Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 630 · 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.A cuboid is 6 cm long, 9 cm wide and 6 cm high. What is its total surface area (in square cm)?
2. 2.A cuboid is 13 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
3. 3.Use (a − b)² = a² − 2ab + b² to find 26².
4. 4.What is ∛125? =
5. 5.Write 5⁷ × 5⁸ as a single power 5ⁿ. What is n?
6. 6.What is the value of 6⁶? =
7. 7.A room is 6 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
8. 8.What amount will ₹20000 grow to in 2 years at 10% per year compound interest (in ₹)?
9. 9.A trapezium has an area of 288 square cm. Its parallel sides are 18 cm and 14 cm. What is the distance between them (in cm)?
10. 10.Find the value of x² + 2xy + y² when x = 9 and y = 7.
11. 11.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
12. 12.What is the value of 9⁴? =
13. 13.A square garden has an area of 196 square m. How long is each side (in m)?
14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
15. 15.A cuboid is 5 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
16. 16.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
17. 17.A town has 28000 people. The population grows by 4% every year. What will the population be after 1 year?
18. 18.What is √1849? =
19. 19.Solve: t/5 + t/6 = 77. What is t?
20. 20.9.4 × 10⁶ =
21. 21.What is the smallest whole number by which 432 must be divided to get a perfect cube?
22. 22.Write 7⁶ × 7⁵ as a single power 7ⁿ. What is n?
23. 23.Write 9.1 × 10⁻¹ as a decimal. =
24. 24.Find the compound interest on ₹27000 at 10% per year for 3 years, compounded every year (in ₹).
25. 25.What is the value of 5⁵ × 5⁻⁵? =
26. 26.A scooter is worth ₹12600. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
27. 27.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
28. 28.What is ∛64? =
29. 29.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
30. 30.What is √2809? =
31. 31.What is 8³? =
32. 32.The sum of two consecutive whole numbers is 75. What is the smallest of them?
33. 33.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).
34. 34.What is the value of 5² × 5⁻¹? =
35. 35.What is 7³? =
36. 36.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
37. 37.What is the value of 10⁵? =
38. 38.Use (a + b)² = a² + 2ab + b² to find 105².
39. 39.A trapezium has parallel sides of 13 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
40. 40.A room is 10 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?

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