Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 633 · 40 sums

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.

1. 1.Use (a + b)² = a² + 2ab + b² to find 14².
2. 2.A town has 21400 people. The population grows by 20% every year. What will the population be after 1 year?
3. 3.A scooter is worth ₹47500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
4. 4.What is the value of 2⁵? =
5. 5.What is √144? =
6. 6.A trapezium has an area of 228 square cm. Its parallel sides are 17 cm and 7 cm. What is the distance between them (in cm)?
7. 7.What is √8836? =
8. 8.The diagonals of a rhombus are 18 cm and 29 cm. What is its area (in square cm)?
9. 9.Write (7⁷)⁷ as a single power 7ⁿ. What is n?
10. 10.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
11. 11.Which of these is a perfect cube? (a) 3805 (b) 3375 (c) 3634
12. 12.What is 73²? =
13. 13.How many whole numbers lie between 40² and 41²?
14. 14.A father is 11 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
15. 15.Solve: y/2 + y/5 = 28. What is y?
16. 16.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
17. 17.Which of these is a perfect cube? (a) 416 (b) 343 (c) 359
18. 18.Find the compound interest on ₹51200 at 5% per year for 1 year, compounded every year (in ₹).
19. 19.How many whole numbers lie between 34² and 35²?
20. 20.Solve: 3(x − 4) = 2x + 13. What is x?
21. 21.Use (a + b)² = a² + 2ab + b² to find 65².
22. 22.Which of these is a perfect square? (a) 241 (b) 225 (c) 231
23. 23.Find the compound interest on ₹40800 at 15% per year for 2 years, compounded every year (in ₹).
24. 24.What is the value of 2¹⁶? =
25. 25.Write 2,50,00,000 in standard form as 2.5 × 10ⁿ. What is n?
26. 26.Solve: 4(n − 1) = 3n + 9. What is n?
27. 27.Use (a + b)(a − b) = a² − b² to find 29 × 11.
28. 28.A scooter is worth ₹40000. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
29. 29.A father is 30 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
30. 30.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
31. 31.Solve: 3(t − 1) = t + 9. What is t?
32. 32.What is 92²? =
33. 33.The sum of two consecutive whole numbers is 33. What is the largest of them?
34. 34.A room is 6 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
35. 35.Solve: 4y + 4 = 3y + 16. What is y?
36. 36.Find the compound interest on ₹8700 at 20% per year for 1 year, compounded every year (in ₹).
37. 37.A room is 3 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
38. 38.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
39. 39.A cuboid is 13 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
40. 40.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).

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