Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 558 · 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 81²? =
2. 2.Use a² − b² = (a + b)(a − b) to find 69² − 30².
3. 3.Use (a − b)² = a² − 2ab + b² to find 38².
4. 4.What amount will ₹17500 grow to in 1 year at 4% per year compound interest (in ₹)?
5. 5.A square garden has an area of 1444 square m. How long is each side (in m)?
6. 6.The diagonals of a rhombus are 30 cm and 17 cm. What is its area (in square cm)?
7. 7.Use (a − b)² = a² − 2ab + b² to find 65².
8. 8.What is √729? =
9. 9.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
10. 10.A square garden has an area of 529 square m. How long is each side (in m)?
11. 11.Write 7¹⁴ ÷ 7⁵ as a single power 7ⁿ. What is n?
12. 12.What is the smallest whole number by which 832 must be multiplied to get a perfect square?
13. 13.A cuboid is 9 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
14. 14.If a − b = 7 and ab = 30, what is a² + b²?
15. 15.Use (a − b)² = a² − 2ab + b² to find 97².
16. 16.Solve: m/6 + m/2 = 24. What is m?
17. 17.A room is 6 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
18. 18.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
19. 19.A square garden has an area of 900 square m. How long is each side (in m)?
20. 20.Which of these is a perfect square? (a) 379 (b) 361 (c) 367
21. 21.Write 6.2 × 10⁻³ as a decimal. =
22. 22.5.4 × 10⁵ =
23. 23.What is ∛8? =
24. 24.Solve: 4(y − 5) = 2y + 6. What is y?
25. 25.Use (a + b)² = a² + 2ab + b² to find 83².
26. 26.Find the compound interest on ₹3300 at 20% per year for 1 year, compounded every year (in ₹).
27. 27.Solve: 9n + 7 = 7n + 15. What is n?
28. 28.A father is 12 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
29. 29.Solve: 8n + 10 = n + 87. What is n?
30. 30.Use a² − b² = (a + b)(a − b) to find 58² − 18².
31. 31.Use (a + b)² = a² + 2ab + b² to find 22².
32. 32.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
33. 33.How many whole numbers lie between 50² and 51²?
34. 34.What is 15²? =
35. 35.Find the compound interest on ₹30800 at 20% per year for 2 years, compounded every year (in ₹).
36. 36.A square garden has an area of 625 square m. How long is each side (in m)?
37. 37.What amount will ₹48800 grow to in 2 years at 15% per year compound interest (in ₹)?
38. 38.What is √1156? =
39. 39.What is the value of 5⁻⁴ (as a fraction)? =
40. 40.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?

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