Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 316 · 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 66² − 9².
2. 2.How many whole numbers lie between 10² and 11²?
3. 3.Write 98,000 in standard form as 9.8 × 10ⁿ. What is n?
4. 4.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
5. 5.Use (a − b)² = a² − 2ab + b² to find 28².
6. 6.Use a² − b² = (a + b)(a − b) to find 38² − 23².
7. 7.What is √5041? =
8. 8.What is the difference between the compound interest and the simple interest on ₹42500 at 4% per year for 2 years (in ₹)?
9. 9.A trapezium has an area of 78 square cm. Its parallel sides are 25 cm and 14 cm. What is the distance between them (in cm)?
10. 10.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
11. 11.What is the smallest whole number by which 80 must be divided to get a perfect square?
12. 12.Use (a − b)² = a² − 2ab + b² to find 13².
13. 13.The sum of two consecutive whole numbers is 23. What is the largest of them?
14. 14.Which of these is a perfect cube? (a) 512 (b) 605 (c) 703
15. 15.A trapezium has parallel sides of 17 cm and 16 cm, and the distance between them is 18 cm. What is its area (in square cm)?
16. 16.A trapezium has an area of 72 square cm. Its parallel sides are 19 cm and 5 cm. What is the distance between them (in cm)?
17. 17.A cuboid is 8 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
18. 18.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
19. 19.A town has 50000 people. The population grows by 20% every year. What will the population be after 3 years?
20. 20.What amount will ₹38000 grow to in 3 years at 20% per year compound interest (in ₹)?
21. 21.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
22. 22.What is the smallest whole number by which 704 must be divided to get a perfect square?
23. 23.Use a² − b² = (a + b)(a − b) to find 35² − 24².
24. 24.The length of a rectangle is 8 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
25. 25.What is the smallest whole number by which 50 must be multiplied to get a perfect square?
26. 26.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
27. 27.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
28. 28.Use (a − b)² = a² − 2ab + b² to find 27².
29. 29.What is ∛5832? =
30. 30.How many whole numbers lie between 7² and 8²?
31. 31.What is ∛6859? =
32. 32.Which of these is a perfect square? (a) 355 (b) 349 (c) 324
33. 33.Which of these is a perfect cube? (a) 3086 (b) 3177 (c) 2744
34. 34.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
35. 35.Find the value of x² + 2xy + y² when x = 5 and y = 2.
36. 36.What is √9801? =
37. 37.Write 120 in standard form as 1.2 × 10ⁿ. What is n?
38. 38.Write 4.8 × 10⁻⁴ as a decimal. =
39. 39.A scooter is worth ₹53500. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
40. 40.What amount will ₹47600 grow to in 2 years at 5% per year compound interest (in ₹)?

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