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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 426 · 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.The diagonals of a rhombus are 12 cm and 8 cm. What is its area (in square cm)?
  2. 2.A square garden has an area of 729 square m. How long is each side (in m)?
  3. 3.Write 54,00,000 in standard form as 5.4 × 10ⁿ. What is n?
  4. 4.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  5. 5.Solve: m/2 + m/6 = 4. What is m?
  6. 6.Find the value of x² − 2xy + y² when x = 14 and y = 6.
  7. 7.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  8. 8.What is the value of (1/7)⁻²? =
  9. 9.A room is 10 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.Which of these is a perfect square? (a) 173 (b) 172 (c) 169
  12. 12.How many whole numbers lie between 12² and 13²?
  13. 13.What is the smallest whole number by which 176 must be multiplied to get a perfect square?
  14. 14.Write 2⁹ × 2⁴ as a single power 2ⁿ. What is n?
  15. 15.What is the value of 2¹⁰? =
  16. 16.A trapezium has parallel sides of 19 cm and 17 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  17. 17.Find the compound interest on ₹37600 at 15% per year for 2 years, compounded every year (in ₹).
  18. 18.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  19. 19.What is the value of (5/8)⁻¹? =
  20. 20.Write 5.7 × 10⁻² as a decimal. =
  21. 21.The sum of two consecutive whole numbers is 27. What is the smallest of them?
  22. 22.Solve: 6y + 9 = y + 59. What is y?
  23. 23.Solve: p/2 + p/3 = 35. What is p?
  24. 24.Use (a + b)² = a² + 2ab + b² to find 26².
  25. 25.A father is 24 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  26. 26.What is √6241? =
  27. 27.What is the difference between the compound interest and the simple interest on ₹37500 at 4% per year for 2 years (in ₹)?
  28. 28.What is the value of 5⁵? =
  29. 29.What is the smallest whole number by which 160 must be divided to get a perfect square?
  30. 30.A cuboid is 6 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
  31. 31.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  32. 32.A cuboid is 5 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  33. 33.What is the difference between the compound interest and the simple interest on ₹12400 at 15% per year for 2 years (in ₹)?
  34. 34.Write 5⁹ ÷ 5³ as a single power 5ⁿ. What is n?
  35. 35.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  36. 36.Solve: 4m + 6 = 2m + 22. What is m?
  37. 37.Which of these is a perfect square? (a) 555 (b) 530 (c) 529
  38. 38.A trapezium has parallel sides of 12 cm and 27 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  39. 39.What is 40²? =
  40. 40.How many whole numbers lie between 47² and 48²?

Answer key

  1. 48
  2. 27
  3. 6
  4. 256
  5. 6
  6. 64
  7. 25
  8. 49
  9. 120
  10. 8
  11. 169
  12. 24
  13. 11
  14. 13
  15. 1024
  16. 270
  17. 12126
  18. 7
  19. 8/5
  20. 0.057
  21. 13
  22. 10
  23. 42
  24. 676
  25. 11
  26. 79
  27. 60
  28. 3125
  29. 10
  30. 180
  31. 12
  32. 358
  33. 279
  34. 6
  35. 7
  36. 8
  37. 529
  38. 234
  39. 1600
  40. 94

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