Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 51 · 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 √961? =
2. 2.What is the value of 4²? =
3. 3.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
4. 4.Write 2¹⁰ ÷ 2⁵ as a single power 2ⁿ. What is n?
5. 5.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
6. 6.Use (a + b)(a − b) = a² − b² to find 35 × 25.
7. 7.What is the value of 7⁻¹ (as a fraction)? =
8. 8.Solve: 6m + 14 = 3m + 41. What is m?
9. 9.If a + b = 16 and ab = 60, what is a² + b²?
10. 10.Solve: 3x + 12 = 2x + 14. What is x?
11. 11.A father is 4 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
12. 12.Use (a − b)² = a² − 2ab + b² to find 73².
13. 13.Solve: 4p + 1 = 3p + 4. What is p?
14. 14.What amount will ₹27700 grow to in 1 year at 5% per year compound interest (in ₹)?
15. 15.A town has 16000 people. The population grows by 15% every year. What will the population be after 2 years?
16. 16.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
17. 17.Use (a − b)² = a² − 2ab + b² to find 97².
18. 18.Solve: x/5 + x/6 = 11. What is x?
19. 19.The length of a rectangle is 11 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
20. 20.A room is 4 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
21. 21.What amount will ₹60000 grow to in 2 years at 4% per year compound interest (in ₹)?
22. 22.What is the difference between the compound interest and the simple interest on ₹19600 at 5% per year for 2 years (in ₹)?
23. 23.Use (a − b)² = a² − 2ab + b² to find 98².
24. 24.Use (a + b)(a − b) = a² − b² to find 23 × 17.
25. 25.What is 46²? =
26. 26.If a − b = 3 and ab = 4, what is a² + b²?
27. 27.Use (a + b)² = a² + 2ab + b² to find 18².
28. 28.Write (4⁶)² as a single power 4ⁿ. What is n?
29. 29.What is the difference between the compound interest and the simple interest on ₹24400 at 5% per year for 2 years (in ₹)?
30. 30.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
31. 31.Find the compound interest on ₹6300 at 10% per year for 2 years, compounded every year (in ₹).
32. 32.What is the difference between the compound interest and the simple interest on ₹60000 at 4% per year for 2 years (in ₹)?
33. 33.Solve: 9x + 16 = 4x + 76. What is x?
34. 34.Write (6⁷)⁹ as a single power 6ⁿ. What is n?
35. 35.What is the value of 3¹ × 3⁻¹? =
36. 36.Use (a − b)² = a² − 2ab + b² to find 13².
37. 37.A cuboid is 5 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
38. 38.Use a² − b² = (a + b)(a − b) to find 77² − 3².
39. 39.Solve: x/4 + x/3 = 56. What is x?
40. 40.The sum of four consecutive whole numbers is 202. What is the largest of them?

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