Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 425 · 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.A square garden has an area of 3481 square m. How long is each side (in m)?
2. 2.What is √324? =
3. 3.A father is 27 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
4. 4.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
5. 5.What is the difference between the compound interest and the simple interest on ₹30000 at 8% per year for 2 years (in ₹)?
6. 6.Solve: 3t + 8 = t + 38. What is t?
7. 7.How many whole numbers lie between 24² and 25²?
8. 8.Write 8² × 8⁷ as a single power 8ⁿ. What is n?
9. 9.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
10. 10.Use a² − b² = (a + b)(a − b) to find 69² − 61².
11. 11.Solve: x/2 + x/3 = 15. What is x?
12. 12.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
13. 13.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
14. 14.The diagonals of a rhombus are 30 cm and 11 cm. What is its area (in square cm)?
15. 15.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
16. 16.A town has 54800 people. The population grows by 25% every year. What will the population be after 2 years?
17. 17.How many whole numbers lie between 15² and 16²?
18. 18.What is the value of 2⁶ × 2⁻³? =
19. 19.A square garden has an area of 324 square m. How long is each side (in m)?
20. 20.Write 5.6 × 10⁻⁴ as a decimal. =
21. 21.What is the smallest whole number by which 325 must be divided to get a perfect square?
22. 22.How many whole numbers lie between 8² and 9²?
23. 23.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
24. 24.What is the value of 5¹ × 5⁻⁵? =
25. 25.What is the value of 2¹⁵? =
26. 26.What is √3721? =
27. 27.A trapezium has parallel sides of 10 cm and 9 cm, and the distance between them is 6 cm. What is its area (in square cm)?
28. 28.Write 3¹⁰ ÷ 3⁶ as a single power 3ⁿ. What is n?
29. 29.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
30. 30.If a − b = 2 and ab = 3, what is a² + b²?
31. 31.A scooter is worth ₹59100. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
32. 32.Solve: y/6 + y/2 = 24. What is y?
33. 33.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
34. 34.What is the value of 3² × 3⁻⁴? =
35. 35.What is the difference between the compound interest and the simple interest on ₹7500 at 12% per year for 2 years (in ₹)?
36. 36.Use a² − b² = (a + b)(a − b) to find 71² − 41².
37. 37.What is the smallest whole number by which 40 must be multiplied to get a perfect square?
38. 38.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
39. 39.Which of these is a perfect cube? (a) 2274 (b) 2197 (c) 2444
40. 40.Use (a − b)² = a² − 2ab + b² to find 35².

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