Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 882 · 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 trapezium has parallel sides of 20 cm and 30 cm, and the distance between them is 14 cm. What is its area (in square cm)?
2. 2.Use (a + b)² = a² + 2ab + b² to find 61².
3. 3.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
4. 4.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
5. 5.A square garden has an area of 361 square m. How long is each side (in m)?
6. 6.Which of these is a perfect square? (a) 1485 (b) 1444 (c) 1515
7. 7.Use (a + b)(a − b) = a² − b² to find 69 × 51.
8. 8.Write 3¹² ÷ 3³ as a single power 3ⁿ. What is n?
9. 9.A cuboid is 6 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
10. 10.What amount will ₹45000 grow to in 2 years at 4% per year compound interest (in ₹)?
11. 11.Use (a − b)² = a² − 2ab + b² to find 19².
12. 12.If a − b = 6 and ab = 16, what is a² + b²?
13. 13.Use a² − b² = (a + b)(a − b) to find 43² − 8².
14. 14.What is the value of 10⁴ × 10⁻²? =
15. 15.A cuboid is 12 cm long, 6 cm wide and 8 cm high. What is its total surface area (in square cm)?
16. 16.Solve: t/2 + t/6 = 16. What is t?
17. 17.Use (a + b)(a − b) = a² − b² to find 107 × 93.
18. 18.What is the value of 3⁻⁴ (as a fraction)? =
19. 19.A square garden has an area of 1156 square m. How long is each side (in m)?
20. 20.Use (a + b)(a − b) = a² − b² to find 59 × 41.
21. 21.Which of these is a perfect cube? (a) 512 (b) 583 (c) 564
22. 22.How many whole numbers lie between 7² and 8²?
23. 23.A trapezium has parallel sides of 18 cm and 30 cm, and the distance between them is 6 cm. What is its area (in square cm)?
24. 24.Write 22,000 in standard form as 2.2 × 10ⁿ. What is n?
25. 25.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
26. 26.Use (a + b)(a − b) = a² − b² to find 35 × 25.
27. 27.Use (a − b)² = a² − 2ab + b² to find 71².
28. 28.Solve: 5(x − 3) = 3x + 23. What is x?
29. 29.Use (a + b)(a − b) = a² − b² to find 81 × 79.
30. 30.A father is 33 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
31. 31.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
32. 32.Use (a − b)² = a² − 2ab + b² to find 17².
33. 33.What is the value of 3¹ × 3⁻⁶? =
34. 34.What amount will ₹5000 grow to in 2 years at 8% per year compound interest (in ₹)?
35. 35.Use (a − b)² = a² − 2ab + b² to find 16².
36. 36.A square garden has an area of 1369 square m. How long is each side (in m)?
37. 37.Solve: 3(y − 5) = 2y + 1. What is y?
38. 38.What is the value of 5⁴? =
39. 39.Write 7,500 in standard form as 7.5 × 10ⁿ. What is n?
40. 40.The diagonals of a rhombus are 18 cm and 30 cm. What is its area (in square cm)?

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