Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 585 · 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. 1.7.9 × 10⁵ =
2. 2.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
3. 3.Use a² − b² = (a + b)(a − b) to find 75² − 3².
4. 4.Solve: x/4 + x/2 = 18. What is x?
5. 5.What is √121? =
6. 6.A square garden has an area of 225 square m. How long is each side (in m)?
7. 7.The diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
8. 8.If a − b = 5 and ab = 66, what is a² + b²?
9. 9.The length of a rectangle is 8 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
10. 10.Solve: 3(m − 2) = m + 26. What is m?
11. 11.Find the compound interest on ₹7000 at 10% per year for 3 years, compounded every year (in ₹).
12. 12.The sum of three consecutive whole numbers is 156. What is the largest of them?
13. 13.Find the compound interest on ₹40000 at 5% per year for 3 years, compounded every year (in ₹).
14. 14.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
15. 15.What amount will ₹24300 grow to in 1 year at 15% per year compound interest (in ₹)?
16. 16.The length of a rectangle is 15 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
17. 17.A cuboid is 7 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
18. 18.A room is 8 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
19. 19.Write 4.6 × 10⁻⁴ as a decimal. =
20. 20.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
21. 21.Solve: 3(m − 3) = m + 7. What is m?
22. 22.The diagonals of a rhombus are 6 cm and 20 cm. What is its area (in square cm)?
23. 23.What is √144? =
24. 24.If a + b = 11 and ab = 18, what is a² + b²?
25. 25.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
26. 26.Which of these is a perfect cube? (a) 4022 (b) 3375 (c) 3565
27. 27.If a + b = 9 and ab = 18, what is a² + b²?
28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
29. 29.Write 8⁹ × 8² as a single power 8ⁿ. What is n?
30. 30.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
31. 31.A town has 10000 people. The population grows by 8% every year. What will the population be after 2 years?
32. 32.What amount will ₹24400 grow to in 2 years at 25% per year compound interest (in ₹)?
33. 33.A cuboid is 8 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
34. 34.A room is 9 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
35. 35.6.6 × 10³ =
36. 36.How many whole numbers lie between 48² and 49²?
37. 37.If a + b = 13 and ab = 22, what is a² + b²?
38. 38.A trapezium has an area of 51 square cm. Its parallel sides are 25 cm and 9 cm. What is the distance between them (in cm)?
39. 39.What amount will ₹11900 grow to in 1 year at 5% per year compound interest (in ₹)?
40. 40.What amount will ₹8000 grow to in 3 years at 15% per year compound interest (in ₹)?

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