Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 377 · 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 6.1 × 10⁻² as a decimal. =
2. 2.What is 65²? =
3. 3.The sum of two consecutive whole numbers is 71. What is the largest of them?
4. 4.Find the value of x² + 2xy + y² when x = 12 and y = 1.
5. 5.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
6. 6.What is the difference between the compound interest and the simple interest on ₹40800 at 15% per year for 2 years (in ₹)?
7. 7.If a + b = 6 and ab = 5, what is a² + b²?
8. 8.What is the value of 3³ × 3⁻⁴? =
9. 9.What is ∛5832? =
10. 10.A square garden has an area of 324 square m. How long is each side (in m)?
11. 11.What is the value of 2¹ × 2⁻⁵? =
12. 12.Use (a + b)² = a² + 2ab + b² to find 57².
13. 13.Write 9.1 × 10⁻⁴ as a decimal. =
14. 14.Solve: 6p + 18 = 4p + 26. What is p?
15. 15.What is the value of 8³? =
16. 16.What is the difference between the compound interest and the simple interest on ₹28000 at 10% per year for 2 years (in ₹)?
17. 17.Solve: 9n + 17 = 3n + 83. What is n?
18. 18.What is the value of 2⁻⁵ (as a fraction)? =
19. 19.Find the compound interest on ₹27500 at 12% per year for 2 years, compounded every year (in ₹).
20. 20.Use (a + b)² = a² + 2ab + b² to find 66².
21. 21.If a + b = 3 and ab = 2, what is a² + b²?
22. 22.What amount will ₹55400 grow to in 1 year at 25% per year compound interest (in ₹)?
23. 23.Which of these is a perfect square? (a) 912 (b) 900 (c) 959
24. 24.A town has 55200 people. The population grows by 15% every year. What will the population be after 2 years?
25. 25.What is the smallest whole number by which 240 must be multiplied to get a perfect square?
26. 26.What is the difference between the compound interest and the simple interest on ₹5000 at 12% per year for 2 years (in ₹)?
27. 27.Use a² − b² = (a + b)(a − b) to find 88² − 40².
28. 28.Write (6³)⁹ as a single power 6ⁿ. What is n?
29. 29.Use (a + b)² = a² + 2ab + b² to find 96².
30. 30.Which of these is a perfect square? (a) 871 (b) 842 (c) 841
31. 31.9.2 × 10³ =
32. 32.Find the value of x² + 2xy + y² when x = 9 and y = 4.
33. 33.A trapezium has an area of 85 square cm. Its parallel sides are 10 cm and 7 cm. What is the distance between them (in cm)?
34. 34.A trapezium has parallel sides of 9 cm and 6 cm, and the distance between them is 4 cm. What is its area (in square cm)?
35. 35.A cuboid is 6 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
36. 36.What is 17³? =
37. 37.Use (a + b)(a − b) = a² − b² to find 34 × 26.
38. 38.Solve: 9x + 1 = 8x + 15. What is x?
39. 39.The diagonals of a rhombus are 16 cm and 19 cm. What is its area (in square cm)?
40. 40.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?

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