Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 828 · 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.The diagonals of a rhombus are 16 cm and 28 cm. What is its area (in square cm)?
2. 2.A trapezium has an area of 392 square cm. Its parallel sides are 27 cm and 22 cm. What is the distance between them (in cm)?
3. 3.A room is 11 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
4. 4.A town has 56800 people. The population grows by 15% every year. What will the population be after 2 years?
5. 5.What is the value of (5/9)⁻²? =
6. 6.Which of these is a perfect square? (a) 1024 (b) 1066 (c) 1029
7. 7.Find the value of x² − 2xy + y² when x = 4 and y = 1.
8. 8.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
9. 9.A father is 18 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
10. 10.Solve: 8y + 2 = 7y + 11. What is y?
11. 11.Which of these is a perfect square? (a) 400 (b) 427 (c) 410
12. 12.What is the value of 3⁴ × 3⁻⁴? =
13. 13.Find the value of x² − y² when x = 13 and y = 12.
14. 14.Which of these is a perfect cube? (a) 2197 (b) 2531 (c) 2423
15. 15.What amount will ₹52400 grow to in 2 years at 15% per year compound interest (in ₹)?
16. 16.A trapezium has parallel sides of 17 cm and 26 cm, and the distance between them is 18 cm. What is its area (in square cm)?
17. 17.What is 92²? =
18. 18.What is √6241? =
19. 19.What is 88²? =
20. 20.Find the value of x² + 2xy + y² when x = 7 and y = 4.
21. 21.What is √6561? =
22. 22.What amount will ₹3000 grow to in 3 years at 20% per year compound interest (in ₹)?
23. 23.Solve: 4m + 14 = 2m + 44. What is m?
24. 24.A father is 15 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
25. 25.A father is 22 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
26. 26.Use (a + b)² = a² + 2ab + b² to find 22².
27. 27.What is 10³? =
28. 28.A square garden has an area of 784 square m. How long is each side (in m)?
29. 29.A square garden has an area of 3364 square m. How long is each side (in m)?
30. 30.What is ∛2744? =
31. 31.How many whole numbers lie between 26² and 27²?
32. 32.A square garden has an area of 2025 square m. How long is each side (in m)?
33. 33.Use (a − b)² = a² − 2ab + b² to find 76².
34. 34.Solve: x/5 + x/6 = 33. What is x?
35. 35.The diagonals of a rhombus are 18 cm and 24 cm. What is its area (in square cm)?
36. 36.What is the difference between the compound interest and the simple interest on ₹7600 at 25% per year for 2 years (in ₹)?
37. 37.If a + b = 5 and ab = 4, what is a² + b²?
38. 38.Write 5¹² ÷ 5⁶ as a single power 5ⁿ. What is n?
39. 39.A trapezium has an area of 116 square cm. Its parallel sides are 21 cm and 8 cm. What is the distance between them (in cm)?
40. 40.A trapezium has an area of 112 square cm. Its parallel sides are 18 cm and 14 cm. What is the distance between them (in cm)?

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