Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 369 · 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 √7569? =
2. 2.What is √2809? =
3. 3.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
4. 4.Find the compound interest on ₹5000 at 4% per year for 2 years, compounded every year (in ₹).
5. 5.What is the value of (1/8)⁻¹? =
6. 6.Use (a − b)² = a² − 2ab + b² to find 78².
7. 7.Write (7⁵)⁶ as a single power 7ⁿ. What is n?
8. 8.Use (a − b)² = a² − 2ab + b² to find 59².
9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
10. 10.Write (2⁷)⁷ as a single power 2ⁿ. What is n?
11. 11.What amount will ₹53000 grow to in 3 years at 10% per year compound interest (in ₹)?
12. 12.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
13. 13.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
14. 14.Find the compound interest on ₹40000 at 5% per year for 3 years, compounded every year (in ₹).
15. 15.What is 27²? =
16. 16.Find the value of x² − 2xy + y² when x = 13 and y = 9.
17. 17.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
18. 18.What is ∛1000? =
19. 19.Use (a + b)² = a² + 2ab + b² to find 11².
20. 20.A town has 8000 people. The population grows by 5% every year. What will the population be after 3 years?
21. 21.What is √8281? =
22. 22.Write 4.5 × 10⁻² as a decimal. =
23. 23.What is the smallest whole number by which 325 must be divided to get a perfect square?
24. 24.What is the smallest whole number by which 56 must be divided to get a perfect cube?
25. 25.Solve: 3(x − 2) = x + 12. What is x?
26. 26.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
27. 27.Use (a − b)² = a² − 2ab + b² to find 98².
28. 28.What is 59²? =
29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
30. 30.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.Solve: x/6 + x/4 = 15. What is x?
32. 32.The diagonals of a rhombus are 6 cm and 8 cm. What is its area (in square cm)?
33. 33.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
34. 34.Solve: 6(p − 2) = 4p + 14. What is p?
35. 35.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
36. 36.What is ∛1331? =
37. 37.Use (a + b)² = a² + 2ab + b² to find 93².
38. 38.If a − b = 1 and ab = 2, what is a² + b²?
39. 39.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
40. 40.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?

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