Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 907 · 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 difference between the compound interest and the simple interest on ₹54000 at 20% per year for 2 years (in ₹)?
2. 2.Write 3.9 × 10⁻⁴ as a decimal. =
3. 3.Use (a + b)(a − b) = a² − b² to find 95 × 85.
4. 4.Use (a + b)² = a² + 2ab + b² to find 35².
5. 5.What is ∛6859? =
6. 6.What is the value of 6⁶? =
7. 7.The sum of three consecutive whole numbers is 39. What is the smallest of them?
8. 8.A trapezium has an area of 50 square cm. Its parallel sides are 13 cm and 12 cm. What is the distance between them (in cm)?
9. 9.What is the value of 8³? =
10. 10.How many whole numbers lie between 36² and 37²?
11. 11.What is ∛10648? =
12. 12.What is the value of 10⁻¹ (as a fraction)? =
13. 13.What is 41²? =
14. 14.Use (a − b)² = a² − 2ab + b² to find 83².
15. 15.A cuboid is 9 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
16. 16.The sum of two consecutive whole numbers is 37. What is the largest of them?
17. 17.A trapezium has an area of 54 square cm. Its parallel sides are 5 cm and 22 cm. What is the distance between them (in cm)?
18. 18.Find the compound interest on ₹21800 at 25% per year for 1 year, compounded every year (in ₹).
19. 19.What is the value of 2⁻³ (as a fraction)? =
20. 20.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
21. 21.Which of these is a perfect cube? (a) 2244 (b) 2197 (c) 2510
22. 22.Write 4,00,000 in standard form as 4 × 10ⁿ. What is n?
23. 23.Which of these is a perfect cube? (a) 593 (b) 616 (c) 512
24. 24.What is 19³? =
25. 25.Find the value of x² − 2xy + y² when x = 14 and y = 1.
26. 26.What is the smallest whole number by which 117 must be divided to get a perfect square?
27. 27.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
28. 28.What amount will ₹47700 grow to in 1 year at 4% per year compound interest (in ₹)?
29. 29.What is √6241? =
30. 30.A cuboid is 6 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
31. 31.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
33. 33.How many whole numbers lie between 28² and 29²?
34. 34.A cuboid is 12 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
35. 35.What is the value of 5³ × 5⁻⁴? =
36. 36.Which of these is a perfect square? (a) 357 (b) 324 (c) 329
37. 37.Find the value of x² − 2xy + y² when x = 8 and y = 2.
38. 38.What is the value of 2¹⁴? =
39. 39.What is the smallest whole number by which 28 must be divided to get a perfect square?
40. 40.Find the compound interest on ₹25000 at 8% per year for 2 years, compounded every year (in ₹).

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