Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 959 · 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.Use (a + b)(a − b) = a² − b² to find 35 × 25.
2. 2.What is the value of 5² × 5⁻¹? =
3. 3.The diagonals of a rhombus are 12 cm and 17 cm. What is its area (in square cm)?
4. 4.What is ∛64? =
5. 5.What is the value of 2¹⁵? =
6. 6.The length of a rectangle is 14 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
7. 7.The length of a rectangle is 3 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
8. 8.A scooter is worth ₹6500. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
9. 9.Solve: 5m + 7 = m + 63. What is m?
10. 10.Use a² − b² = (a + b)(a − b) to find 28² − 15².
11. 11.Which of these is a perfect square? (a) 484 (b) 498 (c) 497
12. 12.Find the compound interest on ₹8200 at 20% per year for 1 year, compounded every year (in ₹).
13. 13.Use (a − b)² = a² − 2ab + b² to find 83².
14. 14.Use (a + b)² = a² + 2ab + b² to find 85².
15. 15.A square garden has an area of 900 square m. How long is each side (in m)?
16. 16.A trapezium has an area of 130 square cm. Its parallel sides are 5 cm and 8 cm. What is the distance between them (in cm)?
17. 17.The sum of four consecutive whole numbers is 130. What is the smallest of them?
18. 18.Write (9³)² as a single power 9ⁿ. What is n?
19. 19.A trapezium has parallel sides of 8 cm and 22 cm, and the distance between them is 18 cm. What is its area (in square cm)?
20. 20.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
21. 21.What is the smallest whole number by which 208 must be divided to get a perfect square?
22. 22.What is the value of (1/3)⁻²? =
23. 23.Use (a + b)(a − b) = a² − b² to find 81 × 79.
24. 24.What is ∛125? =
25. 25.Find the compound interest on ₹55600 at 15% per year for 2 years, compounded every year (in ₹).
26. 26.A trapezium has parallel sides of 7 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
27. 27.What amount will ₹2400 grow to in 2 years at 5% per year compound interest (in ₹)?
28. 28.Solve: 3(p − 5) = p + 15. What is p?
29. 29.A town has 15200 people. The population grows by 15% every year. What will the population be after 2 years?
30. 30.What is 7³? =
31. 31.What amount will ₹21200 grow to in 2 years at 5% per year compound interest (in ₹)?
32. 32.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
33. 33.A father is 30 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
34. 34.What is √900? =
35. 35.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
36. 36.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
37. 37.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
38. 38.Use a² − b² = (a + b)(a − b) to find 38² − 14².
39. 39.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
40. 40.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?

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