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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 532 · 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 36²? =
  2. 2.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  3. 3.Solve: 3(m − 5) = m + 21. What is m?
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.Solve: 3(p − 5) = 2p + 4. What is p?
  6. 6.If a + b = 15 and ab = 56, what is a² + b²?
  7. 7.What is 61²? =
  8. 8.Solve: 3p + 15 = 2p + 16. What is p?
  9. 9.A room is 12 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  11. 11.What is 79²? =
  12. 12.A town has 26700 people. The population grows by 5% every year. What will the population be after 1 year?
  13. 13.What amount will ₹9200 grow to in 1 year at 25% per year compound interest (in ₹)?
  14. 14.Write 1.3 × 10⁻¹ as a decimal. =
  15. 15.How many whole numbers lie between 25² and 26²?
  16. 16.What is the value of 4⁻³ (as a fraction)? =
  17. 17.What amount will ₹9000 grow to in 1 year at 25% per year compound interest (in ₹)?
  18. 18.What is √1156? =
  19. 19.Solve: 3(y − 3) = y + 3. What is y?
  20. 20.What is ∛10648? =
  21. 21.Find the compound interest on ₹14300 at 12% per year for 1 year, compounded every year (in ₹).
  22. 22.What is ∛27? =
  23. 23.Which of these is a perfect square? (a) 625 (b) 672 (c) 657
  24. 24.Which of these is a perfect cube? (a) 158 (b) 125 (c) 145
  25. 25.Which of these is a perfect square? (a) 480 (b) 441 (c) 461
  26. 26.Write 13,000 in standard form as 1.3 × 10ⁿ. What is n?
  27. 27.What is ∛512? =
  28. 28.The sum of three consecutive whole numbers is 84. What is the smallest of them?
  29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  30. 30.The length of a rectangle is 11 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  31. 31.Which of these is a perfect square? (a) 169 (b) 182 (c) 192
  32. 32.Solve: 5m + 8 = 2m + 11. What is m?
  33. 33.What is ∛2744? =
  34. 34.A trapezium has an area of 98 square cm. Its parallel sides are 28 cm and 21 cm. What is the distance between them (in cm)?
  35. 35.Which of these is a perfect cube? (a) 1379 (b) 1331 (c) 1605
  36. 36.A trapezium has parallel sides of 9 cm and 20 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  37. 37.What is ∛729? =
  38. 38.Write 3,700 in standard form as 3.7 × 10ⁿ. What is n?
  39. 39.Which of these is a perfect cube? (a) 308 (b) 216 (c) 312
  40. 40.If a + b = 4 and ab = 3, what is a² + b²?

Answer key

  1. 1296
  2. 10
  3. 18
  4. 216
  5. 19
  6. 113
  7. 3721
  8. 1
  9. 102
  10. 49
  11. 6241
  12. 28035
  13. 11500
  14. 0.13
  15. 50
  16. 1/64
  17. 11250
  18. 34
  19. 6
  20. 22
  21. 1716
  22. 3
  23. 625
  24. 125
  25. 441
  26. 4
  27. 8
  28. 27
  29. 9
  30. 18
  31. 169
  32. 1
  33. 14
  34. 4
  35. 1331
  36. 261
  37. 9
  38. 3
  39. 216
  40. 10

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