Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 982 · 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 6³? =
2. 2.Find the value of x² − 2xy + y² when x = 6 and y = 3.
3. 3.What is 10³? =
4. 4.What is the difference between the compound interest and the simple interest on ₹42400 at 15% per year for 2 years (in ₹)?
5. 5.Solve: 7p + 12 = 4p + 15. What is p?
6. 6.Which of these is a perfect square? (a) 239 (b) 225 (c) 229
7. 7.How many whole numbers lie between 14² and 15²?
8. 8.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
9. 9.Write 8.7 × 10⁻¹ as a decimal. =
10. 10.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
11. 11.Use (a − b)² = a² − 2ab + b² to find 92².
12. 12.Use (a + b)² = a² + 2ab + b² to find 42².
13. 13.Which of these is a perfect cube? (a) 3599 (b) 3375 (c) 3640
14. 14.What is 20³? =
15. 15.A scooter is worth ₹14500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
16. 16.Use a² − b² = (a + b)(a − b) to find 25² − 5².
17. 17.Find the value of x² − y² when x = 3 and y = 2.
18. 18.What is the smallest whole number by which 540 must be multiplied to get a perfect square?
19. 19.A trapezium has parallel sides of 7 cm and 5 cm, and the distance between them is 14 cm. What is its area (in square cm)?
20. 20.4.4 × 10⁶ =
21. 21.A trapezium has an area of 212 square cm. Its parallel sides are 28 cm and 25 cm. What is the distance between them (in cm)?
22. 22.Use a² − b² = (a + b)(a − b) to find 68² − 7².
23. 23.A trapezium has parallel sides of 25 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
24. 24.Find the value of x² + 2xy + y² when x = 11 and y = 1.
25. 25.What is √2116? =
26. 26.What is the value of 10³? =
27. 27.Use (a + b)(a − b) = a² − b² to find 89 × 71.
28. 28.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
29. 29.What is ∛64? =
30. 30.Use (a + b)(a − b) = a² − b² to find 106 × 94.
31. 31.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
32. 32.What is √9216? =
33. 33.Which of these is a perfect cube? (a) 159 (b) 189 (c) 125
34. 34.A square garden has an area of 900 square m. How long is each side (in m)?
35. 35.Which of these is a perfect square? (a) 841 (b) 864 (c) 875
36. 36.Find the value of x² − 2xy + y² when x = 15 and y = 8.
37. 37.What is ∛8? =
38. 38.What is the smallest whole number by which 28 must be multiplied to get a perfect square?
39. 39.Use (a + b)(a − b) = a² − b² to find 102 × 98.
40. 40.Write (8²)⁹ as a single power 8ⁿ. What is n?

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