Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 807 · 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.What is 18³? =
2. 2.What is ∛15625? =
3. 3.Find the compound interest on ₹41000 at 20% per year for 3 years, compounded every year (in ₹).
4. 4.Use (a + b)(a − b) = a² − b² to find 99 × 81.
5. 5.Use a² − b² = (a + b)(a − b) to find 28² − 18².
6. 6.What is the value of 8³? =
7. 7.Solve: p/2 + p/3 = 15. What is p?
8. 8.What is the smallest whole number by which 54 must be divided to get a perfect cube?
9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
10. 10.How many whole numbers lie between 34² and 35²?
11. 11.Solve: 3x + 9 = x + 11. What is x?
12. 12.If a − b = 3 and ab = 88, what is a² + b²?
13. 13.The sum of three consecutive whole numbers is 48. What is the smallest of them?
14. 14.What is √400? =
15. 15.Use a² − b² = (a + b)(a − b) to find 66² − 7².
16. 16.What is the value of 5⁷? =
17. 17.Which of these is a perfect square? (a) 308 (b) 310 (c) 289
18. 18.If a − b = 4 and ab = 5, what is a² + b²?
19. 19.A square garden has an area of 529 square m. How long is each side (in m)?
20. 20.What amount will ₹5000 grow to in 2 years at 4% per year compound interest (in ₹)?
21. 21.A trapezium has parallel sides of 25 cm and 23 cm, and the distance between them is 6 cm. What is its area (in square cm)?
22. 22.Find the compound interest on ₹45000 at 10% per year for 3 years, compounded every year (in ₹).
23. 23.What is √784? =
24. 24.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
25. 25.Write 73,00,000 in standard form as 7.3 × 10ⁿ. What is n?
26. 26.Find the compound interest on ₹57500 at 4% per year for 2 years, compounded every year (in ₹).
27. 27.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
28. 28.Solve: 8m + 3 = 4m + 43. What is m?
29. 29.Find the value of x² − 2xy + y² when x = 7 and y = 3.
30. 30.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
31. 31.What is the difference between the compound interest and the simple interest on ₹24400 at 10% per year for 2 years (in ₹)?
32. 32.What is the value of 2⁴ × 2⁻⁵? =
33. 33.Use (a + b)² = a² + 2ab + b² to find 48².
34. 34.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
35. 35.The sum of two consecutive whole numbers is 99. What is the largest of them?
36. 36.What is the value of 3⁴ × 3⁻²? =
37. 37.A town has 5400 people. The population grows by 5% every year. What will the population be after 1 year?
38. 38.What is √2916? =
39. 39.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
40. 40.Write 7.4 × 10⁻¹ as a decimal. =

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