Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 264 · 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.Write 49,00,000 in standard form as 4.9 × 10ⁿ. What is n?
2. 2.Find the value of x² − y² when x = 4 and y = 1.
3. 3.Use (a + b)² = a² + 2ab + b² to find 15².
4. 4.If a − b = 4 and ab = 60, what is a² + b²?
5. 5.Find the value of x² − 2xy + y² when x = 3 and y = 1.
6. 6.Use (a + b)(a − b) = a² − b² to find 95 × 85.
7. 7.What is √4624? =
8. 8.Write 7.1 × 10⁻⁴ as a decimal. =
9. 9.Use (a + b)(a − b) = a² − b² to find 41 × 39.
10. 10.Find the compound interest on ₹44100 at 15% per year for 1 year, compounded every year (in ₹).
11. 11.What is the difference between the compound interest and the simple interest on ₹35200 at 25% per year for 2 years (in ₹)?
12. 12.Find the value of x² + 2xy + y² when x = 5 and y = 2.
13. 13.Use (a − b)² = a² − 2ab + b² to find 49².
14. 14.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
15. 15.What is 55²? =
16. 16.A trapezium has parallel sides of 25 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
17. 17.A room is 4 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
18. 18.A trapezium has parallel sides of 11 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
19. 19.Solve: 5(x − 3) = 3x + 25. What is x?
20. 20.A square garden has an area of 484 square m. How long is each side (in m)?
21. 21.What is 15³? =
22. 22.What is the smallest whole number by which 640 must be multiplied to get a perfect square?
23. 23.Find the compound interest on ₹19200 at 25% per year for 3 years, compounded every year (in ₹).
24. 24.What is the value of 3¹ × 3⁻³? =
25. 25.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
26. 26.Which of these is a perfect square? (a) 1018 (b) 961 (c) 989
27. 27.A father is 33 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
28. 28.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
29. 29.The sum of four consecutive whole numbers is 34. What is the smallest of them?
30. 30.What is the value of (2/7)⁻²? =
31. 31.A scooter is worth ₹16000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
32. 32.What amount will ₹10000 grow to in 2 years at 4% per year compound interest (in ₹)?
33. 33.Solve: 9t + 3 = t + 99. What is t?
34. 34.What is the value of 3² × 3⁻⁴? =
35. 35.Solve: 3x + 4 = x + 16. What is x?
36. 36.What amount will ₹19000 grow to in 1 year at 5% per year compound interest (in ₹)?
37. 37.Use (a + b)² = a² + 2ab + b² to find 82².
38. 38.Solve: t/2 + t/5 = 56. What is t?
39. 39.What amount will ₹37400 grow to in 1 year at 4% per year compound interest (in ₹)?
40. 40.Which of these is a perfect cube? (a) 3375 (b) 3396 (c) 3611

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