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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 209 · 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 smallest whole number by which 320 must be multiplied to get a perfect square?
  2. 2.If a − b = 2 and ab = 15, what is a² + b²?
  3. 3.What is the value of 9⁻³ (as a fraction)? =
  4. 4.Which of these is a perfect cube? (a) 64 (b) 71 (c) 101
  5. 5.A trapezium has parallel sides of 25 cm and 2 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  6. 6.What is the value of 9⁵? =
  7. 7.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  8. 8.What is the difference between the compound interest and the simple interest on ₹57800 at 20% per year for 2 years (in ₹)?
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.Write (2⁹)³ as a single power 2ⁿ. What is n?
  11. 11.What is the difference between the compound interest and the simple interest on ₹55000 at 12% per year for 2 years (in ₹)?
  12. 12.A scooter is worth ₹16000. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  13. 13.A cuboid is 3 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  14. 14.A trapezium has an area of 180 square cm. Its parallel sides are 6 cm and 24 cm. What is the distance between them (in cm)?
  15. 15.What amount will ₹9600 grow to in 2 years at 5% per year compound interest (in ₹)?
  16. 16.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  17. 17.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  18. 18.If a − b = 3 and ab = 108, what is a² + b²?
  19. 19.A father is 16 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  20. 20.What is ∛2197? =
  21. 21.A square garden has an area of 1024 square m. How long is each side (in m)?
  22. 22.8.3 × 10² =
  23. 23.What is ∛64? =
  24. 24.Which of these is a perfect cube? (a) 27 (b) 51 (c) 32
  25. 25.A trapezium has parallel sides of 5 cm and 11 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  26. 26.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 250 square cm. Its parallel sides are 19 cm and 6 cm. What is the distance between them (in cm)?
  28. 28.A cuboid is 4 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  29. 29.Use (a + b)² = a² + 2ab + b² to find 52².
  30. 30.Which of these is a perfect cube? (a) 227 (b) 216 (c) 261
  31. 31.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  32. 32.What is the value of 2¹⁵? =
  33. 33.How many whole numbers lie between 36² and 37²?
  34. 34.The sum of four consecutive whole numbers is 114. What is the smallest of them?
  35. 35.Write 4.3 × 10⁻¹ as a decimal. =
  36. 36.What is 15³? =
  37. 37.If a − b = 5 and ab = 50, what is a² + b²?
  38. 38.A room is 5 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.Write (7⁹)⁹ as a single power 7ⁿ. What is n?
  40. 40.Use a² − b² = (a + b)(a − b) to find 91² − 13².

Answer key

  1. 5
  2. 34
  3. 1/729
  4. 64
  5. 81
  6. 59049
  7. 2
  8. 2312
  9. 8
  10. 27
  11. 792
  12. 14440
  13. 132
  14. 12
  15. 10584
  16. 2400
  17. 100
  18. 225
  19. 6
  20. 13
  21. 32
  22. 830
  23. 4
  24. 27
  25. 144
  26. 54
  27. 20
  28. 208
  29. 2704
  30. 216
  31. 1734
  32. 32768
  33. 72
  34. 27
  35. 0.43
  36. 3375
  37. 125
  38. 90
  39. 81
  40. 8112

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