Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 742 · 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 the value of 10⁵ × 10⁻³? =
2. 2.What amount will ₹25900 grow to in 1 year at 5% per year compound interest (in ₹)?
3. 3.Which of these is a perfect cube? (a) 1358 (b) 1344 (c) 1331
4. 4.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
5. 5.Find the compound interest on ₹24300 at 10% per year for 2 years, compounded every year (in ₹).
6. 6.Solve: 4m + 13 = m + 49. What is m?
7. 7.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
8. 8.Write 9.6 × 10⁻⁴ as a decimal. =
9. 9.Use a² − b² = (a + b)(a − b) to find 66² − 15².
10. 10.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
11. 11.Solve: y/4 + y/2 = 18. What is y?
12. 12.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
13. 13.Which of these is a perfect cube? (a) 1065 (b) 1282 (c) 1000
14. 14.What is ∛512? =
15. 15.A square garden has an area of 2601 square m. How long is each side (in m)?
16. 16.Which of these is a perfect square? (a) 1154 (b) 1089 (c) 1104
17. 17.Find the compound interest on ₹31000 at 20% per year for 3 years, compounded every year (in ₹).
18. 18.What is the value of 5²? =
19. 19.Find the compound interest on ₹7700 at 8% per year for 1 year, compounded every year (in ₹).
20. 20.What is the value of 10⁴? =
21. 21.What is √5929? =
22. 22.How many whole numbers lie between 11² and 12²?
23. 23.A trapezium has an area of 216 square cm. Its parallel sides are 17 cm and 7 cm. What is the distance between them (in cm)?
24. 24.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
25. 25.Write 4.1 × 10⁻¹ as a decimal. =
26. 26.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
27. 27.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
28. 28.Use (a + b)(a − b) = a² − b² to find 105 × 95.
29. 29.Use a² − b² = (a + b)(a − b) to find 37² − 27².
30. 30.What is the difference between the compound interest and the simple interest on ₹55600 at 20% per year for 2 years (in ₹)?
31. 31.The diagonals of a rhombus are 10 cm and 3 cm. What is its area (in square cm)?
32. 32.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
33. 33.What is the value of 4⁷? =
34. 34.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
35. 35.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
36. 36.What amount will ₹46200 grow to in 1 year at 20% per year compound interest (in ₹)?
37. 37.A square garden has an area of 1225 square m. How long is each side (in m)?
38. 38.Which of these is a perfect square? (a) 682 (b) 676 (c) 679
39. 39.Solve: 7p + 14 = 5p + 22. What is p?
40. 40.Find the value of x² − y² when x = 11 and y = 10.

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