Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 987 · 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.Use (a − b)² = a² − 2ab + b² to find 33².
2. 2.Find the value of x² − y² when x = 3 and y = 2.
3. 3.What is the value of 5⁻⁴ (as a fraction)? =
4. 4.Write 7.9 × 10⁻¹ as a decimal. =
5. 5.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
6. 6.If a − b = 1 and ab = 90, what is a² + b²?
7. 7.What is 63²? =
8. 8.Use a² − b² = (a + b)(a − b) to find 74² − 51².
9. 9.What is the value of 4²? =
10. 10.What is the value of 2⁷? =
11. 11.A cuboid is 6 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
12. 12.A father is 22 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
13. 13.What is the value of 2¹⁶? =
14. 14.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.What is √4096? =
16. 16.3.4 × 10² =
17. 17.Use a² − b² = (a + b)(a − b) to find 86² − 65².
18. 18.Use (a − b)² = a² − 2ab + b² to find 92².
19. 19.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
20. 20.A father is 48 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
21. 21.What is the value of 8⁴? =
22. 22.If a + b = 12 and ab = 32, what is a² + b²?
23. 23.Solve: 5n + 4 = 2n + 16. What is n?
24. 24.Find the value of x² − y² when x = 4 and y = 3.
25. 25.What is 62²? =
26. 26.A scooter is worth ₹25600. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
27. 27.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
28. 28.How many whole numbers lie between 16² and 17²?
29. 29.What is the value of 3¹ × 3⁻⁶? =
30. 30.The length of a rectangle is 4 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
31. 31.Which of these is a perfect square? (a) 625 (b) 649 (c) 643
32. 32.What is 13³? =
33. 33.What is the value of 5³? =
34. 34.What is the smallest whole number by which 135 must be divided to get a perfect cube?
35. 35.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
36. 36.Use (a + b)² = a² + 2ab + b² to find 79².
37. 37.A scooter is worth ₹2500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
38. 38.If a + b = 5 and ab = 6, what is a² + b²?
39. 39.Write 4,600 in standard form as 4.6 × 10ⁿ. What is n?
40. 40.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?

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