Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 730 · 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.Write (4⁴)⁶ as a single power 4ⁿ. What is n?
2. 2.A room is 7 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
3. 3.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
4. 4.Find the compound interest on ₹2400 at 5% per year for 1 year, compounded every year (in ₹).
5. 5.What is the value of 2⁴ × 2⁻²? =
6. 6.A trapezium has an area of 84 square cm. Its parallel sides are 4 cm and 17 cm. What is the distance between them (in cm)?
7. 7.What is √4900? =
8. 8.Use (a − b)² = a² − 2ab + b² to find 94².
9. 9.A father is 24 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
10. 10.What is the value of 7³? =
11. 11.A cuboid is 13 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
12. 12.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
13. 13.Find the compound interest on ₹32500 at 8% per year for 2 years, compounded every year (in ₹).
14. 14.Find the value of x² − 2xy + y² when x = 3 and y = 1.
15. 15.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
16. 16.The length of a rectangle is 3 cm more than its width. Its perimeter is 90 cm. What is its width (in cm)?
17. 17.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
18. 18.Find the value of x² + 2xy + y² when x = 6 and y = 2.
19. 19.What is the value of 5³ × 5⁻⁶? =
20. 20.What is the value of 2¹ × 2⁻⁵? =
21. 21.Use (a − b)² = a² − 2ab + b² to find 76².
22. 22.If a + b = 4 and ab = 3, what is a² + b²?
23. 23.What is 12²? =
24. 24.What is the smallest whole number by which 200 must be divided to get a perfect cube?
25. 25.The length of a rectangle is 5 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
26. 26.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
27. 27.What is √324? =
28. 28.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
29. 29.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
30. 30.Solve: 3(n − 2) = 2n + 5. What is n?
31. 31.The diagonals of a rhombus are 14 cm and 29 cm. What is its area (in square cm)?
32. 32.How many whole numbers lie between 38² and 39²?
33. 33.Use (a + b)² = a² + 2ab + b² to find 84².
34. 34.What amount will ₹57600 grow to in 1 year at 12% per year compound interest (in ₹)?
35. 35.What is 19²? =
36. 36.Write 3.4 × 10⁻⁴ as a decimal. =
37. 37.Use (a + b)(a − b) = a² − b² to find 108 × 92.
38. 38.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
39. 39.A cuboid is 3 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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