Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 257 · 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 √169? =
2. 2.What is 7³? =
3. 3.What is the difference between the compound interest and the simple interest on ₹27500 at 4% per year for 2 years (in ₹)?
4. 4.Write (8⁶)² as a single power 8ⁿ. What is n?
5. 5.What amount will ₹44900 grow to in 1 year at 12% per year compound interest (in ₹)?
6. 6.A town has 12000 people. The population grows by 10% every year. What will the population be after 3 years?
7. 7.A trapezium has parallel sides of 23 cm and 28 cm, and the distance between them is 2 cm. What is its area (in square cm)?
8. 8.What is 28²? =
9. 9.What is the value of 5⁴ × 5⁻³? =
10. 10.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
11. 11.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
12. 12.What is the difference between the compound interest and the simple interest on ₹57600 at 5% per year for 2 years (in ₹)?
13. 13.Use a² − b² = (a + b)(a − b) to find 69² − 32².
14. 14.A scooter is worth ₹35900. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
15. 15.Solve: 5p + 6 = 2p + 15. What is p?
16. 16.Find the compound interest on ₹17200 at 15% per year for 2 years, compounded every year (in ₹).
17. 17.The length of a rectangle is 9 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
18. 18.What amount will ₹50000 grow to in 2 years at 15% per year compound interest (in ₹)?
19. 19.What is 57²? =
20. 20.What is the value of 7⁻² (as a fraction)? =
21. 21.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.What is √1600? =
23. 23.Find the compound interest on ₹32500 at 4% per year for 2 years, compounded every year (in ₹).
24. 24.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
25. 25.Which of these is a perfect square? (a) 314 (b) 316 (c) 289
26. 26.What is the smallest whole number by which 112 must be divided to get a perfect square?
27. 27.A father is 32 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
28. 28.The diagonals of a rhombus are 14 cm and 9 cm. What is its area (in square cm)?
29. 29.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
30. 30.Use a² − b² = (a + b)(a − b) to find 56² − 38².
31. 31.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
32. 32.4.4 × 10⁴ =
33. 33.Use a² − b² = (a + b)(a − b) to find 35² − 16².
34. 34.Use (a + b)² = a² + 2ab + b² to find 56².
35. 35.What is the value of 2¹²? =
36. 36.What is ∛1331? =
37. 37.What is 33²? =
38. 38.Solve: 4(y − 5) = 2y + 2. What is y?
39. 39.5.6 × 10⁴ =
40. 40.What is √6724? =

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