Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 397 · 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 80²? =
2. 2.Write 7,900 in standard form as 7.9 × 10ⁿ. What is n?
3. 3.Use a² − b² = (a + b)(a − b) to find 83² − 4².
4. 4.What is the value of (4/7)⁻¹? =
5. 5.What amount will ₹39600 grow to in 1 year at 15% per year compound interest (in ₹)?
6. 6.Use a² − b² = (a + b)(a − b) to find 25² − 1².
7. 7.Which of these is a perfect square? (a) 1521 (b) 1583 (c) 1588
8. 8.What is the value of (4/7)⁻²? =
9. 9.Write (4⁴)⁴ as a single power 4ⁿ. What is n?
10. 10.Write 9,10,00,000 in standard form as 9.1 × 10ⁿ. What is n?
11. 11.Find the compound interest on ₹11200 at 15% per year for 2 years, compounded every year (in ₹).
12. 12.What is √2304? =
13. 13.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
14. 14.What is the value of 3² × 3⁻¹? =
15. 15.Use a² − b² = (a + b)(a − b) to find 38² − 31².
16. 16.Find the compound interest on ₹45900 at 10% per year for 1 year, compounded every year (in ₹).
17. 17.Write 1,40,00,000 in standard form as 1.4 × 10ⁿ. What is n?
18. 18.Solve: 5y + 17 = 3y + 47. What is y?
19. 19.If a + b = 5 and ab = 4, what is a² + b²?
20. 20.What is the value of 9³? =
21. 21.Write 9¹³ ÷ 9⁸ as a single power 9ⁿ. What is n?
22. 22.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.Use (a + b)(a − b) = a² − b² to find 43 × 37.
24. 24.What is 72²? =
25. 25.The sum of two consecutive whole numbers is 17. What is the largest of them?
26. 26.A town has 31200 people. The population grows by 5% every year. What will the population be after 1 year?
27. 27.What is 71²? =
28. 28.What is the value of 2¹⁵? =
29. 29.A father is 27 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
30. 30.A town has 9000 people. The population grows by 10% every year. What will the population be after 1 year?
31. 31.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
32. 32.Find the compound interest on ₹23100 at 25% per year for 1 year, compounded every year (in ₹).
33. 33.6.8 × 10² =
34. 34.What is the smallest whole number by which 540 must be multiplied to get a perfect square?
35. 35.Use (a − b)² = a² − 2ab + b² to find 11².
36. 36.If a − b = 1 and ab = 2, what is a² + b²?
37. 37.What is the smallest whole number by which 28 must be multiplied to get a perfect square?
38. 38.Write 880 in standard form as 8.8 × 10ⁿ. What is n?
39. 39.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
40. 40.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?

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