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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 619 · 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.What is the smallest whole number by which 28 must be divided to get a perfect square?
  2. 2.What is √3249? =
  3. 3.Write 7,50,000 in standard form as 7.5 × 10ⁿ. What is n?
  4. 4.Which of these is a perfect cube? (a) 27 (b) 39 (c) 54
  5. 5.A cuboid is 5 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  6. 6.What is 9³? =
  7. 7.Use (a + b)(a − b) = a² − b² to find 109 × 91.
  8. 8.The sum of two consecutive whole numbers is 19. What is the smallest of them?
  9. 9.A trapezium has parallel sides of 16 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  10. 10.Write (3⁹)⁹ as a single power 3ⁿ. What is n?
  11. 11.Find the compound interest on ₹40400 at 15% per year for 2 years, compounded every year (in ₹).
  12. 12.A father is 21 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?
  13. 13.Find the value of x² − y² when x = 14 and y = 3.
  14. 14.Write 7.1 × 10⁻³ as a decimal. =
  15. 15.What is 63²? =
  16. 16.Use (a + b)² = a² + 2ab + b² to find 59².
  17. 17.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  18. 18.Solve: 5(y − 1) = y + 15. What is y?
  19. 19.If a + b = 3 and ab = 2, what is a² + b²?
  20. 20.What is the value of (1/8)⁻¹? =
  21. 21.Write (7⁴)⁴ as a single power 7ⁿ. What is n?
  22. 22.What is ∛1331? =
  23. 23.What is the smallest whole number by which 275 must be multiplied to get a perfect square?
  24. 24.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What amount will ₹60000 grow to in 2 years at 15% per year compound interest (in ₹)?
  26. 26.What is the difference between the compound interest and the simple interest on ₹22500 at 12% per year for 2 years (in ₹)?
  27. 27.A square garden has an area of 3364 square m. How long is each side (in m)?
  28. 28.Solve: 9p + 18 = 7p + 34. What is p?
  29. 29.Write 8.4 × 10⁻⁴ as a decimal. =
  30. 30.What is the smallest whole number by which 48 must be divided to get a perfect square?
  31. 31.The length of a rectangle is 13 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  32. 32.What is √6561? =
  33. 33.How many whole numbers lie between 13² and 14²?
  34. 34.What is the difference between the compound interest and the simple interest on ₹16000 at 5% per year for 2 years (in ₹)?
  35. 35.Find the compound interest on ₹43000 at 20% per year for 3 years, compounded every year (in ₹).
  36. 36.Which of these is a perfect cube? (a) 1798 (b) 2109 (c) 1728
  37. 37.Which of these is a perfect cube? (a) 93 (b) 64 (c) 73
  38. 38.The diagonals of a rhombus are 16 cm and 30 cm. What is its area (in square cm)?
  39. 39.What is the value of 3¹⁰? =
  40. 40.A trapezium has an area of 300 square cm. Its parallel sides are 25 cm and 15 cm. What is the distance between them (in cm)?

Answer key

  1. 7
  2. 57
  3. 5
  4. 27
  5. 210
  6. 729
  7. 9919
  8. 9
  9. 185
  10. 81
  11. 13029
  12. 6
  13. 187
  14. 0.0071
  15. 3969
  16. 3481
  17. 19
  18. 5
  19. 5
  20. 8
  21. 16
  22. 11
  23. 11
  24. 27
  25. 79350
  26. 324
  27. 58
  28. 8
  29. 0.00084
  30. 3
  31. 5
  32. 81
  33. 26
  34. 40
  35. 31304
  36. 1728
  37. 64
  38. 240
  39. 59049
  40. 15

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