Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 173 · 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 father is 36 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
2. 2.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
3. 3.Use (a − b)² = a² − 2ab + b² to find 58².
4. 4.Solve: 4(y − 2) = 3y + 9. What is y?
5. 5.What is 81²? =
6. 6.A town has 32500 people. The population grows by 12% every year. What will the population be after 2 years?
7. 7.What is the difference between the compound interest and the simple interest on ₹35000 at 20% per year for 2 years (in ₹)?
8. 8.What is the value of 3⁸? =
9. 9.Solve: 3(m − 1) = m + 25. What is m?
10. 10.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
11. 11.Solve: n/4 + n/5 = 63. What is n?
12. 12.Solve: 6n + 7 = 5n + 8. What is n?
13. 13.A trapezium has an area of 315 square cm. Its parallel sides are 24 cm and 18 cm. What is the distance between them (in cm)?
14. 14.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
15. 15.Find the value of x² − y² when x = 11 and y = 3.
16. 16.A square garden has an area of 49 square m. How long is each side (in m)?
17. 17.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
18. 18.Write 2¹² ÷ 2⁴ as a single power 2ⁿ. What is n?
19. 19.Use (a − b)² = a² − 2ab + b² to find 51².
20. 20.What is the value of 2³ × 2⁻³? =
21. 21.What is the value of 3⁷? =
22. 22.Solve: 5(t − 4) = 2t + 22. What is t?
23. 23.What is the difference between the compound interest and the simple interest on ₹45000 at 8% per year for 2 years (in ₹)?
24. 24.Write 8⁹ ÷ 8⁵ as a single power 8ⁿ. What is n?
25. 25.What amount will ₹27200 grow to in 1 year at 12% per year compound interest (in ₹)?
26. 26.What is the difference between the compound interest and the simple interest on ₹54400 at 5% per year for 2 years (in ₹)?
27. 27.A town has 35600 people. The population grows by 25% every year. What will the population be after 2 years?
28. 28.What is the smallest whole number by which 108 must be multiplied to get a perfect square?
29. 29.Solve: 4n + 2 = n + 29. What is n?
30. 30.A town has 36400 people. The population grows by 20% every year. What will the population be after 1 year?
31. 31.What is 24²? =
32. 32.7.1 × 10⁷ =
33. 33.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
34. 34.Use (a + b)(a − b) = a² − b² to find 47 × 33.
35. 35.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
36. 36.Which of these is a perfect cube? (a) 1388 (b) 1688 (c) 1331
37. 37.Use (a + b)² = a² + 2ab + b² to find 18².
38. 38.What is the value of 10⁶ × 10⁻³? =
39. 39.What is the value of 3⁶ × 3⁻²? =
40. 40.Use (a + b)(a − b) = a² − b² to find 35 × 25.

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