Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 894 · 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 smallest whole number by which 72 must be divided to get a perfect cube?
2. 2.What is the value of 3⁸? =
3. 3.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
4. 4.A square garden has an area of 3025 square m. How long is each side (in m)?
5. 5.Use (a + b)(a − b) = a² − b² to find 36 × 24.
6. 6.What is the value of 3¹⁰? =
7. 7.Write 1.5 × 10⁻³ as a decimal. =
8. 8.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
9. 9.What is 18³? =
10. 10.The sum of three consecutive whole numbers is 138. What is the largest of them?
11. 11.What is 77²? =
12. 12.A father is 26 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
13. 13.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
14. 14.Which of these is a perfect square? (a) 742 (b) 729 (c) 776
15. 15.A trapezium has an area of 371 square cm. Its parallel sides are 29 cm and 24 cm. What is the distance between them (in cm)?
16. 16.A cuboid is 12 cm long, 3 cm wide and 4 cm high. What is its total surface area (in square cm)?
17. 17.What is the value of 5¹ × 5⁻²? =
18. 18.A square garden has an area of 100 square m. How long is each side (in m)?
19. 19.Write (7³)⁶ as a single power 7ⁿ. What is n?
20. 20.What is √1681? =
21. 21.What is √5476? =
22. 22.Which of these is a perfect cube? (a) 1574 (b) 1520 (c) 1331
23. 23.Use (a − b)² = a² − 2ab + b² to find 11².
24. 24.What is √1764? =
25. 25.A square garden has an area of 576 square m. How long is each side (in m)?
26. 26.Use (a + b)(a − b) = a² − b² to find 103 × 97.
27. 27.A town has 20700 people. The population grows by 20% every year. What will the population be after 1 year?
28. 28.Use (a + b)(a − b) = a² − b² to find 85 × 75.
29. 29.What is the difference between the compound interest and the simple interest on ₹20000 at 15% per year for 2 years (in ₹)?
30. 30.What is √676? =
31. 31.Solve: 3(y − 4) = 2y + 12. What is y?
32. 32.A town has 8800 people. The population grows by 20% every year. What will the population be after 2 years?
33. 33.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
34. 34.A scooter is worth ₹32300. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
35. 35.9.7 × 10⁶ =
36. 36.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
37. 37.A cuboid is 12 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
38. 38.Write 3.8 × 10⁻¹ as a decimal. =
39. 39.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
40. 40.Which of these is a perfect square? (a) 289 (b) 299 (c) 300

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