Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 522 · 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 trapezium has an area of 246 square cm. Its parallel sides are 17 cm and 24 cm. What is the distance between them (in cm)?
2. 2.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
3. 3.If a + b = 14 and ab = 48, what is a² + b²?
4. 4.A father is 6 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?
5. 5.What is the difference between the compound interest and the simple interest on ₹25000 at 8% per year for 2 years (in ₹)?
6. 6.A cuboid is 13 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
7. 7.Solve: y/2 + y/6 = 4. What is y?
8. 8.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
9. 9.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
10. 10.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
11. 11.Use (a − b)² = a² − 2ab + b² to find 94².
12. 12.What is the value of 6⁵? =
13. 13.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
14. 14.Which of these is a perfect square? (a) 649 (b) 626 (c) 625
15. 15.Solve: m/6 + m/5 = 55. What is m?
16. 16.A scooter is worth ₹8000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
17. 17.Solve: 3y + 5 = 2y + 11. What is y?
18. 18.What amount will ₹9600 grow to in 2 years at 5% per year compound interest (in ₹)?
19. 19.Which of these is a perfect square? (a) 289 (b) 295 (c) 319
20. 20.What is the value of (1/7)⁻²? =
21. 21.A trapezium has parallel sides of 19 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
22. 22.Use (a − b)² = a² − 2ab + b² to find 97².
23. 23.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
24. 24.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.A father is 14 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
26. 26.What is the smallest whole number by which 245 must be multiplied to get a perfect square?
27. 27.What is the value of 9⁻³ (as a fraction)? =
28. 28.A cuboid is 13 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
29. 29.Use (a + b)² = a² + 2ab + b² to find 11².
30. 30.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
31. 31.What is √7396? =
32. 32.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
33. 33.How many whole numbers lie between 12² and 13²?
34. 34.The sum of three consecutive whole numbers is 147. What is the smallest of them?
35. 35.Which of these is a perfect square? (a) 1523 (b) 1521 (c) 1598
36. 36.What is the difference between the compound interest and the simple interest on ₹55000 at 4% per year for 2 years (in ₹)?
37. 37.Which of these is a perfect square? (a) 676 (b) 711 (c) 704
38. 38.A trapezium has parallel sides of 27 cm and 30 cm, and the distance between them is 4 cm. What is its area (in square cm)?
39. 39.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
40. 40.Which of these is a perfect square? (a) 484 (b) 499 (c) 497

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