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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 949 · 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 ∛5832? =
  2. 2.The sum of two consecutive whole numbers is 73. What is the smallest of them?
  3. 3.Use a² − b² = (a + b)(a − b) to find 95² − 41².
  4. 4.Solve: 4(m − 1) = m + 23. What is m?
  5. 5.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  6. 6.Write 8,70,00,000 in standard form as 8.7 × 10ⁿ. What is n?
  7. 7.What amount will ₹57000 grow to in 1 year at 5% per year compound interest (in ₹)?
  8. 8.Which of these is a perfect square? (a) 1449 (b) 1520 (c) 1444
  9. 9.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  10. 10.Which of these is a perfect square? (a) 100 (b) 104 (c) 118
  11. 11.Write 4.4 × 10⁻² as a decimal. =
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.A square garden has an area of 2025 square m. How long is each side (in m)?
  14. 14.Write (7⁷)⁸ as a single power 7ⁿ. What is n?
  15. 15.A square garden has an area of 256 square m. How long is each side (in m)?
  16. 16.A trapezium has an area of 333 square cm. Its parallel sides are 13 cm and 24 cm. What is the distance between them (in cm)?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 22².
  18. 18.What is the difference between the compound interest and the simple interest on ₹12800 at 25% per year for 2 years (in ₹)?
  19. 19.How many whole numbers lie between 46² and 47²?
  20. 20.The diagonals of a rhombus are 4 cm and 5 cm. What is its area (in square cm)?
  21. 21.Solve: 4(x − 1) = 3x + 4. What is x?
  22. 22.Find the compound interest on ₹15500 at 25% per year for 1 year, compounded every year (in ₹).
  23. 23.Solve: 7x + 7 = 5x + 23. What is x?
  24. 24.What is the value of 2⁹? =
  25. 25.What is ∛216? =
  26. 26.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  27. 27.Use (a + b)(a − b) = a² − b² to find 51 × 49.
  28. 28.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  29. 29.Solve: 5(n − 3) = 2n + 30. What is n?
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  33. 33.Write 6¹⁵ ÷ 6⁸ as a single power 6ⁿ. What is n?
  34. 34.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  35. 35.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  36. 36.Solve: x/3 + x/5 = 32. What is x?
  37. 37.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  38. 38.What is the value of 2² × 2⁻²? =
  39. 39.Use a² − b² = (a + b)(a − b) to find 81² − 57².
  40. 40.What is the value of 10⁻² (as a fraction)? =

Answer key

  1. 18
  2. 36
  3. 7344
  4. 9
  5. 42
  6. 7
  7. 59850
  8. 1444
  9. 7
  10. 100
  11. 0.044
  12. 8
  13. 45
  14. 56
  15. 16
  16. 18
  17. 484
  18. 800
  19. 92
  20. 10
  21. 8
  22. 3875
  23. 8
  24. 512
  25. 6
  26. 10
  27. 2499
  28. 169
  29. 15
  30. 27
  31. 216
  32. 11
  33. 7
  34. 150
  35. 104
  36. 60
  37. 2
  38. 1
  39. 3312
  40. 1/100

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