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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 182 · 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.A trapezium has parallel sides of 22 cm and 17 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  2. 2.A cuboid is 8 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  3. 3.What is √1089? =
  4. 4.What amount will ₹57700 grow to in 2 years at 10% per year compound interest (in ₹)?
  5. 5.What is the value of 7²? =
  6. 6.What is the value of 10⁻² (as a fraction)? =
  7. 7.A trapezium has an area of 480 square cm. Its parallel sides are 30 cm and 18 cm. What is the distance between them (in cm)?
  8. 8.Use (a + b)(a − b) = a² − b² to find 109 × 91.
  9. 9.A scooter is worth ₹32000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  10. 10.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  11. 11.Write 3.8 × 10⁻¹ as a decimal. =
  12. 12.The sum of two consecutive whole numbers is 109. What is the smallest of them?
  13. 13.Which of these is a perfect cube? (a) 669 (b) 560 (c) 512
  14. 14.A room is 11 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  15. 15.Write 7.5 × 10⁻⁴ as a decimal. =
  16. 16.If a − b = 2 and ab = 8, what is a² + b²?
  17. 17.What is the value of 5³ × 5⁻¹? =
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
  20. 20.What is ∛8? =
  21. 21.A trapezium has an area of 135 square cm. Its parallel sides are 6 cm and 24 cm. What is the distance between them (in cm)?
  22. 22.What is the value of 3¹ × 3⁻¹? =
  23. 23.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  24. 24.Write 6,50,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  25. 25.Use (a + b)(a − b) = a² − b² to find 101 × 99.
  26. 26.What is 88²? =
  27. 27.A father is 39 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  28. 28.Solve: m/3 + m/4 = 56. What is m?
  29. 29.Solve: 5(p − 3) = 4p + 8. What is p?
  30. 30.What is the value of 3⁷? =
  31. 31.What is the smallest whole number by which 640 must be multiplied to get a perfect square?
  32. 32.Write 4,500 in standard form as 4.5 × 10ⁿ. What is n?
  33. 33.Find the compound interest on ₹29000 at 10% per year for 2 years, compounded every year (in ₹).
  34. 34.What is the smallest whole number by which 80 must be divided to get a perfect square?
  35. 35.Write 1.5 × 10⁻³ as a decimal. =
  36. 36.A square garden has an area of 2601 square m. How long is each side (in m)?
  37. 37.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  38. 38.A trapezium has an area of 152 square cm. Its parallel sides are 4 cm and 15 cm. What is the distance between them (in cm)?
  39. 39.A father is 22 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  40. 40.What is the smallest whole number by which 135 must be divided to get a perfect cube?

Answer key

  1. 39
  2. 472
  3. 33
  4. 69817
  5. 49
  6. 1/100
  7. 20
  8. 9919
  9. 19652
  10. 7
  11. 0.38
  12. 54
  13. 512
  14. 144
  15. 0.00075
  16. 20
  17. 25
  18. 2
  19. 30
  20. 2
  21. 9
  22. 1
  23. 121
  24. 7
  25. 9999
  26. 7744
  27. 12
  28. 96
  29. 23
  30. 2187
  31. 10
  32. 3
  33. 6090
  34. 5
  35. 0.0015
  36. 51
  37. 9
  38. 16
  39. 3
  40. 5

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