Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 526 · 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.Which of these is a perfect square? (a) 229 (b) 225 (c) 252
2. 2.Use (a + b)(a − b) = a² − b² to find 51 × 49.
3. 3.The sum of three consecutive whole numbers is 87. What is the largest of them?
4. 4.Use (a − b)² = a² − 2ab + b² to find 78².
5. 5.What is 20³? =
6. 6.What is the smallest whole number by which 98 must be divided to get a perfect square?
7. 7.Find the compound interest on ₹54000 at 5% per year for 2 years, compounded every year (in ₹).
8. 8.How many whole numbers lie between 33² and 34²?
9. 9.Write 6⁸ × 6⁴ as a single power 6ⁿ. What is n?
10. 10.The length of a rectangle is 2 cm more than its width. Its perimeter is 36 cm. What is its width (in cm)?
11. 11.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
12. 12.What is the value of 3⁹? =
13. 13.The diagonals of a rhombus are 14 cm and 5 cm. What is its area (in square cm)?
14. 14.A square garden has an area of 3249 square m. How long is each side (in m)?
15. 15.The diagonals of a rhombus are 20 cm and 9 cm. What is its area (in square cm)?
16. 16.Write 2.7 × 10⁻² as a decimal. =
17. 17.What is ∛2744? =
18. 18.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
19. 19.Write 6.7 × 10⁻² as a decimal. =
20. 20.Solve: 8x + 7 = 3x + 12. What is x?
21. 21.A room is 4 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.Use (a − b)² = a² − 2ab + b² to find 22².
23. 23.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
24. 24.9.2 × 10⁴ =
25. 25.How many whole numbers lie between 13² and 14²?
26. 26.A town has 13600 people. The population grows by 25% every year. What will the population be after 2 years?
27. 27.Use a² − b² = (a + b)(a − b) to find 94² − 20².
28. 28.What is the value of 2¹⁰? =
29. 29.Solve: p/2 + p/3 = 5. What is p?
30. 30.Solve: m/6 + m/2 = 24. What is m?
31. 31.The length of a rectangle is 5 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
32. 32.Use a² − b² = (a + b)(a − b) to find 55² − 20².
33. 33.A trapezium has parallel sides of 11 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
34. 34.Solve: 4y + 10 = y + 37. What is y?
35. 35.What is the smallest whole number by which 192 must be multiplied to get a perfect square?
36. 36.What is the value of 10⁵ × 10⁻¹? =
37. 37.What is √5476? =
38. 38.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
39. 39.Solve: 5(x − 2) = x + 2. What is x?
40. 40.Write 810 in standard form as 8.1 × 10ⁿ. What is n?

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