Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 766 · 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 room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.Write 5,200 in standard form as 5.2 × 10ⁿ. What is n?
3. 3.Write 5.3 × 10⁻¹ as a decimal. =
4. 4.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).
5. 5.What is ∛27? =
6. 6.Write (9⁹)² as a single power 9ⁿ. What is n?
7. 7.What is ∛4096? =
8. 8.Which of these is a perfect square? (a) 640 (b) 649 (c) 625
9. 9.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
10. 10.Write 3.5 × 10⁻³ as a decimal. =
11. 11.The sum of three consecutive whole numbers is 78. What is the largest of them?
12. 12.What amount will ₹18000 grow to in 2 years at 15% per year compound interest (in ₹)?
13. 13.A scooter is worth ₹47600. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
14. 14.Write 8³ × 8⁴ as a single power 8ⁿ. What is n?
15. 15.Use (a + b)² = a² + 2ab + b² to find 102².
16. 16.Write 4,800 in standard form as 4.8 × 10ⁿ. What is n?
17. 17.A scooter is worth ₹54200. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
18. 18.Which of these is a perfect cube? (a) 156 (b) 166 (c) 125
19. 19.What is the smallest whole number by which 325 must be divided to get a perfect square?
20. 20.What is the difference between the compound interest and the simple interest on ₹24000 at 15% per year for 2 years (in ₹)?
21. 21.A square garden has an area of 1849 square m. How long is each side (in m)?
22. 22.Use (a − b)² = a² − 2ab + b² to find 65².
23. 23.Write 4⁴ × 4² as a single power 4ⁿ. What is n?
24. 24.What is the value of (1/4)⁻²? =
25. 25.A room is 9 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
26. 26.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
27. 27.Which of these is a perfect cube? (a) 2206 (b) 2673 (c) 2197
28. 28.What is the value of 2³ × 2⁻²? =
29. 29.The length of a rectangle is 9 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
30. 30.A room is 3 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
31. 31.Find the compound interest on ₹59000 at 4% per year for 1 year, compounded every year (in ₹).
32. 32.What amount will ₹43300 grow to in 2 years at 10% per year compound interest (in ₹)?
33. 33.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
34. 34.What amount will ₹20000 grow to in 2 years at 4% per year compound interest (in ₹)?
35. 35.What is √6241? =
36. 36.What is 5³? =
37. 37.Write 3.4 × 10⁻² as a decimal. =
38. 38.The length of a rectangle is 3 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
39. 39.Solve: 3(p − 3) = p + 9. What is p?
40. 40.What is the difference between the compound interest and the simple interest on ₹46800 at 15% per year for 2 years (in ₹)?

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