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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 978 · 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 big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.A square garden has an area of 2304 square m. How long is each side (in m)?
  3. 3.A trapezium has an area of 160 square cm. Its parallel sides are 17 cm and 23 cm. What is the distance between them (in cm)?
  4. 4.How many whole numbers lie between 42² and 43²?
  5. 5.A scooter is worth ₹27200. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  6. 6.Write (5⁵)⁷ as a single power 5ⁿ. What is n?
  7. 7.What is the value of 2⁴? =
  8. 8.Solve: x/3 + x/5 = 8. What is x?
  9. 9.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  10. 10.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  11. 11.Solve: p/3 + p/2 = 40. What is p?
  12. 12.A town has 14400 people. The population grows by 15% every year. What will the population be after 1 year?
  13. 13.Use (a + b)² = a² + 2ab + b² to find 66².
  14. 14.A trapezium has an area of 387 square cm. Its parallel sides are 20 cm and 23 cm. What is the distance between them (in cm)?
  15. 15.What is the value of (4/9)⁻¹? =
  16. 16.Solve: 6(t − 2) = t + 18. What is t?
  17. 17.The sum of two consecutive whole numbers is 95. What is the largest of them?
  18. 18.What is the value of 7⁵? =
  19. 19.Solve: n/4 + n/3 = 21. What is n?
  20. 20.What is √2025? =
  21. 21.A trapezium has an area of 234 square cm. Its parallel sides are 25 cm and 14 cm. What is the distance between them (in cm)?
  22. 22.Write 7,10,00,000 in standard form as 7.1 × 10ⁿ. What is n?
  23. 23.What is the difference between the compound interest and the simple interest on ₹56000 at 25% per year for 2 years (in ₹)?
  24. 24.Solve: n/3 + n/5 = 8. What is n?
  25. 25.Find the compound interest on ₹26200 at 8% per year for 1 year, compounded every year (in ₹).
  26. 26.Use (a + b)(a − b) = a² − b² to find 59 × 41.
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.A trapezium has an area of 162 square cm. Its parallel sides are 13 cm and 23 cm. What is the distance between them (in cm)?
  29. 29.What is the value of 3¹ × 3⁻¹? =
  30. 30.Find the compound interest on ₹39500 at 20% per year for 2 years, compounded every year (in ₹).
  31. 31.Write (8⁹)⁷ as a single power 8ⁿ. What is n?
  32. 32.What is the value of 10⁶ × 10⁻⁶? =
  33. 33.What is the value of 3⁻³ (as a fraction)? =
  34. 34.Which of these is a perfect square? (a) 189 (b) 169 (c) 172
  35. 35.Use (a + b)² = a² + 2ab + b² to find 34².
  36. 36.Solve: 6(t − 3) = 2t + 26. What is t?
  37. 37.A town has 33800 people. The population grows by 15% every year. What will the population be after 1 year?
  38. 38.A square garden has an area of 3481 square m. How long is each side (in m)?
  39. 39.Write 8¹¹ ÷ 8⁵ as a single power 8ⁿ. What is n?
  40. 40.What is the value of 10¹ × 10⁻²? =

Answer key

  1. 8
  2. 48
  3. 8
  4. 84
  5. 21760
  6. 35
  7. 16
  8. 15
  9. 17
  10. 11
  11. 48
  12. 16560
  13. 4356
  14. 18
  15. 9/4
  16. 6
  17. 48
  18. 16807
  19. 36
  20. 45
  21. 12
  22. 7
  23. 3500
  24. 15
  25. 2096
  26. 2419
  27. 8
  28. 9
  29. 1
  30. 17380
  31. 63
  32. 1
  33. 1/27
  34. 169
  35. 1156
  36. 11
  37. 38870
  38. 59
  39. 6
  40. 1/10

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