Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 984 · 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.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
2. 2.What is 28²? =
3. 3.A father is 38 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
4. 4.Use (a + b)² = a² + 2ab + b² to find 98².
5. 5.A room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
6. 6.Solve: 8p + 15 = 2p + 99. What is p?
7. 7.Solve: 3(y − 4) = y + 8. What is y?
8. 8.What is the difference between the compound interest and the simple interest on ₹12500 at 4% per year for 2 years (in ₹)?
9. 9.What is the value of 6³? =
10. 10.A trapezium has parallel sides of 16 cm and 18 cm, and the distance between them is 8 cm. What is its area (in square cm)?
11. 11.Find the value of x² − y² when x = 8 and y = 3.
12. 12.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
13. 13.How many whole numbers lie between 12² and 13²?
14. 14.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
15. 15.What is ∛4913? =
16. 16.9.2 × 10⁶ =
17. 17.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
18. 18.A father is 11 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
19. 19.A square garden has an area of 81 square m. How long is each side (in m)?
20. 20.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
21. 21.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
22. 22.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
23. 23.A trapezium has parallel sides of 28 cm and 18 cm, and the distance between them is 6 cm. What is its area (in square cm)?
24. 24.A town has 9000 people. The population grows by 20% every year. What will the population be after 3 years?
25. 25.Solve: 5(x − 1) = 3x + 11. What is x?
26. 26.What is 18²? =
27. 27.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
28. 28.Solve: 6y + 4 = y + 24. What is y?
29. 29.Write 3.7 × 10⁻¹ as a decimal. =
30. 30.A cuboid is 12 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
31. 31.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
32. 32.Which of these is a perfect square? (a) 676 (b) 687 (c) 726
33. 33.A town has 12500 people. The population grows by 25% every year. What will the population be after 1 year?
34. 34.What is the value of 2¹⁴? =
35. 35.What is √2916? =
36. 36.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
37. 37.A trapezium has parallel sides of 8 cm and 11 cm, and the distance between them is 10 cm. What is its area (in square cm)?
38. 38.A scooter is worth ₹47100. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
39. 39.Which of these is a perfect cube? (a) 64 (b) 74 (c) 109
40. 40.A room is 12 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?

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