Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 37 · 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 18³? =
2. 2.A town has 27900 people. The population grows by 10% every year. What will the population be after 2 years?
3. 3.A trapezium has parallel sides of 20 cm and 18 cm, and the distance between them is 18 cm. What is its area (in square cm)?
4. 4.Which of these is a perfect square? (a) 1521 (b) 1526 (c) 1535
5. 5.Find the compound interest on ₹40000 at 5% per year for 3 years, compounded every year (in ₹).
6. 6.A room is 8 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.Use (a + b)(a − b) = a² − b² to find 86 × 74.
8. 8.A square garden has an area of 225 square m. How long is each side (in m)?
9. 9.Find the compound interest on ₹17000 at 20% per year for 3 years, compounded every year (in ₹).
10. 10.Find the value of x² − 2xy + y² when x = 3 and y = 2.
11. 11.Which of these is a perfect cube? (a) 2129 (b) 1728 (c) 1953
12. 12.What is 17²? =
13. 13.What is the value of 4⁻² (as a fraction)? =
14. 14.Solve: 4(m − 3) = 2m + 26. What is m?
15. 15.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
16. 16.A father is 13 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
17. 17.What is the value of 2⁻⁹ (as a fraction)? =
18. 18.What is the smallest whole number by which 135 must be divided to get a perfect square?
19. 19.Solve: 4(x − 3) = 3x + 12. What is x?
20. 20.A trapezium has parallel sides of 19 cm and 2 cm, and the distance between them is 20 cm. What is its area (in square cm)?
21. 21.Write 4¹⁰ ÷ 4⁵ as a single power 4ⁿ. What is n?
22. 22.A scooter is worth ₹16000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
23. 23.Write 990 in standard form as 9.9 × 10ⁿ. What is n?
24. 24.Which of these is a perfect square? (a) 315 (b) 296 (c) 289
25. 25.Write 3¹⁵ ÷ 3⁹ as a single power 3ⁿ. What is n?
26. 26.What is the value of 6⁴? =
27. 27.How many whole numbers lie between 34² and 35²?
28. 28.A scooter is worth ₹8000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
29. 29.A town has 12800 people. The population grows by 25% every year. What will the population be after 3 years?
30. 30.What is √2401? =
31. 31.Find the compound interest on ₹46000 at 10% per year for 3 years, compounded every year (in ₹).
32. 32.A scooter is worth ₹14600. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
33. 33.What is the value of 5⁴ × 5⁻⁶? =
34. 34.What is the difference between the compound interest and the simple interest on ₹22100 at 20% per year for 2 years (in ₹)?
35. 35.Solve: 6x + 19 = 2x + 27. What is x?
36. 36.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.What is the value of 5² × 5⁻⁶? =
38. 38.What is the difference between the compound interest and the simple interest on ₹31600 at 25% per year for 2 years (in ₹)?
39. 39.The diagonals of a rhombus are 20 cm and 5 cm. What is its area (in square cm)?
40. 40.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?

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