Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 103 · 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 88².
2. 2.Solve: 5(y − 2) = 4y + 11. What is y?
3. 3.Write (5²)⁷ as a single power 5ⁿ. What is n?
4. 4.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
5. 5.Which of these is a perfect cube? (a) 486 (b) 343 (c) 484
6. 6.Use (a − b)² = a² − 2ab + b² to find 48².
7. 7.Solve: 6(y − 4) = 2y + 12. What is y?
8. 8.Find the value of x² − 2xy + y² when x = 3 and y = 1.
9. 9.A room is 12 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.Write 5.3 × 10⁻¹ as a decimal. =
11. 11.Use (a − b)² = a² − 2ab + b² to find 26².
12. 12.What amount will ₹14800 grow to in 2 years at 25% per year compound interest (in ₹)?
13. 13.If a − b = 3 and ab = 10, what is a² + b²?
14. 14.What is ∛3375? =
15. 15.Use (a + b)² = a² + 2ab + b² to find 83².
16. 16.Write 3.5 × 10⁻² as a decimal. =
17. 17.Use (a − b)² = a² − 2ab + b² to find 38².
18. 18.What is 5³? =
19. 19.Use (a + b)(a − b) = a² − b² to find 65 × 55.
20. 20.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
21. 21.What is the difference between the compound interest and the simple interest on ₹32000 at 10% per year for 2 years (in ₹)?
22. 22.Solve: 6p + 1 = 2p + 33. What is p?
23. 23.Use (a + b)² = a² + 2ab + b² to find 24².
24. 24.What is the smallest whole number by which 27 must be divided to get a perfect square?
25. 25.Use (a − b)² = a² − 2ab + b² to find 43².
26. 26.A cuboid is 13 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
27. 27.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
28. 28.What is the difference between the compound interest and the simple interest on ₹25600 at 5% per year for 2 years (in ₹)?
29. 29.Which of these is a perfect cube? (a) 216 (b) 219 (c) 251
30. 30.What is the value of 10⁵? =
31. 31.Use (a + b)² = a² + 2ab + b² to find 28².
32. 32.What is 21²? =
33. 33.Write (2⁶)⁴ as a single power 2ⁿ. What is n?
34. 34.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
35. 35.A cuboid is 9 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
36. 36.The diagonals of a rhombus are 28 cm and 11 cm. What is its area (in square cm)?
37. 37.What is √6241? =
38. 38.What is the value of (8/9)⁻²? =
39. 39.How many whole numbers lie between 29² and 30²?
40. 40.What is ∛6859? =

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