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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 157 · 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 sum of two consecutive whole numbers is 57. What is the smallest of them?
  2. 2.Write 2⁸ × 2⁹ as a single power 2ⁿ. What is n?
  3. 3.A trapezium has an area of 47 square cm. Its parallel sides are 26 cm and 21 cm. What is the distance between them (in cm)?
  4. 4.What is 37²? =
  5. 5.The sum of three consecutive whole numbers is 99. What is the smallest of them?
  6. 6.What is the value of 7³? =
  7. 7.6.5 × 10⁵ =
  8. 8.What is ∛512? =
  9. 9.If a + b = 6 and ab = 5, what is a² + b²?
  10. 10.A town has 9400 people. The population grows by 5% every year. What will the population be after 1 year?
  11. 11.What is the value of 3⁹? =
  12. 12.A trapezium has parallel sides of 20 cm and 28 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  13. 13.Use (a − b)² = a² − 2ab + b² to find 78².
  14. 14.A town has 8900 people. The population grows by 4% every year. What will the population be after 1 year?
  15. 15.Which of these is a perfect cube? (a) 323 (b) 318 (c) 216
  16. 16.What is 77²? =
  17. 17.Solve: 3(p − 4) = 2p + 4. What is p?
  18. 18.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
  19. 19.Use (a + b)(a − b) = a² − b² to find 27 × 13.
  20. 20.A square garden has an area of 1521 square m. How long is each side (in m)?
  21. 21.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 88 (b) 110 (c) 64
  23. 23.Use a² − b² = (a + b)(a − b) to find 82² − 48².
  24. 24.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  25. 25.A cuboid is 4 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  26. 26.What is the value of (1/7)⁻¹? =
  27. 27.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  28. 28.The diagonals of a rhombus are 24 cm and 4 cm. What is its area (in square cm)?
  29. 29.What is the difference between the compound interest and the simple interest on ₹37100 at 20% per year for 2 years (in ₹)?
  30. 30.What amount will ₹12300 grow to in 1 year at 10% per year compound interest (in ₹)?
  31. 31.What is the value of 10³? =
  32. 32.A trapezium has an area of 66 square cm. Its parallel sides are 7 cm and 4 cm. What is the distance between them (in cm)?
  33. 33.What is 45²? =
  34. 34.What is the difference between the compound interest and the simple interest on ₹45200 at 25% per year for 2 years (in ₹)?
  35. 35.What is the smallest whole number by which 162 must be divided to get a perfect square?
  36. 36.Use (a + b)(a − b) = a² − b² to find 106 × 94.
  37. 37.If a + b = 12 and ab = 32, what is a² + b²?
  38. 38.Solve: 9t + 18 = 5t + 46. What is t?
  39. 39.Use (a + b)(a − b) = a² − b² to find 35 × 25.
  40. 40.What is 25²? =

Answer key

  1. 28
  2. 17
  3. 2
  4. 1369
  5. 32
  6. 343
  7. 650000
  8. 8
  9. 26
  10. 9870
  11. 19683
  12. 432
  13. 6084
  14. 9256
  15. 216
  16. 5929
  17. 16
  18. 361
  19. 351
  20. 39
  21. 4
  22. 64
  23. 4420
  24. 5
  25. 64
  26. 7
  27. 3
  28. 48
  29. 1484
  30. 13530
  31. 1000
  32. 12
  33. 2025
  34. 2825
  35. 2
  36. 9964
  37. 80
  38. 7
  39. 875
  40. 625

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