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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 353 · 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: 5(t − 1) = t + 11. What is t?
  2. 2.The length of a rectangle is 12 cm more than its width. Its perimeter is 140 cm. What is its width (in cm)?
  3. 3.What amount will ₹1600 grow to in 3 years at 25% per year compound interest (in ₹)?
  4. 4.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
  5. 5.What amount will ₹40000 grow to in 3 years at 15% per year compound interest (in ₹)?
  6. 6.The length of a rectangle is 4 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  7. 7.What is the smallest whole number by which 80 must be divided to get a perfect square?
  8. 8.What is the difference between the compound interest and the simple interest on ₹36000 at 15% per year for 2 years (in ₹)?
  9. 9.Find the value of x² + 2xy + y² when x = 10 and y = 8.
  10. 10.What is the smallest whole number by which 343 must be divided to get a perfect square?
  11. 11.A cuboid is 14 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
  12. 12.Write 9¹⁰ ÷ 9⁴ as a single power 9ⁿ. What is n?
  13. 13.Use (a − b)² = a² − 2ab + b² to find 64².
  14. 14.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  15. 15.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  16. 16.If a + b = 4 and ab = 3, what is a² + b²?
  17. 17.Find the compound interest on ₹50000 at 15% per year for 2 years, compounded every year (in ₹).
  18. 18.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  19. 19.How many whole numbers lie between 8² and 9²?
  20. 20.What is ∛8? =
  21. 21.What is the value of 3⁵ × 3⁻⁶? =
  22. 22.What is the value of 2⁻⁵ (as a fraction)? =
  23. 23.Write 6,50,00,000 in standard form as 6.5 × 10ⁿ. What is n?
  24. 24.How many whole numbers lie between 21² and 22²?
  25. 25.Solve: 4(p − 1) = p + 29. What is p?
  26. 26.Use (a + b)² = a² + 2ab + b² to find 88².
  27. 27.Write 6.7 × 10⁻³ as a decimal. =
  28. 28.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 12 must be divided to get a perfect square?
  30. 30.What is the value of 4⁻¹ (as a fraction)? =
  31. 31.What is the value of 2³ × 2⁻⁴? =
  32. 32.Write 69,000 in standard form as 6.9 × 10ⁿ. What is n?
  33. 33.A trapezium has parallel sides of 13 cm and 4 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  34. 34.If a + b = 7 and ab = 10, what is a² + b²?
  35. 35.Use (a − b)² = a² − 2ab + b² to find 68².
  36. 36.What amount will ₹17200 grow to in 1 year at 12% per year compound interest (in ₹)?
  37. 37.Find the value of x² + 2xy + y² when x = 11 and y = 8.
  38. 38.Use a² − b² = (a + b)(a − b) to find 88² − 49².
  39. 39.Use a² − b² = (a + b)(a − b) to find 98² − 23².
  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. 4
  2. 29
  3. 3125
  4. 5044
  5. 60835
  6. 18
  7. 5
  8. 810
  9. 324
  10. 7
  11. 568
  12. 6
  13. 4096
  14. 5
  15. 11
  16. 10
  17. 16125
  18. 8
  19. 16
  20. 2
  21. 1/3
  22. 1/32
  23. 7
  24. 42
  25. 11
  26. 7744
  27. 0.0067
  28. 8
  29. 3
  30. 1/4
  31. 1/2
  32. 4
  33. 119
  34. 29
  35. 4624
  36. 19264
  37. 361
  38. 5343
  39. 9075
  40. 8

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