Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 708 · 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.What is 22²? =
2. 2.The sum of two consecutive whole numbers is 35. What is the smallest of them?
3. 3.What is 54²? =
4. 4.A room is 3 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
5. 5.What is the value of 4²? =
6. 6.What is the difference between the compound interest and the simple interest on ₹6300 at 10% per year for 2 years (in ₹)?
7. 7.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
8. 8.If a + b = 12 and ab = 35, what is a² + b²?
9. 9.How many whole numbers lie between 49² and 50²?
10. 10.The length of a rectangle is 10 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
11. 11.If a − b = 1 and ab = 42, what is a² + b²?
12. 12.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
13. 13.Use (a + b)(a − b) = a² − b² to find 95 × 85.
14. 14.What is √1764? =
15. 15.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
16. 16.What amount will ₹1600 grow to in 3 years at 25% per year compound interest (in ₹)?
17. 17.What is the difference between the compound interest and the simple interest on ₹34200 at 10% per year for 2 years (in ₹)?
18. 18.A square garden has an area of 2809 square m. How long is each side (in m)?
19. 19.If a − b = 1 and ab = 6, what is a² + b²?
20. 20.Use (a + b)² = a² + 2ab + b² to find 77².
21. 21.The diagonals of a rhombus are 8 cm and 15 cm. What is its area (in square cm)?
22. 22.If a + b = 12 and ab = 27, what is a² + b²?
23. 23.Write 5¹³ ÷ 5⁴ as a single power 5ⁿ. What is n?
24. 24.A room is 8 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.What is the value of 3⁴ × 3⁻³? =
26. 26.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
27. 27.A cuboid is 5 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
28. 28.The sum of three consecutive whole numbers is 129. What is the largest of them?
29. 29.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
30. 30.What amount will ₹37300 grow to in 1 year at 8% per year compound interest (in ₹)?
31. 31.The length of a rectangle is 3 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
32. 32.The diagonals of a rhombus are 26 cm and 12 cm. What is its area (in square cm)?
33. 33.A town has 43100 people. The population grows by 10% every year. What will the population be after 1 year?
34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
35. 35.Find the value of x² + 2xy + y² when x = 10 and y = 3.
36. 36.Write 8² × 8⁸ as a single power 8ⁿ. What is n?
37. 37.Solve: 3x + 7 = x + 35. What is x?
38. 38.Use (a − b)² = a² − 2ab + b² to find 16².
39. 39.What amount will ₹48300 grow to in 1 year at 10% per year compound interest (in ₹)?
40. 40.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets