Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 555 · 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 room is 3 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.The length of a rectangle is 13 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
3. 3.Which of these is a perfect cube? (a) 3824 (b) 3826 (c) 3375
4. 4.A trapezium has an area of 108 square cm. Its parallel sides are 12 cm and 24 cm. What is the distance between them (in cm)?
5. 5.What is the difference between the compound interest and the simple interest on ₹28800 at 25% per year for 2 years (in ₹)?
6. 6.Use a² − b² = (a + b)(a − b) to find 53² − 29².
7. 7.A square garden has an area of 729 square m. How long is each side (in m)?
8. 8.What is 31²? =
9. 9.A cuboid is 4 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
10. 10.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
11. 11.What amount will ₹7500 grow to in 2 years at 12% per year compound interest (in ₹)?
12. 12.What is the smallest whole number by which 18 must be multiplied to get a perfect square?
13. 13.Solve: 3(m − 1) = m + 1. What is m?
14. 14.What is 21²? =
15. 15.Find the value of x² − 2xy + y² when x = 9 and y = 4.
16. 16.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
17. 17.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
18. 18.Use (a − b)² = a² − 2ab + b² to find 33².
19. 19.A scooter is worth ₹16600. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
20. 20.What is 41²? =
21. 21.Write 290 in standard form as 2.9 × 10ⁿ. What is n?
22. 22.What is the smallest whole number by which 252 must be divided to get a perfect square?
23. 23.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
24. 24.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
26. 26.A town has 10100 people. The population grows by 8% every year. What will the population be after 1 year?
27. 27.Solve: 3(m − 4) = m + 12. What is m?
28. 28.Write 9⁸ × 9² as a single power 9ⁿ. What is n?
29. 29.Use a² − b² = (a + b)(a − b) to find 42² − 8².
30. 30.A square garden has an area of 576 square m. How long is each side (in m)?
31. 31.What is the smallest whole number by which 108 must be divided to get a perfect cube?
32. 32.A trapezium has parallel sides of 8 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
33. 33.What is 14³? =
34. 34.Write 6,70,000 in standard form as 6.7 × 10ⁿ. What is n?
35. 35.A scooter is worth ₹7100. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
36. 36.If a + b = 5 and ab = 6, what is a² + b²?
37. 37.Write 8.8 × 10⁻¹ as a decimal. =
38. 38.A square garden has an area of 529 square m. How long is each side (in m)?
39. 39.If a + b = 7 and ab = 10, what is a² + b²?
40. 40.A trapezium has parallel sides of 11 cm and 6 cm, and the distance between them is 18 cm. What is its area (in square cm)?

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