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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 632 · 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.Solve: 4(p − 1) = p + 23. What is p?
  2. 2.What is the value of (3/8)⁻¹? =
  3. 3.What is the value of 3²? =
  4. 4.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  5. 5.A trapezium has parallel sides of 26 cm and 15 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  6. 6.What is ∛2744? =
  7. 7.A trapezium has parallel sides of 9 cm and 6 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  8. 8.What is 2³? =
  9. 9.A trapezium has parallel sides of 5 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 16².
  11. 11.Which of these is a perfect cube? (a) 139 (b) 125 (c) 199
  12. 12.A father is 14 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  13. 13.The length of a rectangle is 15 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  14. 14.What is the smallest whole number by which 896 must be divided to get a perfect square?
  15. 15.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is √6724? =
  17. 17.Solve: 8y + 16 = 3y + 61. What is y?
  18. 18.What is ∛27? =
  19. 19.A scooter is worth ₹9900. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  20. 20.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  21. 21.Which of these is a perfect square? (a) 730 (b) 729 (c) 763
  22. 22.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  23. 23.Use (a − b)² = a² − 2ab + b² to find 65².
  24. 24.What is the smallest whole number by which 208 must be multiplied to get a perfect square?
  25. 25.The diagonals of a rhombus are 8 cm and 4 cm. What is its area (in square cm)?
  26. 26.What is the value of 3² × 3⁻⁵? =
  27. 27.If a + b = 13 and ab = 22, what is a² + b²?
  28. 28.A trapezium has parallel sides of 23 cm and 12 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  29. 29.What is the value of 2⁴ × 2⁻⁵? =
  30. 30.Find the compound interest on ₹33500 at 20% per year for 3 years, compounded every year (in ₹).
  31. 31.What is 14³? =
  32. 32.A father is 16 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  33. 33.What is √784? =
  34. 34.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  35. 35.What is 4³? =
  36. 36.A cuboid is 15 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  37. 37.Which of these is a perfect square? (a) 1201 (b) 1216 (c) 1156
  38. 38.The sum of four consecutive whole numbers is 118. What is the smallest of them?
  39. 39.A trapezium has parallel sides of 21 cm and 8 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  40. 40.Which of these is a perfect square? (a) 977 (b) 961 (c) 979

Answer key

  1. 9
  2. 8/3
  3. 9
  4. 72
  5. 82
  6. 14
  7. 135
  8. 8
  9. 42
  10. 256
  11. 125
  12. 9
  13. 18
  14. 14
  15. 125
  16. 82
  17. 9
  18. 3
  19. 8019
  20. 3
  21. 729
  22. 144
  23. 4225
  24. 13
  25. 16
  26. 1/27
  27. 125
  28. 280
  29. 1/2
  30. 24388
  31. 2744
  32. 6
  33. 28
  34. 121
  35. 64
  36. 270
  37. 1156
  38. 28
  39. 232
  40. 961

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