Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 890 · 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.What amount will ₹3600 grow to in 2 years at 25% per year compound interest (in ₹)?
2. 2.Use a² − b² = (a + b)(a − b) to find 83² − 44².
3. 3.What is the difference between the compound interest and the simple interest on ₹32800 at 25% per year for 2 years (in ₹)?
4. 4.Which of these is a perfect cube? (a) 3629 (b) 3375 (c) 3932
5. 5.Use (a + b)² = a² + 2ab + b² to find 15².
6. 6.A cuboid is 14 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
7. 7.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
8. 8.A trapezium has parallel sides of 17 cm and 23 cm, and the distance between them is 14 cm. What is its area (in square cm)?
9. 9.What is the difference between the compound interest and the simple interest on ₹24000 at 25% per year for 2 years (in ₹)?
10. 10.Solve: 5(y − 1) = 2y + 25. What is y?
11. 11.Write 9¹⁰ ÷ 9² as a single power 9ⁿ. What is n?
12. 12.What is 18²? =
13. 13.Use (a + b)² = a² + 2ab + b² to find 28².
14. 14.Use a² − b² = (a + b)(a − b) to find 78² − 13².
15. 15.Find the compound interest on ₹60000 at 10% per year for 3 years, compounded every year (in ₹).
16. 16.What is the smallest whole number by which 128 must be divided to get a perfect square?
17. 17.Solve: 8y + 6 = 5y + 51. What is y?
18. 18.What amount will ₹26400 grow to in 2 years at 25% per year compound interest (in ₹)?
19. 19.Which of these is a perfect cube? (a) 50 (b) 38 (c) 27
20. 20.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
21. 21.A town has 46400 people. The population grows by 4% every year. What will the population be after 1 year?
22. 22.Find the compound interest on ₹48100 at 8% per year for 1 year, compounded every year (in ₹).
23. 23.If a − b = 4 and ab = 45, what is a² + b²?
24. 24.What amount will ₹42800 grow to in 2 years at 5% per year compound interest (in ₹)?
25. 25.Find the compound interest on ₹5000 at 20% per year for 3 years, compounded every year (in ₹).
26. 26.Write (3⁶)⁹ as a single power 3ⁿ. What is n?
27. 27.Use (a − b)² = a² − 2ab + b² to find 61².
28. 28.Use a² − b² = (a + b)(a − b) to find 55² − 43².
29. 29.The length of a rectangle is 1 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
30. 30.What is √441? =
31. 31.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
32. 32.What is the difference between the compound interest and the simple interest on ₹27500 at 12% per year for 2 years (in ₹)?
33. 33.What is the value of 2⁻¹ (as a fraction)? =
34. 34.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
35. 35.What is the difference between the compound interest and the simple interest on ₹60000 at 12% per year for 2 years (in ₹)?
36. 36.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
37. 37.What is the value of 2⁸? =
38. 38.Which of these is a perfect cube? (a) 220 (b) 245 (c) 216
39. 39.What is the difference between the compound interest and the simple interest on ₹22800 at 25% per year for 2 years (in ₹)?
40. 40.A square garden has an area of 1764 square m. How long is each side (in m)?

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