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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 147 · 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 value of 8³? =
  2. 2.What amount will ₹3400 grow to in 1 year at 25% per year compound interest (in ₹)?
  3. 3.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  4. 4.Write 2⁹ ÷ 2⁶ as a single power 2ⁿ. What is n?
  5. 5.What is the difference between the compound interest and the simple interest on ₹37500 at 4% per year for 2 years (in ₹)?
  6. 6.Write (3⁶)⁴ as a single power 3ⁿ. What is n?
  7. 7.Find the value of x² − y² when x = 4 and y = 1.
  8. 8.What is √1369? =
  9. 9.Solve: 4m + 19 = m + 25. What is m?
  10. 10.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
  11. 11.A trapezium has parallel sides of 25 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  12. 12.Use a² − b² = (a + b)(a − b) to find 21² − 18².
  13. 13.A cuboid is 9 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  14. 14.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
  15. 15.Find the value of x² − 2xy + y² when x = 15 and y = 8.
  16. 16.Which of these is a perfect cube? (a) 134 (b) 130 (c) 125
  17. 17.Write 9⁸ × 9³ as a single power 9ⁿ. What is n?
  18. 18.If a + b = 13 and ab = 42, what is a² + b²?
  19. 19.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.What is the value of 9²? =
  21. 21.What is the smallest whole number by which 147 must be divided to get a perfect square?
  22. 22.Use a² − b² = (a + b)(a − b) to find 59² − 35².
  23. 23.Write 6² × 6⁴ as a single power 6ⁿ. What is n?
  24. 24.Use a² − b² = (a + b)(a − b) to find 24² − 4².
  25. 25.A trapezium has an area of 225 square cm. Its parallel sides are 15 cm and 10 cm. What is the distance between them (in cm)?
  26. 26.A cuboid is 9 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  27. 27.Find the compound interest on ₹36000 at 20% per year for 2 years, compounded every year (in ₹).
  28. 28.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  30. 30.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  31. 31.What is the value of 7⁻³ (as a fraction)? =
  32. 32.Which of these is a perfect square? (a) 207 (b) 196 (c) 198
  33. 33.Use (a − b)² = a² − 2ab + b² to find 16².
  34. 34.What is 7³? =
  35. 35.Write 7.1 × 10⁻¹ as a decimal. =
  36. 36.Solve: y/2 + y/5 = 56. What is y?
  37. 37.Solve: 5p + 8 = p + 16. What is p?
  38. 38.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 233 (b) 216 (c) 295
  40. 40.A father is 34 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?

Answer key

  1. 512
  2. 4250
  3. 7
  4. 3
  5. 60
  6. 24
  7. 15
  8. 37
  9. 2
  10. 484
  11. 220
  12. 117
  13. 168
  14. 24
  15. 49
  16. 125
  17. 11
  18. 85
  19. 125
  20. 81
  21. 3
  22. 2256
  23. 6
  24. 560
  25. 18
  26. 80
  27. 15840
  28. 20
  29. 9
  30. 384
  31. 1/343
  32. 196
  33. 256
  34. 343
  35. 0.71
  36. 80
  37. 2
  38. 4
  39. 216
  40. 10

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