Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 55 · 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 cuboid is 15 cm long, 3 cm wide and 9 cm high. What is its total surface area (in square cm)?
2. 2.A square garden has an area of 100 square m. How long is each side (in m)?
3. 3.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
4. 4.Write 8¹² ÷ 8⁶ as a single power 8ⁿ. What is n?
5. 5.What is 31²? =
6. 6.Use (a + b)² = a² + 2ab + b² to find 24².
7. 7.What is the value of 10⁴? =
8. 8.3.9 × 10⁵ =
9. 9.What is the value of 3⁷? =
10. 10.Find the compound interest on ₹18700 at 10% per year for 2 years, compounded every year (in ₹).
11. 11.The sum of three consecutive whole numbers is 36. What is the largest of them?
12. 12.What is 76²? =
13. 13.Use (a + b)² = a² + 2ab + b² to find 47².
14. 14.If a + b = 21 and ab = 108, what is a² + b²?
15. 15.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
16. 16.The sum of three consecutive whole numbers is 51. What is the smallest of them?
17. 17.What is the value of 5²? =
18. 18.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
19. 19.What is the value of 2⁴? =
20. 20.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
21. 21.What is the difference between the compound interest and the simple interest on ₹18100 at 10% per year for 2 years (in ₹)?
22. 22.Write 4⁸ × 4⁶ as a single power 4ⁿ. What is n?
23. 23.What is the smallest whole number by which 52 must be divided to get a perfect square?
24. 24.A square garden has an area of 3136 square m. How long is each side (in m)?
25. 25.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
26. 26.What is the value of 2⁻⁹ (as a fraction)? =
27. 27.Find the value of x² + 2xy + y² when x = 12 and y = 7.
28. 28.If a − b = 2 and ab = 3, what is a² + b²?
29. 29.Write 9⁹ × 9⁴ as a single power 9ⁿ. What is n?
30. 30.Use (a + b)² = a² + 2ab + b² to find 33².
31. 31.A cuboid is 14 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
32. 32.Solve: 5p + 15 = 3p + 19. What is p?
33. 33.Find the compound interest on ₹25600 at 4% per year for 1 year, compounded every year (in ₹).
34. 34.Use a² − b² = (a + b)(a − b) to find 71² − 45².
35. 35.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
36. 36.Write (7⁴)⁷ as a single power 7ⁿ. What is n?
37. 37.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
38. 38.What is √1936? =
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.A cuboid is 10 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?

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