Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 725 · 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 trapezium has parallel sides of 6 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
2. 2.Solve: 3y + 5 = y + 19. What is y?
3. 3.Use (a + b)² = a² + 2ab + b² to find 65².
4. 4.What is ∛9261? =
5. 5.Find the compound interest on ₹54600 at 12% per year for 1 year, compounded every year (in ₹).
6. 6.Find the value of x² − y² when x = 11 and y = 2.
7. 7.A room is 8 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.What is ∛5832? =
9. 9.Use (a − b)² = a² − 2ab + b² to find 77².
10. 10.What is √676? =
11. 11.What is ∛125? =
12. 12.What is 20³? =
13. 13.Use (a − b)² = a² − 2ab + b² to find 35².
14. 14.Use (a + b)² = a² + 2ab + b² to find 28².
15. 15.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
16. 16.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
17. 17.Solve: 5m + 8 = 2m + 50. What is m?
18. 18.What is √961? =
19. 19.Use a² − b² = (a + b)(a − b) to find 26² − 10².
20. 20.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
21. 21.A trapezium has parallel sides of 10 cm and 20 cm, and the distance between them is 6 cm. What is its area (in square cm)?
22. 22.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
23. 23.What amount will ₹22600 grow to in 1 year at 5% per year compound interest (in ₹)?
24. 24.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
25. 25.What amount will ₹31800 grow to in 1 year at 15% per year compound interest (in ₹)?
26. 26.What is the difference between the compound interest and the simple interest on ₹15200 at 10% per year for 2 years (in ₹)?
27. 27.A trapezium has an area of 234 square cm. Its parallel sides are 25 cm and 11 cm. What is the distance between them (in cm)?
28. 28.Which of these is a perfect square? (a) 1662 (b) 1600 (c) 1644
29. 29.What amount will ₹5200 grow to in 1 year at 8% per year compound interest (in ₹)?
30. 30.Which of these is a perfect square? (a) 169 (b) 177 (c) 171
31. 31.Solve: 5(n − 1) = 4n + 1. What is n?
32. 32.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
33. 33.If a − b = 6 and ab = 16, what is a² + b²?
34. 34.Find the compound interest on ₹41600 at 12% per year for 1 year, compounded every year (in ₹).
35. 35.Write 6⁹ × 6³ as a single power 6ⁿ. What is n?
36. 36.What is the smallest whole number by which 648 must be divided to get a perfect cube?
37. 37.What is the smallest whole number by which 63 must be multiplied to get a perfect square?
38. 38.Use (a + b)² = a² + 2ab + b² to find 63².
39. 39.What amount will ₹24100 grow to in 1 year at 10% per year compound interest (in ₹)?
40. 40.What is the smallest whole number by which 392 must be divided to get a perfect cube?

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