Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 137 · 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.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
2. 2.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
3. 3.The length of a rectangle is 13 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
4. 4.What is the value of 2⁵ × 2⁻⁴? =
5. 5.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
6. 6.Find the value of x² + 2xy + y² when x = 9 and y = 5.
7. 7.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
8. 8.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
9. 9.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
10. 10.Solve: 5(x − 4) = 3x + 4. What is x?
11. 11.Use (a + b)(a − b) = a² − b² to find 66 × 54.
12. 12.A square garden has an area of 784 square m. How long is each side (in m)?
13. 13.What is √841? =
14. 14.A square garden has an area of 49 square m. How long is each side (in m)?
15. 15.What is the difference between the compound interest and the simple interest on ₹50000 at 12% per year for 2 years (in ₹)?
16. 16.How many whole numbers lie between 40² and 41²?
17. 17.The sum of four consecutive whole numbers is 206. What is the largest of them?
18. 18.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
19. 19.Use (a + b)² = a² + 2ab + b² to find 68².
20. 20.What is the value of (4/9)⁻¹? =
21. 21.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
22. 22.What is ∛6859? =
23. 23.5.6 × 10⁷ =
24. 24.What is ∛64? =
25. 25.What is the value of 3⁶ × 3⁻²? =
26. 26.What is the smallest whole number by which 240 must be multiplied to get a perfect square?
27. 27.What is √2916? =
28. 28.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
29. 29.A town has 3800 people. The population grows by 10% every year. What will the population be after 2 years?
30. 30.Use (a − b)² = a² − 2ab + b² to find 98².
31. 31.Find the compound interest on ₹54900 at 20% per year for 1 year, compounded every year (in ₹).
32. 32.If a + b = 9 and ab = 20, what is a² + b²?
33. 33.Write (4⁶)⁶ as a single power 4ⁿ. What is n?
34. 34.Use (a + b)² = a² + 2ab + b² to find 46².
35. 35.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
36. 36.Use (a − b)² = a² − 2ab + b² to find 86².
37. 37.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
38. 38.What is the smallest whole number by which 108 must be multiplied to get a perfect square?
39. 39.Use (a + b)(a − b) = a² − b² to find 76 × 64.
40. 40.If a − b = 4 and ab = 21, what is a² + b²?

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