Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 107 · 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.A square garden has an area of 256 square m. How long is each side (in m)?
2. 2.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
3. 3.A room is 4 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
4. 4.What is the smallest whole number by which 96 must be multiplied to get a perfect square?
5. 5.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
6. 6.A scooter is worth ₹7900. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
7. 7.Find the value of x² − 2xy + y² when x = 8 and y = 7.
8. 8.Use a² − b² = (a + b)(a − b) to find 99² − 33².
9. 9.A father is 26 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
10. 10.Find the value of x² + 2xy + y² when x = 14 and y = 4.
11. 11.Find the compound interest on ₹2500 at 12% per year for 2 years, compounded every year (in ₹).
12. 12.What is 13³? =
13. 13.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
14. 14.What is 14²? =
15. 15.3.6 × 10⁴ =
16. 16.What is √576? =
17. 17.Find the compound interest on ₹25000 at 10% per year for 3 years, compounded every year (in ₹).
18. 18.What is the smallest whole number by which 320 must be divided to get a perfect cube?
19. 19.A cuboid is 10 cm long, 9 cm wide and 7 cm high. What is its total surface area (in square cm)?
20. 20.What is 84²? =
21. 21.Use a² − b² = (a + b)(a − b) to find 78² − 61².
22. 22.A trapezium has parallel sides of 14 cm and 10 cm, and the distance between them is 3 cm. What is its area (in square cm)?
23. 23.Use (a + b)(a − b) = a² − b² to find 37 × 23.
24. 24.Which of these is a perfect cube? (a) 3951 (b) 3375 (c) 3822
25. 25.What is 18²? =
26. 26.What is 4³? =
27. 27.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
28. 28.What is 16³? =
29. 29.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
30. 30.Find the value of x² − y² when x = 6 and y = 2.
31. 31.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
32. 32.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
33. 33.What is the smallest whole number by which 12 must be divided to get a perfect square?
34. 34.Use (a + b)² = a² + 2ab + b² to find 87².
35. 35.A father is 16 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
36. 36.What is ∛125? =
37. 37.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
38. 38.Solve: y/4 + y/3 = 49. What is y?
39. 39.If a − b = 1 and ab = 12, what is a² + b²?
40. 40.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?

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