Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 992 · 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 cuboid is 4 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
2. 2.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
3. 3.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
4. 4.Find the value of x² − 2xy + y² when x = 5 and y = 4.
5. 5.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
6. 6.Solve: y/2 + y/4 = 21. What is y?
7. 7.A scooter is worth ₹25000. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
8. 8.Solve: p/2 + p/4 = 6. What is p?
9. 9.A father is 33 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
10. 10.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
11. 11.A trapezium has parallel sides of 6 cm and 3 cm, and the distance between them is 8 cm. What is its area (in square cm)?
12. 12.Find the compound interest on ₹13600 at 10% per year for 2 years, compounded every year (in ₹).
13. 13.Use (a + b)² = a² + 2ab + b² to find 101².
14. 14.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
15. 15.A cuboid is 11 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
16. 16.The diagonals of a rhombus are 22 cm and 8 cm. What is its area (in square cm)?
17. 17.Which of these is a perfect square? (a) 1111 (b) 1149 (c) 1089
18. 18.Find the value of x² − y² when x = 6 and y = 4.
19. 19.What is the value of 6²? =
20. 20.Solve: 4t + 15 = 2t + 35. What is t?
21. 21.A square garden has an area of 529 square m. How long is each side (in m)?
22. 22.What is the difference between the compound interest and the simple interest on ₹14000 at 15% per year for 2 years (in ₹)?
23. 23.What is the value of 5⁴? =
24. 24.What is √2304? =
25. 25.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
26. 26.A town has 12100 people. The population grows by 25% every year. What will the population be after 1 year?
27. 27.A cuboid is 4 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
28. 28.Write 8¹⁰ ÷ 8⁸ as a single power 8ⁿ. What is n?
29. 29.A room is 10 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
30. 30.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
31. 31.The length of a rectangle is 3 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
32. 32.A cuboid is 14 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
33. 33.What is the value of 8²? =
34. 34.What is the value of 3²? =
35. 35.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
36. 36.The diagonals of a rhombus are 6 cm and 9 cm. What is its area (in square cm)?
37. 37.Find the compound interest on ₹30900 at 12% per year for 1 year, compounded every year (in ₹).
38. 38.Use a² − b² = (a + b)(a − b) to find 68² − 48².
39. 39.Use (a + b)² = a² + 2ab + b² to find 25².
40. 40.8.5 × 10⁵ =

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