Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 586 · 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 square garden has an area of 1936 square m. How long is each side (in m)?
2. 2.Use (a + b)² = a² + 2ab + b² to find 18².
3. 3.What is the value of 2²? =
4. 4.What is the value of 9²? =
5. 5.Use (a + b)² = a² + 2ab + b² to find 96².
6. 6.Which of these is a perfect cube? (a) 2933 (b) 2744 (c) 2790
7. 7.A room is 3 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.Write 7¹⁵ ÷ 7⁶ as a single power 7ⁿ. What is n?
9. 9.A town has 40000 people. The population grows by 4% every year. What will the population be after 2 years?
10. 10.What is the value of 2⁹? =
11. 11.Write 3.4 × 10⁻⁴ as a decimal. =
12. 12.What is the value of 3⁴ × 3⁻⁴? =
13. 13.How many whole numbers lie between 34² and 35²?
14. 14.Solve: 4(p − 1) = 3p + 3. What is p?
15. 15.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
16. 16.What is ∛1331? =
17. 17.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
18. 18.Solve: 5t + 9 = 2t + 48. What is t?
19. 19.Use (a + b)² = a² + 2ab + b² to find 31².
20. 20.What is √3844? =
21. 21.What is the value of 3⁶? =
22. 22.What is 17³? =
23. 23.Solve: 3y + 14 = y + 40. What is y?
24. 24.Write 9.8 × 10⁻² as a decimal. =
25. 25.What is 97²? =
26. 26.Find the value of x² + 2xy + y² when x = 6 and y = 4.
27. 27.The length of a rectangle is 8 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
28. 28.Solve: p/2 + p/5 = 14. What is p?
29. 29.Write 5.9 × 10⁻³ as a decimal. =
30. 30.A father is 34 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?
31. 31.Solve: 5(m − 4) = m + 52. What is m?
32. 32.What is the difference between the compound interest and the simple interest on ₹8600 at 20% per year for 2 years (in ₹)?
33. 33.Write 3⁷ × 3⁸ as a single power 3ⁿ. What is n?
34. 34.A cuboid is 9 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
35. 35.Use (a + b)(a − b) = a² − b² to find 36 × 24.
36. 36.What amount will ₹3800 grow to in 1 year at 5% per year compound interest (in ₹)?
37. 37.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
38. 38.How many whole numbers lie between 50² and 51²?
39. 39.A scooter is worth ₹27100. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
40. 40.Solve: m/5 + m/6 = 11. What is m?

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