Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 920 · 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 2⁴ × 2⁻²? =
2. 2.Solve: 3(m − 3) = m + 13. What is m?
3. 3.What amount will ₹6700 grow to in 1 year at 8% per year compound interest (in ₹)?
4. 4.Write 13,000 in standard form as 1.3 × 10ⁿ. What is n?
5. 5.Write (2⁶)⁸ as a single power 2ⁿ. What is n?
6. 6.Find the compound interest on ₹34200 at 25% per year for 1 year, compounded every year (in ₹).
7. 7.What is √6889? =
8. 8.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
9. 9.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
10. 10.Write 7² × 7⁷ as a single power 7ⁿ. What is n?
11. 11.What is the smallest whole number by which 27 must be multiplied to get a perfect square?
12. 12.What is the value of 2⁸? =
13. 13.1.5 × 10⁷ =
14. 14.A trapezium has parallel sides of 18 cm and 14 cm, and the distance between them is 5 cm. What is its area (in square cm)?
15. 15.Find the value of x² − 2xy + y² when x = 7 and y = 5.
16. 16.Use (a + b)² = a² + 2ab + b² to find 103².
17. 17.Use (a + b)² = a² + 2ab + b² to find 26².
18. 18.Find the compound interest on ₹46700 at 8% per year for 1 year, compounded every year (in ₹).
19. 19.Use (a − b)² = a² − 2ab + b² to find 28².
20. 20.Find the value of x² − 2xy + y² when x = 14 and y = 3.
21. 21.What is the difference between the compound interest and the simple interest on ₹6000 at 10% per year for 2 years (in ₹)?
22. 22.What is the difference between the compound interest and the simple interest on ₹7500 at 12% per year for 2 years (in ₹)?
23. 23.Solve: 3(x − 1) = x + 13. What is x?
24. 24.A room is 4 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
25. 25.Which of these is a perfect cube? (a) 1086 (b) 1109 (c) 1000
26. 26.What is the smallest whole number by which 343 must be multiplied to get a perfect square?
27. 27.Find the compound interest on ₹20800 at 25% per year for 3 years, compounded every year (in ₹).
28. 28.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
29. 29.2.6 × 10⁴ =
30. 30.What is the difference between the compound interest and the simple interest on ₹11600 at 5% per year for 2 years (in ₹)?
31. 31.Solve: 3n + 16 = n + 18. What is n?
32. 32.A trapezium has parallel sides of 6 cm and 22 cm, and the distance between them is 13 cm. What is its area (in square cm)?
33. 33.Find the compound interest on ₹32000 at 15% per year for 3 years, compounded every year (in ₹).
34. 34.What is 15³? =
35. 35.Find the value of x² − 2xy + y² when x = 13 and y = 1.
36. 36.A cuboid is 7 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
37. 37.Solve: p/3 + p/2 = 25. What is p?
38. 38.What is the difference between the compound interest and the simple interest on ₹32000 at 15% per year for 2 years (in ₹)?
39. 39.What is √8281? =
40. 40.A trapezium has parallel sides of 25 cm and 28 cm, and the distance between them is 10 cm. What is its area (in square cm)?

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