Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 621 · 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.Solve: 4y + 4 = 3y + 18. What is y?
2. 2.Solve: n/6 + n/5 = 22. What is n?
3. 3.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?
4. 4.What is √784? =
5. 5.Use (a + b)(a − b) = a² − b² to find 46 × 34.
6. 6.The sum of two consecutive whole numbers is 109. What is the smallest of them?
7. 7.What is the value of (1/5)⁻¹? =
8. 8.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
9. 9.How many whole numbers lie between 32² and 33²?
10. 10.What is the smallest whole number by which 245 must be multiplied to get a perfect square?
11. 11.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
12. 12.Write 9.5 × 10⁻³ as a decimal. =
13. 13.Write (7⁴)⁹ as a single power 7ⁿ. What is n?
14. 14.The diagonals of a rhombus are 8 cm and 9 cm. What is its area (in square cm)?
15. 15.A scooter is worth ₹32500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
16. 16.Use a² − b² = (a + b)(a − b) to find 81² − 18².
17. 17.What amount will ₹13900 grow to in 1 year at 20% per year compound interest (in ₹)?
18. 18.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
19. 19.Use a² − b² = (a + b)(a − b) to find 88² − 6².
20. 20.A father is 30 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
21. 21.Use a² − b² = (a + b)(a − b) to find 20² − 6².
22. 22.What is the smallest whole number by which 675 must be divided to get a perfect cube?
23. 23.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
24. 24.Write 1.5 × 10⁻⁴ as a decimal. =
25. 25.Solve: y/5 + y/2 = 21. What is y?
26. 26.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
27. 27.What is 20³? =
28. 28.Solve: 3(p − 1) = 2p + 11. What is p?
29. 29.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
30. 30.Find the compound interest on ₹51200 at 15% per year for 2 years, compounded every year (in ₹).
31. 31.What is √289? =
32. 32.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
33. 33.What is the value of 10⁴ × 10⁻⁴? =
34. 34.What is the smallest whole number by which 20 must be divided to get a perfect square?
35. 35.A town has 48800 people. The population grows by 25% every year. What will the population be after 2 years?
36. 36.A room is 4 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.Write 3⁹ × 3⁷ as a single power 3ⁿ. What is n?
38. 38.A room is 11 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
39. 39.What is √4489? =
40. 40.Use (a − b)² = a² − 2ab + b² to find 91².

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