Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 321 · 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.Solve: n/2 + n/3 = 10. What is n?
2. 2.A cuboid is 3 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
3. 3.The diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
4. 4.What is the difference between the compound interest and the simple interest on ₹10000 at 4% per year for 2 years (in ₹)?
5. 5.Write 2⁶ ÷ 2⁴ as a single power 2ⁿ. What is n?
6. 6.What is the smallest whole number by which 250 must be divided to get a perfect cube?
7. 7.A scooter is worth ₹14500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
8. 8.Use (a + b)(a − b) = a² − b² to find 43 × 37.
9. 9.A trapezium has parallel sides of 8 cm and 20 cm, and the distance between them is 2 cm. What is its area (in square cm)?
10. 10.Solve: 3(x − 3) = 2x + 9. What is x?
11. 11.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
12. 12.Write 8¹⁰ ÷ 8⁷ as a single power 8ⁿ. What is n?
13. 13.What is the value of 3⁻⁴ (as a fraction)? =
14. 14.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
15. 15.Solve: 3(n − 4) = n + 22. What is n?
16. 16.Write 4² × 4⁵ as a single power 4ⁿ. What is n?
17. 17.Solve: 6p + 18 = 5p + 27. What is p?
18. 18.A square garden has an area of 2916 square m. How long is each side (in m)?
19. 19.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
20. 20.A room is 4 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
21. 21.Write 7⁶ × 7⁶ as a single power 7ⁿ. What is n?
22. 22.4 × 10² =
23. 23.How many whole numbers lie between 33² and 34²?
24. 24.Use a² − b² = (a + b)(a − b) to find 47² − 18².
25. 25.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
26. 26.Use (a + b)² = a² + 2ab + b² to find 106².
27. 27.What is 13²? =
28. 28.Find the value of x² − y² when x = 8 and y = 1.
29. 29.A cuboid is 8 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
30. 30.A town has 14400 people. The population grows by 25% every year. What will the population be after 3 years?
31. 31.What is the value of 8²? =
32. 32.Write 3⁵ ÷ 3² as a single power 3ⁿ. What is n?
33. 33.A trapezium has parallel sides of 12 cm and 17 cm, and the distance between them is 2 cm. What is its area (in square cm)?
34. 34.A square garden has an area of 961 square m. How long is each side (in m)?
35. 35.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
36. 36.What amount will ₹16000 grow to in 3 years at 5% per year compound interest (in ₹)?
37. 37.What is the value of (1/8)⁻²? =
38. 38.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
39. 39.Use a² − b² = (a + b)(a − b) to find 30² − 24².
40. 40.What is the difference between the compound interest and the simple interest on ₹52400 at 25% per year for 2 years (in ₹)?

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