Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 981 · 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 ∛216? =
2. 2.Use (a + b)(a − b) = a² − b² to find 107 × 93.
3. 3.Use (a + b)(a − b) = a² − b² to find 71 × 69.
4. 4.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
5. 5.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
6. 6.What is the difference between the compound interest and the simple interest on ₹25600 at 15% per year for 2 years (in ₹)?
7. 7.Find the compound interest on ₹6400 at 25% per year for 3 years, compounded every year (in ₹).
8. 8.Find the compound interest on ₹60000 at 10% per year for 3 years, compounded every year (in ₹).
9. 9.Solve: 6(n − 1) = 4n + 20. What is n?
10. 10.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
11. 11.What is ∛27? =
12. 12.What is the value of 2⁻² (as a fraction)? =
13. 13.What is √1369? =
14. 14.What amount will ₹47500 grow to in 2 years at 12% per year compound interest (in ₹)?
15. 15.What is 56²? =
16. 16.The sum of four consecutive whole numbers is 94. What is the smallest of them?
17. 17.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
18. 18.Find the value of x² − y² when x = 6 and y = 4.
19. 19.What is √2116? =
20. 20.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
21. 21.Write 77,00,000 in standard form as 7.7 × 10ⁿ. What is n?
22. 22.A cuboid is 10 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
23. 23.What is the difference between the compound interest and the simple interest on ₹33900 at 20% per year for 2 years (in ₹)?
24. 24.Find the compound interest on ₹3100 at 10% per year for 2 years, compounded every year (in ₹).
25. 25.What is the difference between the compound interest and the simple interest on ₹28800 at 25% per year for 2 years (in ₹)?
26. 26.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
27. 27.What amount will ₹34400 grow to in 1 year at 8% per year compound interest (in ₹)?
28. 28.A square garden has an area of 1369 square m. How long is each side (in m)?
29. 29.If a − b = 1 and ab = 90, what is a² + b²?
30. 30.A father is 14 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
31. 31.What is 46²? =
32. 32.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
33. 33.What is the value of 3¹ × 3⁻⁶? =
34. 34.What amount will ₹32400 grow to in 2 years at 15% per year compound interest (in ₹)?
35. 35.What is the value of 3⁶? =
36. 36.A square garden has an area of 196 square m. How long is each side (in m)?
37. 37.Find the value of x² − 2xy + y² when x = 6 and y = 1.
38. 38.Which of these is a perfect cube? (a) 562 (b) 512 (c) 622
39. 39.The length of a rectangle is 1 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
40. 40.7.8 × 10³ =

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