Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 934 · 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.Which of these is a perfect square? (a) 1431 (b) 1369 (c) 1373
2. 2.If a − b = 1 and ab = 2, what is a² + b²?
3. 3.Find the value of x² − y² when x = 7 and y = 5.
4. 4.What is √841? =
5. 5.Use (a + b)² = a² + 2ab + b² to find 88².
6. 6.A trapezium has parallel sides of 6 cm and 29 cm, and the distance between them is 6 cm. What is its area (in square cm)?
7. 7.Use (a + b)² = a² + 2ab + b² to find 36².
8. 8.Find the compound interest on ₹32900 at 5% per year for 1 year, compounded every year (in ₹).
9. 9.Solve: 5t + 1 = 3t + 19. What is t?
10. 10.What is 69²? =
11. 11.Solve: 5(y − 3) = y + 1. What is y?
12. 12.A cuboid is 10 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
13. 13.What is the value of 6⁻² (as a fraction)? =
14. 14.What is the difference between the compound interest and the simple interest on ₹38000 at 15% per year for 2 years (in ₹)?
15. 15.What is the difference between the compound interest and the simple interest on ₹17400 at 10% per year for 2 years (in ₹)?
16. 16.What is 72²? =
17. 17.5.2 × 10⁷ =
18. 18.A square garden has an area of 784 square m. How long is each side (in m)?
19. 19.What is 4³? =
20. 20.The sum of three consecutive whole numbers is 177. What is the smallest of them?
21. 21.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
22. 22.Find the value of x² − 2xy + y² when x = 8 and y = 3.
23. 23.What is √3025? =
24. 24.A trapezium has parallel sides of 20 cm and 22 cm, and the distance between them is 14 cm. What is its area (in square cm)?
25. 25.What is the smallest whole number by which 704 must be divided to get a perfect square?
26. 26.Find the compound interest on ₹14400 at 15% per year for 2 years, compounded every year (in ₹).
27. 27.What is √676? =
28. 28.What is the value of 5⁵? =
29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
30. 30.Use (a − b)² = a² − 2ab + b² to find 23².
31. 31.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
32. 32.What is √121? =
33. 33.Find the compound interest on ₹24000 at 5% per year for 3 years, compounded every year (in ₹).
34. 34.Find the value of x² + 2xy + y² when x = 8 and y = 6.
35. 35.Solve: m/2 + m/4 = 21. What is m?
36. 36.A town has 14600 people. The population grows by 10% every year. What will the population be after 1 year?
37. 37.Find the compound interest on ₹32500 at 12% per year for 2 years, compounded every year (in ₹).
38. 38.Use (a + b)(a − b) = a² − b² to find 83 × 77.
39. 39.Write 3⁵ × 3⁸ as a single power 3ⁿ. What is n?
40. 40.Find the value of x² + 2xy + y² when x = 3 and y = 2.

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