Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 132 · 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 8 must be multiplied to get a perfect square?
2. 2.What is the value of (4/9)⁻¹? =
3. 3.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
4. 4.Find the compound interest on ₹38700 at 8% per year for 1 year, compounded every year (in ₹).
5. 5.What is the smallest whole number by which 810 must be multiplied to get a perfect square?
6. 6.What is the value of 3² × 3⁻¹? =
7. 7.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
8. 8.What is the value of 10⁻² (as a fraction)? =
9. 9.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
10. 10.A cuboid is 13 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
11. 11.What is the value of 9³? =
12. 12.Use (a + b)(a − b) = a² − b² to find 25 × 15.
13. 13.What is the value of (2/5)⁻²? =
14. 14.The diagonals of a rhombus are 24 cm and 25 cm. What is its area (in square cm)?
15. 15.What is √441? =
16. 16.Find the compound interest on ₹30000 at 4% per year for 2 years, compounded every year (in ₹).
17. 17.A square garden has an area of 2601 square m. How long is each side (in m)?
18. 18.What is 91²? =
19. 19.If a + b = 4 and ab = 3, what is a² + b²?
20. 20.Write 2¹¹ ÷ 2⁹ as a single power 2ⁿ. What is n?
21. 21.What amount will ₹35500 grow to in 2 years at 10% per year compound interest (in ₹)?
22. 22.A square garden has an area of 1369 square m. How long is each side (in m)?
23. 23.Find the value of x² − y² when x = 3 and y = 2.
24. 24.The length of a rectangle is 4 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
25. 25.Write 4.6 × 10⁻¹ as a decimal. =
26. 26.What is 5³? =
27. 27.Use a² − b² = (a + b)(a − b) to find 83² − 46².
28. 28.A room is 5 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
29. 29.Write 9.1 × 10⁻⁴ as a decimal. =
30. 30.The sum of three consecutive whole numbers is 30. What is the largest of them?
31. 31.What is the smallest whole number by which 500 must be divided to get a perfect cube?
32. 32.Find the value of x² − y² when x = 14 and y = 13.
33. 33.What is 30²? =
34. 34.A square garden has an area of 1296 square m. How long is each side (in m)?
35. 35.Solve: 5x + 16 = x + 76. What is x?
36. 36.Use (a + b)(a − b) = a² − b² to find 51 × 49.
37. 37.The sum of four consecutive whole numbers is 58. What is the smallest of them?
38. 38.Use (a − b)² = a² − 2ab + b² to find 85².
39. 39.What is the value of 3⁶ × 3⁻¹? =
40. 40.Write 6,70,000 in standard form as 6.7 × 10ⁿ. What is n?

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