Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 605 · 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 the value of 2³? =
2. 2.Write 7⁹ ÷ 7² as a single power 7ⁿ. What is n?
3. 3.What is 76²? =
4. 4.Use (a + b)(a − b) = a² − b² to find 96 × 84.
5. 5.Find the value of x² − 2xy + y² when x = 9 and y = 6.
6. 6.What is √7056? =
7. 7.Write 3² × 3⁸ as a single power 3ⁿ. What is n?
8. 8.Which of these is a perfect cube? (a) 52 (b) 47 (c) 27
9. 9.Use (a + b)² = a² + 2ab + b² to find 33².
10. 10.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
11. 11.What is the difference between the compound interest and the simple interest on ₹8800 at 25% per year for 2 years (in ₹)?
12. 12.Write 6⁷ × 6³ as a single power 6ⁿ. What is n?
13. 13.Which of these is a perfect square? (a) 225 (b) 236 (c) 243
14. 14.The length of a rectangle is 3 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
15. 15.What is the value of 2⁴ × 2⁻⁴? =
16. 16.What amount will ₹53800 grow to in 1 year at 8% per year compound interest (in ₹)?
17. 17.Solve: 3(m − 2) = m + 16. What is m?
18. 18.What is the difference between the compound interest and the simple interest on ₹52500 at 10% per year for 2 years (in ₹)?
19. 19.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
20. 20.Write 8¹¹ ÷ 8⁹ as a single power 8ⁿ. What is n?
21. 21.Use (a + b)² = a² + 2ab + b² to find 31².
22. 22.A cuboid is 15 cm long, 3 cm wide and 7 cm high. What is its total surface area (in square cm)?
23. 23.Write 3⁶ × 3³ as a single power 3ⁿ. What is n?
24. 24.Find the value of x² + 2xy + y² when x = 7 and y = 3.
25. 25.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
26. 26.3.4 × 10⁴ =
27. 27.If a + b = 4 and ab = 3, what is a² + b²?
28. 28.The sum of four consecutive whole numbers is 214. What is the largest of them?
29. 29.Which of these is a perfect cube? (a) 2768 (b) 3114 (c) 2744
30. 30.Use (a − b)² = a² − 2ab + b² to find 75².
31. 31.Use (a + b)(a − b) = a² − b² to find 62 × 58.
32. 32.What is the smallest whole number by which 864 must be divided to get a perfect cube?
33. 33.What amount will ₹29700 grow to in 1 year at 4% per year compound interest (in ₹)?
34. 34.Use (a + b)(a − b) = a² − b² to find 72 × 68.
35. 35.What is √3136? =
36. 36.The sum of two consecutive whole numbers is 19. What is the smallest of them?
37. 37.Use (a + b)(a − b) = a² − b² to find 93 × 87.
38. 38.What is ∛6859? =
39. 39.Use (a + b)(a − b) = a² − b² to find 41 × 39.
40. 40.A cuboid is 10 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?

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