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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 277 · 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.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  2. 2.3.7 × 10³ =
  3. 3.What is 70²? =
  4. 4.What amount will ₹33000 grow to in 1 year at 4% per year compound interest (in ₹)?
  5. 5.A trapezium has an area of 392 square cm. Its parallel sides are 29 cm and 20 cm. What is the distance between them (in cm)?
  6. 6.Which of these is a perfect square? (a) 1177 (b) 1156 (c) 1179
  7. 7.What is √625? =
  8. 8.Find the compound interest on ₹52100 at 10% per year for 2 years, compounded every year (in ₹).
  9. 9.A cuboid is 6 cm long, 6 cm wide and 6 cm high. What is its total surface area (in square cm)?
  10. 10.What is the value of (4/5)⁻¹? =
  11. 11.Write 2.1 × 10⁻² as a decimal. =
  12. 12.A father is 36 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  13. 13.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  14. 14.Solve: 7p + 2 = p + 20. What is p?
  15. 15.The sum of three consecutive whole numbers is 135. What is the smallest of them?
  16. 16.Which of these is a perfect square? (a) 350 (b) 341 (c) 324
  17. 17.The sum of two consecutive whole numbers is 91. What is the smallest of them?
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.Use (a − b)² = a² − 2ab + b² to find 75².
  20. 20.A father is 21 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  21. 21.Write 6¹³ ÷ 6⁵ as a single power 6ⁿ. What is n?
  22. 22.Find the compound interest on ₹14400 at 15% per year for 1 year, compounded every year (in ₹).
  23. 23.What is √7921? =
  24. 24.Write 9¹³ ÷ 9⁷ as a single power 9ⁿ. What is n?
  25. 25.What is 5³? =
  26. 26.The diagonals of a rhombus are 8 cm and 14 cm. What is its area (in square cm)?
  27. 27.What is the value of (2/5)⁻¹? =
  28. 28.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  29. 29.Solve: 3(n − 2) = n + 16. What is n?
  30. 30.Solve: 3(m − 3) = m + 1. What is m?
  31. 31.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  32. 32.Find the value of x² − 2xy + y² when x = 14 and y = 9.
  33. 33.A cuboid is 5 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.What is ∛512? =
  35. 35.The length of a rectangle is 11 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  36. 36.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  37. 37.A cuboid is 6 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
  38. 38.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  39. 39.A trapezium has an area of 93 square cm. Its parallel sides are 10 cm and 21 cm. What is the distance between them (in cm)?
  40. 40.Write 9.9 × 10⁻¹ as a decimal. =

Answer key

  1. 17
  2. 3700
  3. 4900
  4. 34320
  5. 16
  6. 1156
  7. 25
  8. 10941
  9. 216
  10. 5/4
  11. 0.021
  12. 9
  13. 4
  14. 3
  15. 44
  16. 324
  17. 45
  18. 2
  19. 5625
  20. 5
  21. 8
  22. 2160
  23. 89
  24. 6
  25. 125
  26. 56
  27. 5/2
  28. 289
  29. 11
  30. 5
  31. 7
  32. 25
  33. 132
  34. 8
  35. 25
  36. 784
  37. 208
  38. 121
  39. 6
  40. 0.99

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