Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 35 · 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.Which of these is a perfect cube? (a) 2197 (b) 2478 (c) 2548
2. 2.What is the smallest whole number by which 98 must be divided to get a perfect square?
3. 3.What is √2916? =
4. 4.If a − b = 3 and ab = 54, what is a² + b²?
5. 5.What is the smallest whole number by which 4 must be divided to get a perfect cube?
6. 6.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
7. 7.What is 16³? =
8. 8.Write 4.6 × 10⁻³ as a decimal. =
9. 9.Use (a + b)² = a² + 2ab + b² to find 46².
10. 10.Solve: n/6 + n/3 = 3. What is n?
11. 11.Use (a − b)² = a² − 2ab + b² to find 58².
12. 12.Which of these is a perfect square? (a) 932 (b) 900 (c) 918
13. 13.What is ∛15625? =
14. 14.Solve: t/3 + t/2 = 15. What is t?
15. 15.A square garden has an area of 729 square m. How long is each side (in m)?
16. 16.Solve: 9t + 1 = 5t + 33. What is t?
17. 17.Find the compound interest on ₹9700 at 8% per year for 1 year, compounded every year (in ₹).
18. 18.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
19. 19.Use (a + b)(a − b) = a² − b² to find 83 × 77.
20. 20.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
21. 21.What is 12³? =
22. 22.Use (a − b)² = a² − 2ab + b² to find 78².
23. 23.What is the value of 6⁴? =
24. 24.A town has 35800 people. The population grows by 25% every year. What will the population be after 1 year?
25. 25.Write 81,00,000 in standard form as 8.1 × 10ⁿ. What is n?
26. 26.The sum of two consecutive whole numbers is 39. What is the largest of them?
27. 27.Use (a − b)² = a² − 2ab + b² to find 95².
28. 28.What is the value of 3⁵ × 3⁻¹? =
29. 29.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
30. 30.What is the smallest whole number by which 500 must be divided to get a perfect cube?
31. 31.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
32. 32.Find the value of x² − y² when x = 12 and y = 11.
33. 33.Solve: 3(x − 1) = 2x + 13. What is x?
34. 34.What is 30²? =
35. 35.What is the value of 4⁴? =
36. 36.Use (a + b)² = a² + 2ab + b² to find 37².
37. 37.What is √7056? =
38. 38.Solve: p/3 + p/2 = 5. What is p?
39. 39.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
40. 40.The length of a rectangle is 2 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?

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