Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 313 · 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.Use a² − b² = (a + b)(a − b) to find 38² − 14².
2. 2.Solve: x/6 + x/3 = 3. What is x?
3. 3.What is the smallest whole number by which 32 must be divided to get a perfect square?
4. 4.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
5. 5.Write (6⁷)⁹ as a single power 6ⁿ. What is n?
6. 6.What is 16³? =
7. 7.Solve: m/4 + m/6 = 10. What is m?
8. 8.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
9. 9.Use (a − b)² = a² − 2ab + b² to find 97².
10. 10.2.8 × 10⁴ =
11. 11.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
12. 12.The sum of three consecutive whole numbers is 120. What is the largest of them?
13. 13.What is the smallest whole number by which 54 must be multiplied to get a perfect square?
14. 14.The sum of three consecutive whole numbers is 153. What is the smallest of them?
15. 15.What is 2³? =
16. 16.The diagonals of a rhombus are 14 cm and 7 cm. What is its area (in square cm)?
17. 17.What amount will ₹2800 grow to in 2 years at 15% per year compound interest (in ₹)?
18. 18.Find the compound interest on ₹19300 at 5% per year for 1 year, compounded every year (in ₹).
19. 19.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
20. 20.Which of these is a perfect square? (a) 246 (b) 225 (c) 242
21. 21.A trapezium has parallel sides of 29 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
22. 22.A room is 8 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.What is ∛4096? =
24. 24.What is the difference between the compound interest and the simple interest on ₹30600 at 10% per year for 2 years (in ₹)?
25. 25.A cuboid is 6 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
26. 26.What is the smallest whole number by which 56 must be divided to get a perfect square?
27. 27.A square garden has an area of 36 square m. How long is each side (in m)?
28. 28.What is ∛8? =
29. 29.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
30. 30.What is the value of 3² × 3⁻⁵? =
31. 31.What is the difference between the compound interest and the simple interest on ₹48000 at 10% per year for 2 years (in ₹)?
32. 32.What is the value of (5/9)⁻²? =
33. 33.How many whole numbers lie between 5² and 6²?
34. 34.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
35. 35.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
36. 36.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
37. 37.What is the value of 3⁻⁴ (as a fraction)? =
38. 38.The length of a rectangle is 10 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
39. 39.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
40. 40.A scooter is worth ₹32000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets