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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 350 · 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) 94 (b) 76 (c) 64
  2. 2.Find the compound interest on ₹11000 at 10% per year for 3 years, compounded every year (in ₹).
  3. 3.What is the value of (6/7)⁻¹? =
  4. 4.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  5. 5.Solve: 5y + 14 = y + 18. What is y?
  6. 6.What is the smallest whole number by which 80 must be divided to get a perfect square?
  7. 7.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  8. 8.What is the value of 4⁵? =
  9. 9.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  10. 10.Use (a + b)² = a² + 2ab + b² to find 75².
  11. 11.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  12. 12.Solve: 4(y − 4) = 2y + 22. What is y?
  13. 13.Solve: 6t + 3 = 4t + 7. What is t?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 13².
  15. 15.A father is 7 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  16. 16.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  17. 17.What is the smallest whole number by which 448 must be multiplied to get a perfect square?
  18. 18.Which of these is a perfect cube? (a) 1000 (b) 1201 (c) 1269
  19. 19.A trapezium has an area of 189 square cm. Its parallel sides are 17 cm and 4 cm. What is the distance between them (in cm)?
  20. 20.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
  21. 21.A scooter is worth ₹14100. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  22. 22.What is the value of 8⁻² (as a fraction)? =
  23. 23.5.3 × 10² =
  24. 24.Find the compound interest on ₹22700 at 10% per year for 1 year, compounded every year (in ₹).
  25. 25.Which of these is a perfect square? (a) 196 (b) 199 (c) 219
  26. 26.What amount will ₹46400 grow to in 3 years at 25% per year compound interest (in ₹)?
  27. 27.The length of a rectangle is 12 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  28. 28.What amount will ₹30800 grow to in 1 year at 4% per year compound interest (in ₹)?
  29. 29.What is ∛729? =
  30. 30.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.Use (a − b)² = a² − 2ab + b² to find 82².
  33. 33.What is the value of 4⁻¹ (as a fraction)? =
  34. 34.What is the value of 4²? =
  35. 35.Find the compound interest on ₹27200 at 25% per year for 3 years, compounded every year (in ₹).
  36. 36.Solve: 8p + 3 = 2p + 81. What is p?
  37. 37.A trapezium has an area of 105 square cm. Its parallel sides are 10 cm and 25 cm. What is the distance between them (in cm)?
  38. 38.Solve: 6t + 12 = 3t + 24. What is t?
  39. 39.The diagonals of a rhombus are 26 cm and 27 cm. What is its area (in square cm)?
  40. 40.Use (a + b)(a − b) = a² − b² to find 44 × 36.

Answer key

  1. 64
  2. 3641
  3. 7/6
  4. 54
  5. 1
  6. 5
  7. 784
  8. 1024
  9. 16
  10. 5625
  11. 10
  12. 19
  13. 2
  14. 169
  15. 2
  16. 7
  17. 7
  18. 1000
  19. 18
  20. 52
  21. 12690
  22. 1/64
  23. 530
  24. 2270
  25. 196
  26. 90625
  27. 24
  28. 32032
  29. 9
  30. 864
  31. 27
  32. 6724
  33. 1/4
  34. 16
  35. 25925
  36. 13
  37. 6
  38. 4
  39. 351
  40. 1584

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