Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 357 · 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 62² − 26².
2. 2.What amount will ₹7500 grow to in 3 years at 20% per year compound interest (in ₹)?
3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
4. 4.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
5. 5.The length of a rectangle is 3 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
6. 6.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?
7. 7.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
8. 8.Find the compound interest on ₹6000 at 20% per year for 3 years, compounded every year (in ₹).
9. 9.If a − b = 5 and ab = 50, what is a² + b²?
10. 10.Write (5²)⁴ as a single power 5ⁿ. What is n?
11. 11.Solve: n/2 + n/4 = 3. What is n?
12. 12.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
13. 13.How many whole numbers lie between 14² and 15²?
14. 14.Use (a + b)(a − b) = a² − b² to find 28 × 12.
15. 15.6.6 × 10⁷ =
16. 16.What is ∛13824? =
17. 17.What is the value of 6⁴? =
18. 18.What is the smallest whole number by which 539 must be multiplied to get a perfect square?
19. 19.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
20. 20.The diagonals of a rhombus are 26 cm and 26 cm. What is its area (in square cm)?
21. 21.What amount will ₹21200 grow to in 2 years at 5% per year compound interest (in ₹)?
22. 22.What is ∛1331? =
23. 23.What is √7396? =
24. 24.Which of these is a perfect cube? (a) 4032 (b) 3562 (c) 3375
25. 25.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
26. 26.Use (a + b)² = a² + 2ab + b² to find 31².
27. 27.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
28. 28.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
29. 29.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
30. 30.Use (a − b)² = a² − 2ab + b² to find 29².
31. 31.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
32. 32.Find the compound interest on ₹8400 at 15% per year for 2 years, compounded every year (in ₹).
33. 33.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
34. 34.If a + b = 6 and ab = 8, what is a² + b²?
35. 35.Which of these is a perfect square? (a) 1441 (b) 1409 (c) 1369
36. 36.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
37. 37.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
38. 38.Write 7.5 × 10⁻³ as a decimal. =
39. 39.What is the value of 5²? =
40. 40.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?

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