Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 921 · 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 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
2. 2.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
3. 3.Solve: 7x + 13 = 2x + 68. What is x?
4. 4.What is 46²? =
5. 5.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
6. 6.Use a² − b² = (a + b)(a − b) to find 30² − 2².
7. 7.Use (a + b)(a − b) = a² − b² to find 61 × 59.
8. 8.What is the difference between the compound interest and the simple interest on ₹29100 at 20% per year for 2 years (in ₹)?
9. 9.A trapezium has an area of 190 square cm. Its parallel sides are 18 cm and 2 cm. What is the distance between them (in cm)?
10. 10.The length of a rectangle is 11 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
11. 11.The diagonals of a rhombus are 10 cm and 6 cm. What is its area (in square cm)?
12. 12.What amount will ₹43500 grow to in 3 years at 20% per year compound interest (in ₹)?
13. 13.If a + b = 4 and ab = 3, what is a² + b²?
14. 14.Use (a + b)(a − b) = a² − b² to find 104 × 96.
15. 15.Solve: t/3 + t/5 = 40. What is t?
16. 16.What is the difference between the compound interest and the simple interest on ₹11600 at 25% per year for 2 years (in ₹)?
17. 17.A room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
18. 18.How many whole numbers lie between 14² and 15²?
19. 19.Write 9.2 × 10⁻² as a decimal. =
20. 20.What is the smallest whole number by which 72 must be divided to get a perfect cube?
21. 21.Find the value of x² − 2xy + y² when x = 9 and y = 2.
22. 22.What is 9³? =
23. 23.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
24. 24.A scooter is worth ₹30000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
25. 25.What is the smallest whole number by which 539 must be divided to get a perfect square?
26. 26.A room is 10 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
27. 27.Use a² − b² = (a + b)(a − b) to find 35² − 22².
28. 28.Find the compound interest on ₹12500 at 4% per year for 2 years, compounded every year (in ₹).
29. 29.Solve: 4(n − 2) = 2n + 24. What is n?
30. 30.What is 93²? =
31. 31.If a − b = 9 and ab = 22, what is a² + b²?
32. 32.What is the difference between the compound interest and the simple interest on ₹55600 at 15% per year for 2 years (in ₹)?
33. 33.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
34. 34.What is the value of (3/4)⁻¹? =
35. 35.Find the value of x² − y² when x = 4 and y = 2.
36. 36.Use (a + b)(a − b) = a² − b² to find 92 × 88.
37. 37.Which of these is a perfect cube? (a) 216 (b) 251 (c) 276
38. 38.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
39. 39.Which of these is a perfect square? (a) 256 (b) 286 (c) 258
40. 40.Find the compound interest on ₹59200 at 25% per year for 3 years, compounded every year (in ₹).

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