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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 765 · 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.If a + b = 5 and ab = 4, what is a² + b²?
  2. 2.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  3. 3.A square garden has an area of 1089 square m. How long is each side (in m)?
  4. 4.Which of these is a perfect square? (a) 1445 (b) 1500 (c) 1444
  5. 5.A cuboid is 8 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  6. 6.What is the smallest whole number by which 275 must be multiplied to get a perfect square?
  7. 7.Use (a + b)² = a² + 2ab + b² to find 64².
  8. 8.Solve: 6(t − 4) = 2t + 36. What is t?
  9. 9.What is √6241? =
  10. 10.The diagonals of a rhombus are 6 cm and 13 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  12. 12.Use (a + b)(a − b) = a² − b² to find 62 × 58.
  13. 13.Use a² − b² = (a + b)(a − b) to find 35² − 11².
  14. 14.Write 7⁸ ÷ 7² as a single power 7ⁿ. What is n?
  15. 15.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  16. 16.What is the value of 4³? =
  17. 17.How many whole numbers lie between 6² and 7²?
  18. 18.A trapezium has an area of 78 square cm. Its parallel sides are 23 cm and 3 cm. What is the distance between them (in cm)?
  19. 19.What is the value of (2/7)⁻¹? =
  20. 20.Solve: 6p + 3 = p + 78. What is p?
  21. 21.If a − b = 2 and ab = 3, what is a² + b²?
  22. 22.Write 4.8 × 10⁻¹ as a decimal. =
  23. 23.Write 8⁹ × 8³ as a single power 8ⁿ. What is n?
  24. 24.If a + b = 18 and ab = 77, what is a² + b²?
  25. 25.The length of a rectangle is 14 cm more than its width. Its perimeter is 144 cm. What is its width (in cm)?
  26. 26.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  27. 27.8.6 × 10³ =
  28. 28.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  29. 29.What is 9³? =
  30. 30.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
  31. 31.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  32. 32.What is the value of (1/2)⁻¹? =
  33. 33.A room is 10 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
  34. 34.What is 15³? =
  35. 35.What is the value of 3³ × 3⁻⁴? =
  36. 36.The length of a rectangle is 9 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  37. 37.The length of a rectangle is 13 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  38. 38.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  39. 39.What amount will ₹31800 grow to in 1 year at 25% per year compound interest (in ₹)?
  40. 40.What is 25²? =

Answer key

  1. 17
  2. 25
  3. 33
  4. 1444
  5. 136
  6. 11
  7. 4096
  8. 15
  9. 79
  10. 39
  11. 10
  12. 3596
  13. 1104
  14. 6
  15. 96
  16. 64
  17. 12
  18. 6
  19. 7/2
  20. 15
  21. 10
  22. 0.48
  23. 12
  24. 170
  25. 29
  26. 3
  27. 8600
  28. 784
  29. 729
  30. 4
  31. 20
  32. 2
  33. 78
  34. 3375
  35. 1/3
  36. 17
  37. 23
  38. 7
  39. 39750
  40. 625

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