Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 527 · 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.Use a² − b² = (a + b)(a − b) to find 30² − 16².
2. 2.A town has 23800 people. The population grows by 10% every year. What will the population be after 1 year?
3. 3.What is √8100? =
4. 4.A scooter is worth ₹17500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
5. 5.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
6. 6.What is the difference between the compound interest and the simple interest on ₹9200 at 5% per year for 2 years (in ₹)?
7. 7.Use (a − b)² = a² − 2ab + b² to find 94².
8. 8.Find the compound interest on ₹43600 at 25% per year for 1 year, compounded every year (in ₹).
9. 9.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
10. 10.Use (a + b)(a − b) = a² − b² to find 47 × 33.
11. 11.Solve: 5y + 10 = 3y + 14. What is y?
12. 12.A cuboid is 5 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
13. 13.What amount will ₹15500 grow to in 1 year at 8% per year compound interest (in ₹)?
14. 14.Find the compound interest on ₹32800 at 8% per year for 1 year, compounded every year (in ₹).
15. 15.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
16. 16.What is √3844? =
17. 17.A cuboid is 5 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
18. 18.Use (a − b)² = a² − 2ab + b² to find 42².
19. 19.If a + b = 4 and ab = 3, what is a² + b²?
20. 20.What amount will ₹13200 grow to in 2 years at 15% per year compound interest (in ₹)?
21. 21.Solve: 3(p − 1) = p + 3. What is p?
22. 22.Use (a + b)(a − b) = a² − b² to find 76 × 64.
23. 23.Find the compound interest on ₹44000 at 20% per year for 3 years, compounded every year (in ₹).
24. 24.The sum of two consecutive whole numbers is 53. What is the smallest of them?
25. 25.What is 62²? =
26. 26.What is 20³? =
27. 27.A scooter is worth ₹57600. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
28. 28.Use a² − b² = (a + b)(a − b) to find 59² − 4².
29. 29.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
30. 30.Which of these is a perfect square? (a) 499 (b) 488 (c) 484
31. 31.What is the smallest whole number by which 325 must be divided to get a perfect square?
32. 32.A town has 27900 people. The population grows by 5% every year. What will the population be after 1 year?
33. 33.What is ∛3375? =
34. 34.The length of a rectangle is 15 cm more than its width. Its perimeter is 134 cm. What is its width (in cm)?
35. 35.Write 2³ × 2⁸ as a single power 2ⁿ. What is n?
36. 36.What is the smallest whole number by which 200 must be divided to get a perfect cube?
37. 37.What is the smallest whole number by which 891 must be multiplied to get a perfect square?
38. 38.Which of these is a perfect square? (a) 898 (b) 847 (c) 841
39. 39.A trapezium has an area of 111 square cm. Its parallel sides are 27 cm and 10 cm. What is the distance between them (in cm)?
40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

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