Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 755 · 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 9⁴? =
2. 2.What is the value of 3⁶ × 3⁻⁵? =
3. 3.Find the value of x² + 2xy + y² when x = 3 and y = 2.
4. 4.A father is 39 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
5. 5.What is 7³? =
6. 6.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
7. 7.A room is 9 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.A room is 7 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
11. 11.What is 14²? =
12. 12.A cuboid is 8 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
13. 13.How many whole numbers lie between 43² and 44²?
14. 14.A room is 9 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.Find the compound interest on ₹46900 at 12% per year for 1 year, compounded every year (in ₹).
16. 16.Which of these is a perfect square? (a) 690 (b) 676 (c) 681
17. 17.A square garden has an area of 1296 square m. How long is each side (in m)?
18. 18.What is 13³? =
19. 19.What is √961? =
20. 20.Find the compound interest on ₹37500 at 4% per year for 2 years, compounded every year (in ₹).
21. 21.What is the value of 5⁶ × 5⁻⁴? =
22. 22.What is the smallest whole number by which 150 must be divided to get a perfect square?
23. 23.What amount will ₹40900 grow to in 1 year at 5% per year compound interest (in ₹)?
24. 24.A trapezium has parallel sides of 4 cm and 30 cm, and the distance between them is 2 cm. What is its area (in square cm)?
25. 25.5 × 10⁷ =
26. 26.The length of a rectangle is 13 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
27. 27.A town has 7700 people. The population grows by 4% every year. What will the population be after 1 year?
28. 28.Write (5²)² as a single power 5ⁿ. What is n?
29. 29.Use (a − b)² = a² − 2ab + b² to find 54².
30. 30.Write 4.1 × 10⁻⁴ as a decimal. =
31. 31.A square garden has an area of 361 square m. How long is each side (in m)?
32. 32.A town has 52300 people. The population grows by 20% every year. What will the population be after 2 years?
33. 33.A scooter is worth ₹58500. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
34. 34.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
35. 35.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
36. 36.Which of these is a perfect cube? (a) 217 (b) 237 (c) 216
37. 37.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
38. 38.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
39. 39.What is the smallest whole number by which 96 must be multiplied to get a perfect square?
40. 40.Find the compound interest on ₹59000 at 20% per year for 3 years, compounded every year (in ₹).

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