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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 476 · 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.Solve: 3(t − 2) = t + 22. What is t?
  2. 2.What is √1089? =
  3. 3.What amount will ₹31700 grow to in 1 year at 12% per year compound interest (in ₹)?
  4. 4.A trapezium has an area of 42 square cm. Its parallel sides are 9 cm and 5 cm. What is the distance between them (in cm)?
  5. 5.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.Solve: 4p + 15 = p + 33. What is p?
  8. 8.Write 7⁴ × 7³ as a single power 7ⁿ. What is n?
  9. 9.A town has 16000 people. The population grows by 15% every year. What will the population be after 3 years?
  10. 10.If a − b = 6 and ab = 16, what is a² + b²?
  11. 11.Use (a − b)² = a² − 2ab + b² to find 13².
  12. 12.Which of these is a perfect cube? (a) 1728 (b) 1838 (c) 1822
  13. 13.What amount will ₹55000 grow to in 2 years at 12% per year compound interest (in ₹)?
  14. 14.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  15. 15.A room is 4 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  16. 16.Use (a − b)² = a² − 2ab + b² to find 24².
  17. 17.A trapezium has parallel sides of 19 cm and 13 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  18. 18.What is the value of 3⁵ × 3⁻²? =
  19. 19.What is ∛5832? =
  20. 20.A scooter is worth ₹56000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  21. 21.Solve: 3(y − 2) = 2y + 3. What is y?
  22. 22.The diagonals of a rhombus are 18 cm and 12 cm. What is its area (in square cm)?
  23. 23.A trapezium has an area of 135 square cm. Its parallel sides are 8 cm and 10 cm. What is the distance between them (in cm)?
  24. 24.What is the smallest whole number by which 240 must be divided to get a perfect square?
  25. 25.A father is 51 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  26. 26.What is the value of 2¹ × 2⁻⁴? =
  27. 27.7.4 × 10⁴ =
  28. 28.What is the value of 9⁻³ (as a fraction)? =
  29. 29.Solve: x/4 + x/6 = 15. What is x?
  30. 30.What is √9025? =
  31. 31.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
  34. 34.Write 6⁸ × 6² as a single power 6ⁿ. What is n?
  35. 35.What is ∛4096? =
  36. 36.A father is 16 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  37. 37.4.6 × 10⁴ =
  38. 38.The diagonals of a rhombus are 24 cm and 14 cm. What is its area (in square cm)?
  39. 39.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?

Answer key

  1. 14
  2. 33
  3. 35504
  4. 6
  5. 2904
  6. 216
  7. 6
  8. 7
  9. 24334
  10. 68
  11. 169
  12. 1728
  13. 68992
  14. 726
  15. 90
  16. 576
  17. 48
  18. 27
  19. 18
  20. 48013
  21. 9
  22. 108
  23. 15
  24. 15
  25. 9
  26. 1/8
  27. 74000
  28. 1/729
  29. 36
  30. 95
  31. 8
  32. 216
  33. 16
  34. 10
  35. 16
  36. 10
  37. 46000
  38. 168
  39. 64
  40. 12

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