is a perfect square? (a) 100 (b) 110 (c) 111
  30. 30.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  31. 31.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  32. 32.How many whole numbers lie between 11² and 12²?
  33. 33.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  34. 34.What amount will ₹53100 grow to in 1 year at 4% per year compound interest (in ₹)?
  35. 35.9.1 × 10⁵ =
  36. 36.What is the smallest whole number by which 216 must be multiplied to get a perfect square?
  37. 37.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  38. 38.What is the difference between the compound interest and the simple interest on ₹41200 at 5% per year for 2 years (in ₹)?
  39. 39.What is the difference between the compound interest and the simple interest on ₹57300 at 20% per year for 2 years (in ₹)?
  40. 40.What is the value of 4⁻⁴ (as a fraction)? =

Answer key

  1. 2197
  2. 1/9
  3. 14
  4. 154
  5. 52
  6. 56
  7. 256
  8. 10201
  9. 16
  10. 27
  11. 8
  12. 1000
  13. 59049
  14. 9
  15. 125
  16. 24
  17. 80
  18. 1
  19. 6561
  20. 435
  21. 125
  22. 14450
  23. 360
  24. 110
  25. 72128
  26. 11520
  27. 3
  28. 1/100
  29. 100
  30. 5
  31. 12
  32. 22
  33. 576
  34. 55224
  35. 910000
  36. 6
  37. 1014
  38. 103
  39. 2292
  40. 1/256

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