Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 123 · 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 the value of 4⁸? =
2. 2.A square garden has an area of 2401 square m. How long is each side (in m)?
3. 3.What is 35²? =
4. 4.If a − b = 2 and ab = 3, what is a² + b²?
5. 5.A town has 6100 people. The population grows by 20% every year. What will the population be after 2 years?
6. 6.A room is 11 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
7. 7.What amount will ₹32000 grow to in 3 years at 5% per year compound interest (in ₹)?
8. 8.A father is 28 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
9. 9.Solve: 9x + 7 = 5x + 51. What is x?
10. 10.A square garden has an area of 625 square m. How long is each side (in m)?
11. 11.Which of these is a perfect square? (a) 428 (b) 400 (c) 405
12. 12.Which of these is a perfect square? (a) 123 (b) 142 (c) 121
13. 13.What is the difference between the compound interest and the simple interest on ₹22800 at 25% per year for 2 years (in ₹)?
14. 14.What is √729? =
15. 15.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
16. 16.Which of these is a perfect square? (a) 1245 (b) 1226 (c) 1225
17. 17.Write 3² × 3⁵ as a single power 3ⁿ. What is n?
18. 18.A trapezium has parallel sides of 23 cm and 11 cm, and the distance between them is 4 cm. What is its area (in square cm)?
19. 19.A room is 12 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
20. 20.What is the value of 9⁻¹ (as a fraction)? =
21. 21.What is 33²? =
22. 22.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
23. 23.A town has 47200 people. The population grows by 4% every year. What will the population be after 1 year?
24. 24.What is √4356? =
25. 25.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
26. 26.The length of a rectangle is 10 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
27. 27.A father is 33 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
28. 28.Find the compound interest on ₹4800 at 10% per year for 2 years, compounded every year (in ₹).
29. 29.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
30. 30.What is the value of 2⁵ × 2⁻³? =
31. 31.The length of a rectangle is 4 cm more than its width. Its perimeter is 92 cm. What is its width (in cm)?
32. 32.Write 9² × 9⁸ as a single power 9ⁿ. What is n?
33. 33.What is the smallest whole number by which 350 must be multiplied to get a perfect square?
34. 34.What is the value of 10⁴ × 10⁻²? =
35. 35.What is √9025? =
36. 36.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
37. 37.Solve: 3(x − 5) = x + 3. What is x?
38. 38.Solve: 7y + 18 = 5y + 28. What is y?
39. 39.Which of these is a perfect square? (a) 1156 (b) 1205 (c) 1217
40. 40.Find the compound interest on ₹15500 at 20% per year for 2 years, compounded every year (in ₹).

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