Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 704 · 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 square garden has an area of 784 square m. How long is each side (in m)?
2. 2.The length of a rectangle is 11 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
3. 3.What is √1600? =
4. 4.What amount will ₹18400 grow to in 2 years at 15% per year compound interest (in ₹)?
5. 5.What is the value of 10² × 10⁻⁶? =
6. 6.What is √7744? =
7. 7.A father is 30 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
8. 8.What is the value of 5⁵ × 5⁻⁶? =
9. 9.A town has 28900 people. The population grows by 10% every year. What will the population be after 2 years?
10. 10.If a + b = 12 and ab = 35, what is a² + b²?
11. 11.Use (a + b)² = a² + 2ab + b² to find 86².
12. 12.Write 9⁵ × 9⁸ as a single power 9ⁿ. What is n?
13. 13.Use (a + b)² = a² + 2ab + b² to find 17².
14. 14.Write 7⁹ ÷ 7² as a single power 7ⁿ. What is n?
15. 15.Use (a − b)² = a² − 2ab + b² to find 43².
16. 16.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
17. 17.The sum of four consecutive whole numbers is 106. What is the largest of them?
18. 18.What is the value of 3²? =
19. 19.The diagonals of a rhombus are 22 cm and 8 cm. What is its area (in square cm)?
20. 20.Which of these is a perfect square? (a) 438 (b) 424 (c) 400
21. 21.Write 3⁷ × 3⁵ as a single power 3ⁿ. What is n?
22. 22.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
23. 23.What is 20³? =
24. 24.If a + b = 6 and ab = 5, what is a² + b²?
25. 25.What amount will ₹2000 grow to in 2 years at 15% per year compound interest (in ₹)?
26. 26.What is √7225? =
27. 27.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
28. 28.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
29. 29.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
30. 30.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
31. 31.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
32. 32.Use (a + b)² = a² + 2ab + b² to find 109².
33. 33.Which of these is a perfect cube? (a) 35 (b) 44 (c) 27
34. 34.Which of these is a perfect square? (a) 362 (b) 361 (c) 390
35. 35.A trapezium has parallel sides of 5 cm and 2 cm, and the distance between them is 8 cm. What is its area (in square cm)?
36. 36.What is the value of 2⁵ × 2⁻⁶? =
37. 37.The length of a rectangle is 1 cm more than its width. Its perimeter is 10 cm. What is its width (in cm)?
38. 38.What is 14³? =
39. 39.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
40. 40.A trapezium has parallel sides of 10 cm and 14 cm, and the distance between them is 8 cm. What is its area (in square cm)?

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