Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 689 · 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 square garden has an area of 625 square m. How long is each side (in m)?
2. 2.Solve: n/6 + n/2 = 8. What is n?
3. 3.A trapezium has parallel sides of 27 cm and 25 cm, and the distance between them is 15 cm. What is its area (in square cm)?
4. 4.A father is 36 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
5. 5.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
6. 6.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
7. 7.The length of a rectangle is 6 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
8. 8.What is 21²? =
9. 9.What is 16³? =
10. 10.Find the value of x² − 2xy + y² when x = 14 and y = 7.
11. 11.A trapezium has an area of 272 square cm. Its parallel sides are 18 cm and 16 cm. What is the distance between them (in cm)?
12. 12.What amount will ₹53700 grow to in 1 year at 20% per year compound interest (in ₹)?
13. 13.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
14. 14.What is 28²? =
15. 15.Use (a + b)(a − b) = a² − b² to find 23 × 17.
16. 16.What is the value of 10⁴ × 10⁻³? =
17. 17.Write 2.7 × 10⁻⁴ as a decimal. =
18. 18.What is the value of 2⁻² (as a fraction)? =
19. 19.What is the difference between the compound interest and the simple interest on ₹6400 at 10% per year for 2 years (in ₹)?
20. 20.Find the value of x² − 2xy + y² when x = 3 and y = 2.
21. 21.A room is 6 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
22. 22.Write 2¹⁴ ÷ 2⁹ as a single power 2ⁿ. What is n?
23. 23.Use (a + b)² = a² + 2ab + b² to find 38².
24. 24.Solve: 4y + 11 = 3y + 20. What is y?
25. 25.Find the compound interest on ₹33600 at 5% per year for 2 years, compounded every year (in ₹).
26. 26.Use (a + b)² = a² + 2ab + b² to find 71².
27. 27.What is 89²? =
28. 28.What is the value of 2⁶? =
29. 29.What is the value of 4⁶? =
30. 30.A trapezium has parallel sides of 16 cm and 19 cm, and the distance between them is 18 cm. What is its area (in square cm)?
31. 31.What is the value of 3² × 3⁻³? =
32. 32.Write 2.9 × 10⁻² as a decimal. =
33. 33.A trapezium has parallel sides of 29 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
34. 34.What is ∛8? =
35. 35.Which of these is a perfect square? (a) 1453 (b) 1498 (c) 1444
36. 36.A square garden has an area of 36 square m. How long is each side (in m)?
37. 37.What amount will ₹35200 grow to in 2 years at 15% per year compound interest (in ₹)?
38. 38.What is the value of (2/3)⁻¹? =
39. 39.Use (a + b)² = a² + 2ab + b² to find 104².
40. 40.Write 6,200 in standard form as 6.2 × 10ⁿ. What is n?

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