Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 213 · 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.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
2. 2.If a + b = 17 and ab = 60, what is a² + b²?
3. 3.Find the compound interest on ₹58400 at 5% per year for 2 years, compounded every year (in ₹).
4. 4.What is the value of 2¹⁶? =
5. 5.Use (a + b)(a − b) = a² − b² to find 32 × 28.
6. 6.A cuboid is 3 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
7. 7.What is 15³? =
8. 8.Find the value of x² + 2xy + y² when x = 12 and y = 10.
9. 9.The length of a rectangle is 3 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
10. 10.Solve: x/5 + x/4 = 9. What is x?
11. 11.Find the compound interest on ₹22300 at 12% per year for 1 year, compounded every year (in ₹).
12. 12.What is the difference between the compound interest and the simple interest on ₹18000 at 15% per year for 2 years (in ₹)?
13. 13.What is ∛9261? =
14. 14.What is √1600? =
15. 15.8.3 × 10⁵ =
16. 16.Use (a + b)² = a² + 2ab + b² to find 106².
17. 17.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
18. 18.What is 11³? =
19. 19.What is 84²? =
20. 20.Find the value of x² − y² when x = 11 and y = 5.
21. 21.Solve: p/3 + p/6 = 15. What is p?
22. 22.A room is 4 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.The length of a rectangle is 11 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
24. 24.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
25. 25.A room is 5 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.Use a² − b² = (a + b)(a − b) to find 30² − 26².
27. 27.The diagonals of a rhombus are 10 cm and 13 cm. What is its area (in square cm)?
28. 28.If a − b = 2 and ab = 35, what is a² + b²?
29. 29.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
30. 30.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
31. 31.Write 7.9 × 10⁻⁴ as a decimal. =
32. 32.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
33. 33.What is the value of 7⁻³ (as a fraction)? =
34. 34.Use (a + b)² = a² + 2ab + b² to find 107².
35. 35.Find the value of x² − y² when x = 14 and y = 1.
36. 36.Use (a + b)² = a² + 2ab + b² to find 61².
37. 37.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
38. 38.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
39. 39.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
40. 40.Solve: x/2 + x/3 = 5. What is x?

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