Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 764 · 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.A room is 8 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.What is √4761? =
3. 3.Write 9.3 × 10⁻⁴ as a decimal. =
4. 4.What is 3³? =
5. 5.Which of these is a perfect square? (a) 542 (b) 529 (c) 534
6. 6.Find the compound interest on ₹5000 at 8% per year for 2 years, compounded every year (in ₹).
7. 7.Use (a + b)² = a² + 2ab + b² to find 24².
8. 8.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
9. 9.Find the value of x² − 2xy + y² when x = 9 and y = 2.
10. 10.Use (a + b)² = a² + 2ab + b² to find 22².
11. 11.Use a² − b² = (a + b)(a − b) to find 57² − 46².
12. 12.Which of these is a perfect square? (a) 197 (b) 205 (c) 196
13. 13.What is the difference between the compound interest and the simple interest on ₹57700 at 10% per year for 2 years (in ₹)?
14. 14.A scooter is worth ₹45200. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
15. 15.A father is 16 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
16. 16.If a + b = 9 and ab = 18, what is a² + b²?
17. 17.What is 71²? =
18. 18.What is the value of 2⁴ × 2⁻³? =
19. 19.Use (a + b)(a − b) = a² − b² to find 82 × 78.
20. 20.What is the value of (3/7)⁻¹? =
21. 21.If a + b = 12 and ab = 35, what is a² + b²?
22. 22.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
23. 23.A trapezium has parallel sides of 7 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
24. 24.Find the value of x² + 2xy + y² when x = 10 and y = 3.
25. 25.What is ∛512? =
26. 26.A cuboid is 3 cm long, 5 cm wide and 2 cm high. What is its total surface area (in square cm)?
27. 27.The sum of two consecutive whole numbers is 33. What is the largest of them?
28. 28.A father is 36 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
29. 29.Write 6,30,00,000 in standard form as 6.3 × 10ⁿ. What is n?
30. 30.What amount will ₹32000 grow to in 3 years at 5% per year compound interest (in ₹)?
31. 31.What is the difference between the compound interest and the simple interest on ₹38000 at 10% per year for 2 years (in ₹)?
32. 32.Use (a + b)² = a² + 2ab + b² to find 58².
33. 33.What is the value of 2⁶ × 2⁻¹? =
34. 34.Write 25,000 in standard form as 2.5 × 10ⁿ. What is n?
35. 35.A father is 22 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
36. 36.Write 2.4 × 10⁻⁴ as a decimal. =
37. 37.Solve: 3(p − 4) = 2p + 3. What is p?
38. 38.9.1 × 10⁴ =
39. 39.Find the compound interest on ₹37500 at 4% per year for 2 years, compounded every year (in ₹).
40. 40.The sum of four consecutive whole numbers is 82. What is the largest of them?

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