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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 792 · 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.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
  2. 2.A cuboid is 12 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  3. 3.Which of these is a perfect square? (a) 841 (b) 858 (c) 890
  4. 4.The diagonals of a rhombus are 26 cm and 6 cm. What is its area (in square cm)?
  5. 5.What is the value of 3⁻¹ (as a fraction)? =
  6. 6.Which of these is a perfect cube? (a) 2197 (b) 2665 (c) 2693
  7. 7.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  8. 8.What is the difference between the compound interest and the simple interest on ₹56600 at 10% per year for 2 years (in ₹)?
  9. 9.A scooter is worth ₹47100. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 17².
  11. 11.Find the value of x² + 2xy + y² when x = 6 and y = 3.
  12. 12.Use (a + b)(a − b) = a² − b² to find 44 × 36.
  13. 13.What amount will ₹41900 grow to in 1 year at 25% per year compound interest (in ₹)?
  14. 14.A trapezium has parallel sides of 30 cm and 23 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  15. 15.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  16. 16.A square garden has an area of 225 square m. How long is each side (in m)?
  17. 17.A room is 7 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  18. 18.A cuboid is 8 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  19. 19.A trapezium has parallel sides of 16 cm and 26 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  20. 20.A square garden has an area of 2916 square m. How long is each side (in m)?
  21. 21.Write 1,80,00,000 in standard form as 1.8 × 10ⁿ. What is n?
  22. 22.Write 4,60,000 in standard form as 4.6 × 10ⁿ. What is n?
  23. 23.What is √1369? =
  24. 24.Write 1,90,000 in standard form as 1.9 × 10ⁿ. What is n?
  25. 25.Find the value of x² + 2xy + y² when x = 15 and y = 8.
  26. 26.A scooter is worth ₹2100. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  27. 27.A trapezium has parallel sides of 11 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  28. 28.Solve: 4(m − 4) = 3m + 12. What is m?
  29. 29.What is √7921? =
  30. 30.How many whole numbers lie between 36² and 37²?
  31. 31.The length of a rectangle is 3 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
  32. 32.What is the difference between the compound interest and the simple interest on ₹11200 at 15% per year for 2 years (in ₹)?
  33. 33.Solve: 5(m − 4) = m + 40. What is m?
  34. 34.Which of these is a perfect cube? (a) 439 (b) 479 (c) 343
  35. 35.What is √121? =
  36. 36.Write 1.4 × 10⁻⁴ as a decimal. =
  37. 37.What is the value of 9²? =
  38. 38.What is ∛729? =
  39. 39.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?

Answer key

  1. 2
  2. 416
  3. 841
  4. 78
  5. 1/3
  6. 2197
  7. 64
  8. 566
  9. 43332
  10. 289
  11. 81
  12. 1584
  13. 52375
  14. 106
  15. 256
  16. 15
  17. 120
  18. 256
  19. 84
  20. 54
  21. 7
  22. 5
  23. 37
  24. 5
  25. 529
  26. 1848
  27. 60
  28. 28
  29. 89
  30. 72
  31. 21
  32. 252
  33. 15
  34. 343
  35. 11
  36. 0.00014
  37. 81
  38. 9
  39. 216
  40. 110

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