Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 469 · 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 39²? =
2. 2.The diagonals of a rhombus are 22 cm and 30 cm. What is its area (in square cm)?
3. 3.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
4. 4.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
5. 5.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
6. 6.Use (a − b)² = a² − 2ab + b² to find 28².
7. 7.Use (a − b)² = a² − 2ab + b² to find 67².
8. 8.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
9. 9.Which of these is a perfect cube? (a) 1508 (b) 1468 (c) 1331
10. 10.What is 22²? =
11. 11.A room is 7 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
12. 12.What is the smallest whole number by which 180 must be multiplied to get a perfect square?
13. 13.A town has 59300 people. The population grows by 4% every year. What will the population be after 1 year?
14. 14.Write 4⁴ × 4³ as a single power 4ⁿ. What is n?
15. 15.A trapezium has parallel sides of 5 cm and 30 cm, and the distance between them is 16 cm. What is its area (in square cm)?
16. 16.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
17. 17.What amount will ₹45800 grow to in 1 year at 12% per year compound interest (in ₹)?
18. 18.Which of these is a perfect square? (a) 553 (b) 541 (c) 529
19. 19.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
20. 20.What is √6241? =
21. 21.Solve: y/4 + y/3 = 49. What is y?
22. 22.Use (a + b)(a − b) = a² − b² to find 52 × 48.
23. 23.Use (a + b)(a − b) = a² − b² to find 62 × 58.
24. 24.Find the compound interest on ₹60000 at 4% per year for 2 years, compounded every year (in ₹).
25. 25.Which of these is a perfect square? (a) 1391 (b) 1369 (c) 1373
26. 26.How many whole numbers lie between 39² and 40²?
27. 27.Solve: 4(m − 2) = m + 10. What is m?
28. 28.A cuboid is 15 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
29. 29.Use a² − b² = (a + b)(a − b) to find 90² − 73².
30. 30.Write 800 in standard form as 8 × 10ⁿ. What is n?
31. 31.What is the difference between the compound interest and the simple interest on ₹35000 at 10% per year for 2 years (in ₹)?
32. 32.A square garden has an area of 841 square m. How long is each side (in m)?
33. 33.A trapezium has an area of 294 square cm. Its parallel sides are 20 cm and 29 cm. What is the distance between them (in cm)?
34. 34.What is the smallest whole number by which 135 must be divided to get a perfect cube?
35. 35.Solve: 5(n − 5) = 3n + 7. What is n?
36. 36.Find the compound interest on ₹4400 at 5% per year for 2 years, compounded every year (in ₹).
37. 37.Solve: 3(x − 1) = x + 9. What is x?
38. 38.What is the value of (1/5)⁻¹? =
39. 39.A trapezium has an area of 350 square cm. Its parallel sides are 6 cm and 29 cm. What is the distance between them (in cm)?
40. 40.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?

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