Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 263 · 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 difference between the compound interest and the simple interest on ₹54800 at 5% per year for 2 years (in ₹)?
2. 2.What is ∛125? =
3. 3.What is the value of 5⁵ × 5⁻⁶? =
4. 4.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
5. 5.Solve: y/5 + y/2 = 7. What is y?
6. 6.The diagonals of a rhombus are 4 cm and 14 cm. What is its area (in square cm)?
7. 7.What amount will ₹52500 grow to in 2 years at 8% per year compound interest (in ₹)?
8. 8.What is the difference between the compound interest and the simple interest on ₹23600 at 5% per year for 2 years (in ₹)?
9. 9.Write 5⁷ × 5⁷ as a single power 5ⁿ. What is n?
10. 10.What is the difference between the compound interest and the simple interest on ₹20500 at 20% per year for 2 years (in ₹)?
11. 11.Which of these is a perfect square? (a) 221 (b) 217 (c) 196
12. 12.The sum of three consecutive whole numbers is 177. What is the smallest of them?
13. 13.A trapezium has parallel sides of 17 cm and 5 cm, and the distance between them is 5 cm. What is its area (in square cm)?
14. 14.What amount will ₹5300 grow to in 1 year at 20% per year compound interest (in ₹)?
15. 15.The sum of four consecutive whole numbers is 74. What is the smallest of them?
16. 16.Use (a − b)² = a² − 2ab + b² to find 65².
17. 17.What is the smallest whole number by which 40 must be divided to get a perfect cube?
18. 18.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
19. 19.What is the difference between the compound interest and the simple interest on ₹22400 at 25% per year for 2 years (in ₹)?
20. 20.A father is 24 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?
21. 21.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
22. 22.What is the value of 10⁵ × 10⁻³? =
23. 23.How many whole numbers lie between 50² and 51²?
24. 24.A square garden has an area of 2116 square m. How long is each side (in m)?
25. 25.Find the value of x² + 2xy + y² when x = 6 and y = 2.
26. 26.What is ∛64? =
27. 27.A scooter is worth ₹42600. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
28. 28.Solve: p/6 + p/5 = 33. What is p?
29. 29.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
30. 30.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
31. 31.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
32. 32.A square garden has an area of 289 square m. How long is each side (in m)?
33. 33.What is √1156? =
34. 34.What is the value of 2⁸? =
35. 35.How many whole numbers lie between 45² and 46²?
36. 36.What is ∛216? =
37. 37.What amount will ₹57000 grow to in 2 years at 10% per year compound interest (in ₹)?
38. 38.How many whole numbers lie between 8² and 9²?
39. 39.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
40. 40.Find the compound interest on ₹14700 at 10% per year for 2 years, compounded every year (in ₹).

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