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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 600 · 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: 3p + 17 = p + 19. What is p?
  2. 2.Use (a − b)² = a² − 2ab + b² to find 68².
  3. 3.Find the compound interest on ₹14000 at 10% per year for 3 years, compounded every year (in ₹).
  4. 4.Write 5,30,000 in standard form as 5.3 × 10ⁿ. What is n?
  5. 5.If a − b = 2 and ab = 48, what is a² + b²?
  6. 6.Solve: 6m + 20 = 2m + 44. What is m?
  7. 7.What is the value of 2⁻⁵ (as a fraction)? =
  8. 8.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  9. 9.Solve: t/4 + t/2 = 15. What is t?
  10. 10.The diagonals of a rhombus are 12 cm and 5 cm. What is its area (in square cm)?
  11. 11.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  12. 12.Use a² − b² = (a + b)(a − b) to find 59² − 24².
  13. 13.What is the value of 3⁴ × 3⁻²? =
  14. 14.A trapezium has parallel sides of 30 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  15. 15.Which of these is a perfect square? (a) 800 (b) 837 (c) 784
  16. 16.What is the value of 9⁵? =
  17. 17.A square garden has an area of 2025 square m. How long is each side (in m)?
  18. 18.A cuboid is 9 cm long, 4 cm wide and 5 cm high. What is its total surface area (in square cm)?
  19. 19.What is 4³? =
  20. 20.The sum of two consecutive whole numbers is 55. What is the largest of them?
  21. 21.Use a² − b² = (a + b)(a − b) to find 74² − 44².
  22. 22.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is the value of 6⁶? =
  24. 24.Solve: 3(x − 3) = 2x + 6. What is x?
  25. 25.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  26. 26.Find the compound interest on ₹39400 at 8% per year for 1 year, compounded every year (in ₹).
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  29. 29.1.8 × 10⁷ =
  30. 30.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  31. 31.What is √7921? =
  32. 32.If a + b = 22 and ab = 120, what is a² + b²?
  33. 33.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  35. 35.What amount will ₹22300 grow to in 2 years at 10% per year compound interest (in ₹)?
  36. 36.Solve: 5(m − 1) = 4m + 6. What is m?
  37. 37.A cuboid is 9 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  38. 38.What is the value of (4/7)⁻²? =
  39. 39.A square garden has an area of 784 square m. How long is each side (in m)?
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 1
  2. 4624
  3. 4634
  4. 5
  5. 100
  6. 6
  7. 1/32
  8. 54
  9. 20
  10. 30
  11. 3
  12. 2905
  13. 9
  14. 350
  15. 784
  16. 59049
  17. 45
  18. 202
  19. 64
  20. 28
  21. 3540
  22. 27
  23. 46656
  24. 15
  25. 2
  26. 3152
  27. 27
  28. 2904
  29. 18000000
  30. 15
  31. 89
  32. 244
  33. 64
  34. 7
  35. 26983
  36. 11
  37. 510
  38. 49/16
  39. 28
  40. 8

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