Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 864 · 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.What is the smallest whole number by which 108 must be multiplied to get a perfect square?
2. 2.What is the smallest whole number by which 208 must be divided to get a perfect square?
3. 3.A scooter is worth ₹49500. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
4. 4.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
5. 5.A town has 16600 people. The population grows by 5% every year. What will the population be after 1 year?
6. 6.A trapezium has parallel sides of 27 cm and 30 cm, and the distance between them is 4 cm. What is its area (in square cm)?
7. 7.A trapezium has parallel sides of 20 cm and 24 cm, and the distance between them is 16 cm. What is its area (in square cm)?
8. 8.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
9. 9.Use (a + b)² = a² + 2ab + b² to find 69².
10. 10.Solve: 4m + 1 = m + 10. What is m?
11. 11.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
12. 12.What is √529? =
13. 13.What is 64²? =
14. 14.What is ∛3375? =
15. 15.Write 4⁴ × 4² as a single power 4ⁿ. What is n?
16. 16.What amount will ₹33600 grow to in 1 year at 5% per year compound interest (in ₹)?
17. 17.A scooter is worth ₹10400. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
18. 18.What is √5929? =
19. 19.Use (a − b)² = a² − 2ab + b² to find 36².
20. 20.Which of these is a perfect cube? (a) 2744 (b) 3162 (c) 2845
21. 21.What is the value of 5²? =
22. 22.How many whole numbers lie between 48² and 49²?
23. 23.Find the compound interest on ₹18400 at 20% per year for 2 years, compounded every year (in ₹).
24. 24.Solve: 3(x − 4) = 2x + 12. What is x?
25. 25.The sum of four consecutive whole numbers is 238. What is the smallest of them?
26. 26.What is the value of 3⁵ × 3⁻²? =
27. 27.Write 9² × 9² as a single power 9ⁿ. What is n?
28. 28.A town has 34500 people. The population grows by 10% every year. What will the population be after 1 year?
29. 29.Use (a + b)² = a² + 2ab + b² to find 36².
30. 30.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
31. 31.A room is 12 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.What is the value of 8⁵? =
33. 33.A trapezium has parallel sides of 14 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?
34. 34.A father is 45 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
35. 35.What is the value of 4⁻³ (as a fraction)? =
36. 36.Find the compound interest on ₹34400 at 25% per year for 2 years, compounded every year (in ₹).
37. 37.A town has 20800 people. The population grows by 25% every year. What will the population be after 2 years?
38. 38.What is the value of 4⁶? =
39. 39.What is the value of 2²? =
40. 40.Find the value of x² − 2xy + y² when x = 4 and y = 1.

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