Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 368 · 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 ∛12167? =
2. 2.Use (a + b)(a − b) = a² − b² to find 45 × 35.
3. 3.The sum of two consecutive whole numbers is 33. What is the smallest of them?
4. 4.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
5. 5.If a + b = 18 and ab = 77, what is a² + b²?
6. 6.Find the compound interest on ₹32000 at 25% per year for 3 years, compounded every year (in ₹).
7. 7.A room is 6 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
8. 8.What is the value of 5²? =
9. 9.Use a² − b² = (a + b)(a − b) to find 54² − 32².
10. 10.A cuboid is 4 cm long, 4 cm wide and 8 cm high. What is its total surface area (in square cm)?
11. 11.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
12. 12.What is 92²? =
13. 13.Use (a + b)(a − b) = a² − b² to find 108 × 92.
14. 14.If a − b = 2 and ab = 3, what is a² + b²?
15. 15.Use (a + b)² = a² + 2ab + b² to find 53².
16. 16.Use (a − b)² = a² − 2ab + b² to find 64².
17. 17.What amount will ₹50800 grow to in 2 years at 25% per year compound interest (in ₹)?
18. 18.Solve: 3y + 11 = 2y + 14. What is y?
19. 19.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
20. 20.Use (a + b)(a − b) = a² − b² to find 52 × 48.
21. 21.The sum of two consecutive whole numbers is 25. What is the smallest of them?
22. 22.Use (a + b)(a − b) = a² − b² to find 79 × 61.
23. 23.A room is 4 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
24. 24.Find the compound interest on ₹30900 at 20% per year for 1 year, compounded every year (in ₹).
25. 25.What is the smallest whole number by which 686 must be multiplied to get a perfect square?
26. 26.Which of these is a perfect cube? (a) 761 (b) 729 (c) 860
27. 27.What is the value of 9³? =
28. 28.What is 20³? =
29. 29.Use (a − b)² = a² − 2ab + b² to find 86².
30. 30.Solve: m/2 + m/3 = 25. What is m?
31. 31.Which of these is a perfect square? (a) 289 (b) 321 (c) 304
32. 32.What is 37²? =
33. 33.Use (a + b)² = a² + 2ab + b² to find 73².
34. 34.Which of these is a perfect cube? (a) 134 (b) 152 (c) 125
35. 35.Write 2.1 × 10⁻³ as a decimal. =
36. 36.A cuboid is 5 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
37. 37.A father is 33 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
38. 38.What is the value of 7⁴? =
39. 39.Write 7,80,000 in standard form as 7.8 × 10ⁿ. What is n?
40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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